230724733366829520

Names of 230724733366829520

• Cardinal: 230724733366829520 can be written as Two hundred thirty quadrillion, seven hundred twenty-four trillion, seven hundred thirty-three billion, three hundred sixty-six million, eight hundred twenty-nine thousand, five hundred twenty.

Scientific notation

• Scientific notation: 2.3072473336682952 × 10¹⁷

Factors of 230724733366829520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 90593628

Divisors of 230724733366829520

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 49 52 54 56 60 63 65 70 72 78 80 81 84 90 91 98 104 105 108 112 117 120 126 130 135 140 144 147 156 162 168 180 182 189 195 196 208 210 216 234 240 245 252 260 270 273 280 294 312 315 324 336 351 360 364 378 390 392 405 420 432 441 455 468 490 504 520 540 546 560 567 585 588 617 624 630 637 648 702 720 728 735 756 780 784 810 819 840 882 910 936 945 980 1008 1040 1053 1080 1092 1134 1170 1176 1234 1260 1274 1296 1323 1365 1404 1456 1470 1512 1560 1620 1638 1680 1755 1764 1820 1851 1872 1890 1911 1960 2106 2160 2184 2205 2268 2340 2352 2457 2468 2520 2548 2646 2730 2808 2835 2940 3024 3085 3120 3185 3240 3276 3510 3528 3640 3702 3780 3822 3920 3969 4095 4212 4319 4368 4410 4536 4680 4914 4936 5040 5096 5265 5292 5460 5553 5616 5670 5733 5880 6170 6370 6480 6552 6615 7020 7056 7280 7371 7404 7560 7644 7938 8021 8190 8424 8638 8820 9072 9255 9360 9555 9828 9872 10192 10530 10584 10920 11106 11340 11466 11760 12285 12340 12740 12957 13104 13230 14040 14742 14808 15120 15288 15876 16042 16380 16659 16848 17199 17276 17640 18510 19110 19656 19845 21060 21168 21595 21840 22212 22680 22932 24063 24570 24680 25480 25914 26460 27765 28080 28665 29484 29616 30233 30576 31752 32084 32760 33318 34398 34552 35280 36855 37020 38220 38871 39312 39690 40105 42120 43190 44424 45360 45864 48126 49140 49360 49977 50960 51597 51828 52920 55530 56147 57330 58968 60466 63504 64168 64785 65520 66636 68796 69104 72189 73710 74040 76440 77742 79380 80210 83295 84240 85995 86380 88848 90699 91728 96252 98280 99954 103194 103656 105840 111060 112294 114660 116613 117936 120315 120932 128336 129570 133272 137592 144378 147420 148080 151165 152880 155484 158760 160420 166590 168441 171990 172760 181398 192504 194355 196560 199908 206388 207312 216567 222120 224588 229320 233226 240630 241864 249885 257985 259140 266544 272097 275184 280735 288756 294840 302330 310968 317520 320840 333180 336882 343980 345520 349839 360945 362796 385008 388710 393029 399816 412776 433134 444240 449176 453495 458640 466452 481260 483728 499770 505323 515970 518280 544194 561470 577512 583065 589680 604660 621936 641680 649701 666360 673764 687960 699678 721890 725592 777420 786058 799632 816291 825552 842205 866268 898352 906990 932904 962520 999540 1010646 1031940 1036560 1082835 1088388 1122940 1155024 1166130 1179087 1209320 1299402 1332720 1347528 1360485 1375920 1399356 1443780 1451184 1515969 1554840 1572116 1632582 1684410 1732536 1749195 1813980 1865808 1925040 1965145 1999080 2021292 2063880 2165670 2176776 2245880 2332260 2358174 2418640 2448873 2526615 2598804 2695056 2720970 2798712 2887560 3031938 3109680 3144232 3248505 3265164 3368820 3465072 3498390 3537261 3627960 3930290 3998160 4042584 4081455 4127760 4331340 4353552 4491760 4547907 4664520 4716348 4897746 5053230 5197608 5441940 5597424 5775120 5895435 6063876 6288464 6497010 6530328 6737640 6996780 7074522 7255920 7579845 7860580 8085168 8162910 8662680 9095814 9329040 9432696 9795492 10106460 10395216 10611783 10883880 11790870 12127752 12244365 12994020 13060656 13475280 13993560 14149044 15159690 15721160 16325820 17325360 17686305 18191628 18865392 19590984 20212920 21223566 21767760 22739535 23581740 24255504 24488730 25988040 27987120 28298088 30319380 31442320 31835349 32651640 35372610 36383256 39181968 40425840 42447132 45479070 47163480 48977460 51976080 53058915 56596176 60638760 63670698 65303280 70745220 72766512 84894264 90592981 90958140 94326960 97954920 106117830 121277520 127341396 141490440 159176745 169788528 181185962 181916280 195909840 212235660 254682792 271778943 282980880 318353490 362371924 363832560 424471320 452964905 509365584 543557886 634150867 636706980 724743848 815336829 848942640 905929810 1087115772 1177708753 1268301734 1273413960 1358894715 1449487696 1630673658 1811859620 1902452601 2174231544 2355417506 2446010487 2536603468 2546827920 2717789430 3170754335 3261347316 3533126259 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9390506038536 9588361109040 10061256469860 10173048208414 10387391201460 10564319293353 10684173807216 10899694509015 10955590378292 11626340809616 11738132548170 12073507763832 12464869441752 13079633410818 13355217259020 13415008626480 13694487972865 13849854935280 14085759057804 14382541663560 14532926012020 15091884704790 15259572312621 15581086802190 15650843397560 16433385567438 17439511214424 17607198822255 17806956345360 18110261645748 18697304162628 18781012077072 19619450116227 20122512939720 20346096416828 20774782402920 21128638586706 21799389018030 21911180756584 22637827057185 23371630203285 23476265096340 24147015527664 24650078351157 24929738883504 25432620521035 26159266821636 26710434518040 27388975945730 28171518115608 28765083327120 29065852024040 30183769409580 30519144625242 31162173604380 31301686795120 31692957880059 32699083527045 32866771134876 34879022428848 35214397644510 35605668729449 36220523291496 37394608325256 39238900232454 40245025879440 40692192833656 41083463918595 41549564805840 42257277173412 43598778036060 43822361513168 45275654114370 45778716937863 46743260406570 46952530192680 49300156702314 50865241042070 52318533643272 52821596466765 53420869036080 54777951891460 56343036231216 58131704048080 58858350348681 60367538819160 61038289250484 62324347208760 63385915760118 65398167054090 65733542269752 70428795289020 71211337458898 72441046582992 73950235053471 74789216650512 76297861563105 78477800464908 81384385667312 82166927837190 84514554346824 87197556072120 90551308228740 91557433875726 93486520813140 93905060385360 98097250581135 98600313404628 101730482084140 104637067286544 105643192933530 106817006188347 109555903782920 117716700697362 120735077638320 122076578500968 123250391755785 124648694417520 126771831520236 130796334108180 131467084539504 137336150813589 140857590578040 142422674917796 147900470106942 152595723126210 156955600929816 158464789400295 164333855674380 169029108693648 174395112144240 178028343647245 181102616457480 183114867751452 186973041626280 196194501162270 197200626809256 203460964168280 211286385867060 213634012376694 219111807565840 221850705160413 228893584689315 235433401394724 244153157001936 246500783511570 253543663040472 261592668216360 274672301627178 281715181156080 284845349835592 294291751743405 295800940213884 305191446252420 313911201859632 316929578800590 320451018565041 328667711348760 356056687294490 362205232914960 366229735502904 369751175267355 373946083252560 392389002324540 394401253618512 406921928336560 412008452440767 422572771734120 427268024753388 443701410320826 457787169378630 470866802789448 493001567023140 507087326080944 523185336432720 534085030941735 549344603254356 569690699671184 588583503486810 591601880427768 610382892504840 633859157601180 640902037130082 657335422697520 686680754067945 712113374588980 732459471005808 739502350534710 784778004649080 824016904881534 845145543468240 854536049506776 887402820641652 915574338757260 941733605578896 961353055695123 986003134046280 1068170061883470 1098689206508712 1109253525802065 1177167006973620 1183203760855536 1220765785009680 1267718315202360 1281804074260164 1373361508135890 1424226749177960 1479004701069420 1569556009298160 1602255092825205 1648033809763068 1709072099013552 1774805641283304 1831148677514520 1922706111390246 1972006268092560 2060042262203835 2136340123766940 2197378413017424 2218507051604130 2354334013947240 2535436630404720 2563608148520328 2746723016271780 2848453498355920 2884059167085369 2958009402138840 3204510185650410 3296067619526136 3549611282566608 3662297355029040 3845412222780492 4120084524407670 4272680247533880 4437014103208260 4708668027894480 4806765278475615 5127216297040656 5493446032543560 5768118334170738 5916018804277680 6409020371300820 6592135239052272 7690824445560984 8240169048815340 8545360495067760 8874028206416520 9613530556951230 10986892065087120 11536236668341476 12818040742601640 14420295835426845 15381648891121968 16480338097630680 17748056412833040 19227061113902460 23072473336682952 25636081485203280 28840591670853690 32960676195261360 38454122227804920 46144946673365904 57681183341707380 76908244455609840 115362366683414760 230724733366829520
• Sum of all divisors σ(n): 1005505004122830288
• Sum of proper divisors (its aliquot sum) s(n): 774780270756000768
• 230724733366829520 is an abundant number, because the sum of its proper divisors (774780270756000768) is greater than itself. Its abundance is 544055537389171248

Bases of 230724733366829520

• Binary: 1100110011101100101110110000101101001110100000000111010000₂
• Hexadecimal: 0x333B2EC2D3A01D0
• Base-36: 1R3T3B92J100

Squares and roots of 230724733366829520

• 230724733366829520 squared (230724733366829520²) is 53233902587194575251600216743430400
• 230724733366829520 cubed (230724733366829520³) is 12282377980506244527761212017018495283971736785408000
• The square root of 230724733366829520 is 480338144.8176164991
• The cube root of 230724733366829520 is 613335.4271911949

Scales and comparisons

• 230,724,733,366,829,520 seconds is equal to 7,336,332,842 years, 31 weeks, 3 days, 16 hours, 12 minutes.
• To count from 1 to 230,724,733,366,829,520 would take you about twenty-two billion, eight million, nine hundred ninety-eight thousand, five hundred twenty-seven 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 230724733366829520 cubic inches would be around 51111.3 feet tall.

Recreational maths with 230724733366829520

• 230724733366829520 backwards is 025928663337427032
• 230724733366829520 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 230724733366829520's digits is 72
• More coming soon!