230804579942400
230,804,579,942,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 230804579942400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
230804579942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 230804579942400:
224 × 3 × 52 × 31 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 61 × 97)See below for interesting mathematical facts about the number 230804579942400 from the Numbermatics database.
Names of 230804579942400
- Cardinal: 230804579942400 can be written as Two hundred thirty trillion, eight hundred four billion, five hundred seventy-nine million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.308045799424 × 1014
Factors of 230804579942400
Divisors of 230804579942400
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 61 62 64 75 80 93 96 97 100 120 122 124 128 150 155 160 183 186 192 194 200 240 244 248 256 291 300 305 310 320 366 372 384 388 400 465 480 485 488 496 512 582 600 610 620 640 732 744 768 775 776 800 915 930 960 970 976 992 1024 1164 1200 1220 1240 1280 1455 1464 1488 1525 1536 1550 1552 1600 1830 1860 1891 1920 1940 1952 1984 2048 2325 2328 2400 2425 2440 2480 2560 2910 2928 2976 3007 3050 3072 3100 3104 3200 3660 3720 3782 3840 3880 3904 3968 4096 4575 4650 4656 4800 4850 4880 4960 5120 5673 5820 5856 5917 5952 6014 6100 6144 6200 6208 6400 7275 7320 7440 7564 7680 7760 7808 7936 8192 9021 9150 9300 9312 9455 9600 9700 9760 9920 10240 11346 11640 11712 11834 11904 12028 12200 12288 12400 12416 12800 14550 14640 14880 15035 15128 15360 15520 15616 15872 16384 17751 18042 18300 18600 18624 18910 19200 19400 19520 19840 20480 22692 23280 23424 23668 23808 24056 24400 24576 24800 24832 25600 28365 29100 29280 29585 29760 30070 30256 30720 31040 31232 31744 32768 35502 36084 36600 37200 37248 37820 38400 38800 39040 39680 40960 45105 45384 46560 46848 47275 47336 47616 48112 48800 49152 49600 49664 51200 56730 58200 58560 59170 59520 60140 60512 61440 62080 62464 63488 65536 71004 72168 73200 74400 74496 75175 75640 76800 77600 78080 79360 81920 88755 90210 90768 93120 93696 94550 94672 95232 96224 97600 98304 99200 99328 102400 113460 116400 117120 118340 119040 120280 121024 122880 124160 124928 126976 131072 141825 142008 144336 146400 147925 148800 148992 150350 151280 153600 155200 156160 158720 163840 177510 180420 181536 183427 186240 187392 189100 189344 190464 192448 195200 196608 198400 198656 204800 225525 226920 232800 234240 236680 238080 240560 242048 245760 248320 249856 253952 262144 283650 284016 288672 292800 295850 297600 297984 300700 302560 307200 310400 312320 317440 327680 355020 360840 363072 366854 372480 374784 378200 378688 380928 384896 390400 393216 396800 397312 409600 443775 451050 453840 465600 468480 473360 476160 481120 484096 491520 496640 499712 507904 524288 550281 567300 568032 577344 585600 591700 595200 595968 601400 605120 614400 620800 624640 634880 655360 710040 721680 726144 733708 744960 749568 756400 757376 761856 769792 780800 786432 793600 794624 819200 887550 902100 907680 917135 931200 936960 946720 952320 962240 968192 983040 993280 999424 1015808 1048576 1100562 1134600 1136064 1154688 1171200 1183400 1190400 1191936 1202800 1210240 1228800 1241600 1249280 1269760 1310720 1420080 1443360 1452288 1467416 1489920 1499136 1512800 1514752 1523712 1539584 1561600 1572864 1587200 1589248 1638400 1775100 1804200 1815360 1834270 1862400 1873920 1893440 1904640 1924480 1936384 1966080 1986560 1998848 2031616 2097152 2201124 2269200 2272128 2309376 2342400 2366800 2380800 2383872 2405600 2420480 2457600 2483200 2498560 2539520 2621440 2751405 2840160 2886720 2904576 2934832 2979840 2998272 3025600 3029504 3047424 3079168 3123200 3145728 3174400 3178496 3276800 3550200 3608400 3630720 3668540 3724800 3747840 3786880 3809280 3848960 3872768 3932160 3973120 3997696 4063232 4194304 4402248 4538400 4544256 4585675 4618752 4684800 4733600 4761600 4767744 4811200 4840960 4915200 4966400 4997120 5079040 5242880 5502810 5680320 5773440 5809152 5869664 5959680 5996544 6051200 6059008 6094848 6158336 6246400 6291456 6348800 6356992 6553600 7100400 7216800 7261440 7337080 7449600 7495680 7573760 7618560 7697920 7745536 7864320 7946240 7995392 8126464 8388608 8804496 9076800 9088512 9171350 9237504 9369600 9467200 9523200 9535488 9622400 9681920 9830400 9932800 9994240 10158080 10485760 11005620 11360640 11546880 11618304 11739328 11919360 11993088 12102400 12118016 12189696 12316672 12492800 12582912 12697600 12713984 13107200 13757025 14200800 14433600 14522880 14674160 14899200 14991360 15147520 15237120 15395840 15491072 15728640 15892480 15990784 16252928 16777216 17608992 18153600 18177024 18342700 18475008 18739200 18934400 19046400 19070976 19244800 19363840 19660800 19865600 19988480 20316160 20971520 22011240 22721280 23093760 23236608 23478656 23838720 23986176 24204800 24236032 24379392 24633344 24985600 25165824 25395200 25427968 26214400 27514050 28401600 28867200 29045760 29348320 29798400 29982720 30295040 30474240 30791680 30982144 31457280 31784960 31981568 32505856 35217984 36307200 36354048 36685400 36950016 37478400 37868800 38092800 38141952 38489600 38727680 39321600 39731200 39976960 40632320 41943040 44022480 45442560 46187520 46473216 46957312 47677440 47972352 48409600 48472064 48758784 49266688 49971200 50331648 50790400 50855936 52428800 55028100 56803200 57734400 58091520 58696640 59596800 59965440 60590080 60948480 61583360 61964288 62914560 63569920 63963136 65011712 70435968 72614400 72708096 73370800 73900032 74956800 75737600 76185600 76283904 76979200 77455360 78643200 79462400 79953920 81264640 83886080 88044960 90885120 92375040 92946432 93914624 95354880 95944704 96819200 96944128 97517568 98533376 99942400 101580800 101711872 104857600 110056200 113606400 115468800 116183040 117393280 119193600 119930880 121180160 121896960 123166720 123928576 125829120 127139840 127926272 130023424 140871936 145228800 145416192 146741600 147800064 149913600 151475200 152371200 152567808 153958400 154910720 157286400 158924800 159907840 162529280 176089920 181770240 184750080 185892864 187829248 190709760 191889408 193638400 193888256 195035136 197066752 199884800 203161600 203423744 209715200 220112400 227212800 230937600 232366080 234786560 238387200 239861760 242360320 243793920 246333440 247857152 251658240 254279680 255852544 260046848 281743872 290457600 290832384 293483200 295600128 299827200 302950400 304742400 305135616 307916800 309821440 314572800 317849600 319815680 325058560 352179840 363540480 369500160 371785728 375658496 381419520 383778816 387276800 387776512 390070272 394133504 399769600 406323200 406847488 419430400 440224800 454425600 461875200 464732160 469573120 476774400 479723520 484720640 487587840 492666880 495714304 508559360 511705088 520093696 563487744 580915200 581664768 586966400 591200256 599654400 605900800 609484800 610271232 615833600 619642880 629145600 635699200 639631360 650117120 704359680 727080960 739000320 743571456 751316992 762839040 767557632 774553600 775553024 780140544 788267008 799539200 812646400 813694976 880449600 908851200 923750400 929464320 939146240 953548800 959447040 969441280 975175680 985333760 991428608 1017118720 1023410176 1126975488 1161830400 1163329536 1173932800 1182400512 1199308800 1211801600 1218969600 1220542464 1231667200 1239285760 1258291200 1271398400 1279262720 1300234240 1408719360 1454161920 1478000640 1487142912 1502633984 1525678080 1535115264 1549107200 1551106048 1560281088 1576534016 1599078400 1625292800 1627389952 1760899200 1817702400 1847500800 1858928640 1878292480 1907097600 1918894080 1938882560 1950351360 1970667520 1982857216 2034237440 2253950976 2323660800 2326659072 2347865600 2364801024 2398617600 2423603200 2437939200 2441084928 2463334400 2478571520 2542796800 2558525440 2600468480 2817438720 2908323840 2956001280 2974285824 3005267968 3051356160 3070230528 3098214400 3102212096 3153068032 3198156800 3250585600 3521798400 3635404800 3695001600 3717857280 3756584960 3814195200 3837788160 3877765120 3900702720 3941335040 3965714432 4068474880 4507901952 4647321600 4653318144 4695731200 4729602048 4797235200 4847206400 4875878400 4882169856 4926668800 4957143040 5085593600 5117050880 5634877440 5816647680 5912002560 5948571648 6010535936 6102712320 6196428800 6204424192 6306136064 6396313600 6501171200 7043596800 7270809600 7390003200 7435714560 7513169920 7628390400 7675576320 7755530240 7801405440 7882670080 7931428864 8136949760 9015803904 9294643200 9306636288 9391462400 9459204096 9594470400 9694412800 9751756800 9853337600 9914286080 10171187200 11269754880 11633295360 11824005120 11897143296 12021071872 12205424640 12392857600 12408848384 12612272128 12792627200 13002342400 14087193600 14541619200 14780006400 14871429120 15026339840 15256780800 15351152640 15511060480 15765340160 15862857728 18031607808 18589286400 18613272576 18782924800 18918408192 19188940800 19388825600 19503513600 19706675200 19828572160 20342374400 22539509760 23266590720 23648010240 23794286592 24042143744 24410849280 24785715200 24817696768 25224544256 25585254400 28174387200 29083238400 29560012800 29742858240 30052679680 30513561600 31022120960 31530680320 31725715456 36063215616 37178572800 37226545152 37565849600 37836816384 38377881600 38777651200 39007027200 39413350400 39657144320 40684748800 45079019520 46533181440 47296020480 47588573184 48084287488 49571430400 49635393536 50449088512 56348774400 58166476800 59120025600 59485716480 60105359360 61027123200 62044241920 63061360640 72126431232 74357145600 74453090304 75131699200 75673632768 76755763200 77555302400 78826700800 79314288640 90158039040 93066362880 94592040960 95177146368 96168574976 99142860800 99270787072 112697548800 116332953600 118240051200 118971432960 120210718720 122054246400 124088483840 126122721280 144252862464 148714291200 148906180608 150263398400 151347265536 155110604800 157653401600 158628577280 180316078080 186132725760 189184081920 192337149952 198285721600 225395097600 232665907200 236480102400 237942865920 240421437440 248176967680 252245442560 288505724928 297428582400 297812361216 300526796800 310221209600 315306803200 360632156160 372265451520 378368163840 384674299904 396571443200 450790195200 465331814400 472960204800 475885731840 480842874880 496353935360 577011449856 594857164800 601053593600 620442419200 630613606400 721264312320 744530903040 756736327680 769348599808 793142886400 901580390400 930663628800 945920409600 961685749760 1154022899712 1189714329600 1202107187200 1240884838400 1261227212800 1442528624640 1489061806080 1538697199616 1803160780800 1861327257600 1891840819200 1923371499520 2308045799424 2379428659200 2404214374400 2481769676800 2885057249280 3077394399232 3606321561600 3722654515200 3783681638400 3846742999040 4616091598848 4808428748800 5770114498560 7212643123200 7445309030400 7693485998080 9232183197696 9616857497600 11540228997120 14425286246400 15386971996160 19233714995200 23080457994240 28850572492800 38467429990400 46160915988480 57701144985600 76934859980800 115402289971200 230804579942400
- Sum of all divisors σ(n): 808982835895808
- Sum of proper divisors (its aliquot sum) s(n): 578178255953408
- 230804579942400 is an abundant number, because the sum of its proper divisors (578178255953408) is greater than itself. Its abundance is 347373676011008
Bases of 230804579942400
- Binary: 1101000111101010011000010000000000000000000000002
- Hexadecimal: 0xD1EA61000000
- Base-36: 29TA5RP79C
Squares and roots of 230804579942400
- 230804579942400 squared (2308045799424002) is 53270754122387712387317760000
- 230804579942400 cubed (2308045799424003) is 12295134028432569117266140689831297024000000
-
The
square root of 230804579942400 is 15192253.9454289007 -
The
cube root of 230804579942400 is 61340.6171066521
Scales and comparisons
How big is 230804579942400?- 230,804,579,942,400 seconds is equal to 7,338,871 years, 37 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 230,804,579,942,400 would take you about eighteen million, three hundred forty-seven thousand, one hundred seventy-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230804579942400 cubic inches would be around 5111.7 feet tall.
Recreational maths with 230804579942400
- 230804579942400 backwards is 004249975408032
- The number of decimal digits it has is: 15
- The sum of 230804579942400's digits is 57
- More coming soon!
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The information we have on file for 230804579942400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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