230135831078400
230,135,831,078,400 is an even composite number composed of six prime numbers multiplied together.
230135831078400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 230135831078400:
29 × 33 × 52 × 13 × 31 × 1652363
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 31 × 1652363)See below for interesting mathematical facts about the number 230135831078400 from the Numbermatics database.
Names of 230135831078400
- Cardinal: 230135831078400 can be written as Two hundred thirty trillion, one hundred thirty-five billion, eight hundred thirty-one million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.301358310784 × 1014
Factors of 230135831078400
Divisors of 230135831078400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 64 65 72 75 78 80 90 93 96 100 104 108 117 120 124 128 130 135 144 150 155 156 160 180 186 192 195 200 208 216 225 234 240 248 256 260 270 279 288 300 310 312 320 325 351 360 372 384 390 400 403 416 432 450 465 468 480 496 512 520 540 558 576 585 600 620 624 640 650 675 702 720 744 768 775 780 800 806 832 837 864 900 930 936 960 975 992 1040 1080 1116 1152 1170 1200 1209 1240 1248 1280 1300 1350 1395 1404 1440 1488 1536 1550 1560 1600 1612 1664 1674 1728 1755 1800 1860 1872 1920 1950 1984 2015 2080 2160 2232 2304 2325 2340 2400 2418 2480 2496 2560 2600 2700 2790 2808 2880 2925 2976 3100 3120 3200 3224 3328 3348 3456 3510 3600 3627 3720 3744 3840 3900 3968 4030 4160 4185 4320 4464 4608 4650 4680 4800 4836 4960 4992 5200 5400 5580 5616 5760 5850 5952 6045 6200 6240 6400 6448 6656 6696 6912 6975 7020 7200 7254 7440 7488 7680 7800 7936 8060 8320 8370 8640 8775 8928 9300 9360 9600 9672 9920 9984 10075 10400 10800 10881 11160 11232 11520 11700 11904 12090 12400 12480 12800 12896 13392 13824 13950 14040 14400 14508 14880 14976 15600 15872 16120 16640 16740 17280 17550 17856 18135 18600 18720 19200 19344 19840 19968 20150 20800 20925 21600 21762 22320 22464 23040 23400 23808 24180 24800 24960 25792 26784 27900 28080 28800 29016 29760 29952 30225 31200 32240 33280 33480 34560 35100 35712 36270 37200 37440 38400 38688 39680 40300 41600 41850 43200 43524 44640 44928 46800 47616 48360 49600 49920 51584 53568 54405 55800 56160 57600 58032 59520 59904 60450 62400 64480 66960 69120 70200 71424 72540 74400 74880 77376 79360 80600 83200 83700 86400 87048 89280 89856 90675 93600 96720 99200 99840 103168 107136 108810 111600 112320 115200 116064 119040 120900 124800 128960 133920 140400 142848 145080 148800 149760 154752 161200 166400 167400 172800 174096 178560 179712 181350 187200 193440 198400 206336 214272 217620 223200 224640 232128 238080 241800 249600 257920 267840 272025 280800 290160 297600 299520 309504 322400 334800 345600 348192 357120 362700 374400 386880 396800 428544 435240 446400 449280 464256 483600 499200 515840 535680 544050 561600 580320 595200 619008 644800 669600 696384 714240 725400 748800 773760 870480 892800 898560 928512 967200 1031680 1071360 1088100 1123200 1160640 1190400 1289600 1339200 1392768 1450800 1497600 1547520 1652363 1740960 1785600 1857024 1934400 2142720 2176200 2246400 2321280 2579200 2678400 2785536 2901600 3095040 3304726 3481920 3571200 3868800 4352400 4492800 4642560 4957089 5158400 5356800 5571072 5803200 6609452 6963840 7737600 8261815 8704800 9285120 9914178 10713600 11606400 13218904 13927680 14871267 15475200 16523630 17409600 19828356 21480719 23212800 24785445 26437808 27855360 29742534 33047260 34819200 39656712 41309075 42961438 44613801 46425600 49570890 51223253 52875616 59485068 64442157 66094520 69638400 74356335 79313424 82618150 85922876 89227602 99141780 102446506 105751232 107403595 118970136 123927225 128884314 132189040 139276800 148712670 153669759 158626848 165236300 171845752 178455204 193326471 198283560 204893012 211502464 214807190 223069005 237940272 247854450 256116265 257768628 264378080 297425340 307339518 317253696 322210785 330472600 343691504 356910408 371781675 386652942 396567120 409786024 423004928 429614380 446138010 461009277 475880544 495708900 512232530 515537256 528756160 537017975 579979413 594850680 614679036 634507392 644421570 660945200 665902289 687383008 713820816 743563350 768348795 773305884 793134240 819572048 846009856 859228760 892276020 922018554 951761088 966632355 991417800 1024465060 1031074512 1057512320 1074035950 1115345025 1159958826 1189701360 1229358072 1269014784 1280581325 1288843140 1321890400 1331804578 1374766016 1383027831 1427641632 1487126700 1536697590 1546611768 1586268480 1611053925 1639144096 1718457520 1784552040 1844037108 1903522176 1933264710 1982835600 1997706867 2048930120 2062149024 2115024640 2148071900 2230690050 2305046385 2319917652 2379402720 2458716144 2538029568 2561162650 2577686280 2643780800 2663609156 2749532032 2766055662 2855283264 2899897065 2974253400 3073395180 3093223536 3172536960 3222107850 3278288192 3329511445 3436915040 3569104080 3688074216 3807044352 3841743975 3866529420 3965671200 3995413734 4097860240 4124298048 4230049280 4296143800 4461380100 4610092770 4639835304 4758805440 4833161775 4917432288 5122325300 5155372560 5287561600 5327218312 5499064064 5532111324 5710566528 5799794130 5948506800 5993120601 6146790360 6186447072 6345073920 6444215700 6556576384 6659022890 6873830080 6915139155 7138208160 7376148432 7614088704 7683487950 7733058840 7931342400 7990827468 8195720480 8248596096 8592287600 8922760200 9220185540 9279670608 9517610880 9666323550 9834864576 9988534335 10244650600 10310745120 10575123200 10654436624 10998128128 11064222648 11421133056 11525231925 11599588260 11897013600 11986241202 12293580720 12372894144 12690147840 12888431400 13113152768 13318045780 13747660160 13830278310 14276416320 14499485325 14752296864 15366975900 15466117680 15862684800 15981654936 16391440960 16497192192 16647557225 17184575200 17845520400 17979361803 18440371080 18559341216 19035221760 19332647100 19669729152 19977068670 20489301200 20621490240 21150246400 21308873248 22128445296 22842266112 23050463850 23199176520 23794027200 23972482404 24587161440 24745788288 25776862800 26226305536 26636091560 27495320320 27660556620 28552832640 28998970650 29504593728 29965603005 30733951800 30932235360 31725369600 31963309872 32782881920 32994384384 33295114450 34369150400 34575695775 35691040800 35958723606 36880742160 37118682432 38070443520 38665294200 39339458304 39954137340 40978602400 41242980480 42617746496 44256890592 46100927700 46398353040 47588054400 47944964808 49174322880 49491576576 49942671675 51553725600 53272183120 54990640640 55321113240 57105665280 57997941300 59009187456 59931206010 61467903600 61864470720 63450739200 63926619744 65565763840 66590228900 68738300800 69151391550 71382081600 71917447212 73761484320 74237364864 77330588400 78678916608 79908274680 81957204800 82485960960 85235492992 88513781184 89896809015 92201855400 92796706080 95176108800 95889929616 98348645760 98983153152 99885343350 103107451200 106544366240 110642226480 114211330560 115995882600 118018374912 119862412020 122935807200 123728941440 127853239488 131131527680 133180457800 137476601600 138302783100 142764163200 143834894424 147522968640 148474729728 149828015025 154661176800 159816549360 163914409600 164971921920 170470985984 177027562368 179793618030 184403710800 185593412160 190352217600 191779859232 196697291520 199770686700 206214902400 213088732480 221284452960 231991765200 236036749824 239724824040 245871614400 247457882880 255706478976 266360915600 274953203200 276605566200 285528326400 287669788848 295045937280 296949459456 299656030050 309322353600 319633098720 327828819200 340941971968 354055124736 359587236060 368807421600 371186824320 383559718464 393394583040 399541373400 412429804800 426177464960 442568905920 449484045075 463983530400 479449648080 491743228800 494915765760 511412957952 532721831200 553211132400 571056652800 575339577696 590091874560 599312060100 618644707200 639266197440 655657638400 708110249472 719174472120 737614843200 742373648640 767119436928 799082746800 824859609600 852354929920 885137811840 898968090150 927967060800 958899296160 983486457600 1022825915904 1065443662400 1106422264800 1150679155392 1180183749120 1198624120200 1237289414400 1278532394880 1438348944240 1475229686400 1484747297280 1534238873856 1598165493600 1704709859840 1770275623680 1797936180300 1855934121600 1917798592320 1966972915200 2130887324800 2212844529600 2301358310784 2397248240400 2474578828800 2557064789760 2876697888480 2950459372800 3068477747712 3196330987200 3540551247360 3595872360600 3711868243200 3835597184640 4261774649600 4425689059200 4602716621568 4794496480800 5114129579520 5753395776960 5900918745600 6392661974400 7191744721200 7423736486400 7671194369280 8523549299200 8851378118400 9205433243136 9588992961600 11506791553920 12785323948800 14383489442400 15342388738560 17702756236800 19177985923200 23013583107840 25570647897600 28766978884800 38355971846400 46027166215680 57533957769600 76711943692800 115067915539200 230135831078400
- Sum of all divisors σ(n): 939033438013440
- Sum of proper divisors (its aliquot sum) s(n): 708897606935040
- 230135831078400 is an abundant number, because the sum of its proper divisors (708897606935040) is greater than itself. Its abundance is 478761775856640
Bases of 230135831078400
- Binary: 1101000101001110101011000111011000100110000000002
- Hexadecimal: 0xD14EAC762600
- Base-36: 29KQXVW5C0
Squares and roots of 230135831078400
- 230135831078400 squared (2301358310784002) is 52962500746145859306946560000
- 230135831078400 cubed (2301358310784003) is 12188569125204657437311066027855970304000000
-
The
square root of 230135831078400 is 15170228.4451619251 -
The
cube root of 230135831078400 is 61281.3156384593
Scales and comparisons
How big is 230135831078400?- 230,135,831,078,400 seconds is equal to 7,317,607 years, 29 weeks, 5 days.
-
To count from 1 to 230,135,831,078,400 would take you about eighteen million, two hundred ninety-four thousand and eighteen 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 230135831078400 cubic inches would be around 5106.8 feet tall.
Recreational maths with 230135831078400
- 230135831078400 backwards is 004870138531032
- 230135831078400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230135831078400's digits is 45
- More coming soon!
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The information we have on file for 230135831078400 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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