97664328006953328
97,664,328,006,953,328 is an even composite number composed of seven prime numbers multiplied together.
97664328006953328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 97664328006953328:
24 × 34 × 29 × 31 × 592 × 1272 × 1493
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 29 × 31 × 59 × 59 × 127 × 127 × 1493)See below for interesting mathematical facts about the number 97664328006953328 from the Numbermatics database.
Names of 97664328006953328
- Cardinal: 97664328006953328 can be written as Ninety-seven quadrillion, six hundred sixty-four trillion, three hundred twenty-eight billion, six million, nine hundred fifty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 9.7664328006953328 × 1016
Factors of 97664328006953328
Divisors of 97664328006953328
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 59 62 72 81 87 93 108 116 118 124 127 144 162 174 177 186 216 232 236 248 254 261 279 324 348 354 372 381 432 464 472 496 508 522 531 558 648 696 708 744 762 783 837 899 944 1016 1044 1062 1116 1143 1296 1392 1416 1488 1493 1524 1566 1593 1674 1711 1798 1829 2032 2088 2124 2232 2286 2349 2511 2697 2832 2986 3048 3132 3186 3348 3422 3429 3481 3596 3658 3683 3937 4176 4248 4464 4479 4572 4698 4779 5022 5133 5394 5487 5972 6096 6264 6372 6696 6844 6858 6962 7192 7316 7366 7493 7874 8091 8496 8958 9144 9396 9558 10044 10266 10287 10443 10788 10974 11049 11811 11944 12528 12744 13392 13437 13688 13716 13924 14384 14632 14732 14986 15399 15748 16129 16182 16461 17916 18288 18792 19116 20088 20532 20574 20886 21576 21948 22098 22479 23622 23888 24273 25488 26874 27376 27432 27848 29264 29464 29972 30798 31329 31496 32258 32364 32922 33147 35433 35832 37584 38232 40176 40311 41064 41148 41772 43152 43297 43896 44196 44958 46197 46283 47244 48387 48546 49383 53041 53748 54864 55696 58928 59944 61596 62658 62992 64516 64728 65844 66294 67437 70866 71664 72819 76464 80622 82128 82296 83544 86594 87792 88087 88392 89916 92394 92566 93987 94488 96774 97092 98766 99441 100949 106082 106299 107496 107911 114173 119888 120933 123192 125316 129032 129456 129891 131688 132588 134874 138591 138849 141732 145161 145638 148149 159123 161244 164592 167088 173188 176174 176784 179832 184788 185132 187974 188976 189611 193548 194184 197532 198882 201898 202311 212164 212598 214992 215822 217297 228346 232283 241866 246384 250632 258064 259782 263376 264261 265176 269748 277182 277698 281961 283464 290322 291276 296298 298323 302847 318246 318897 322488 323733 342519 346376 352348 359664 369576 370264 375948 379222 387096 388368 389673 395064 397764 403796 404622 416547 424328 425196 431644 434594 435483 442087 456692 464566 467741 477369 483732 499999 501264 519564 528522 530352 539496 554364 555396 563922 566928 568833 580644 582552 592596 596646 605694 606933 636492 637794 644976 647466 651891 685038 692752 696849 704696 739152 740528 751896 758444 774192 779346 790128 792783 795528 807592 809244 833094 848656 850392 863288 869188 870966 884174 908541 913384 929132 935482 951611 954738 967464 971199 999998 1027557 1039128 1057044 1078992 1108728 1110792 1127844 1137666 1161288 1165104 1169019 1185192 1193292 1211388 1213866 1249641 1272984 1275588 1294932 1303782 1306449 1326261 1342207 1370076 1393698 1403223 1409392 1432107 1499997 1503792 1516888 1558692 1585566 1591056 1615184 1618488 1666188 1700784 1706499 1726576 1738376 1741932 1768348 1817082 1826768 1858264 1870964 1903222 1909476 1934928 1942398 1955673 1999996 2055114 2078256 2090547 2114088 2217456 2221584 2255688 2275332 2322576 2338038 2370384 2378349 2386584 2422776 2427732 2499282 2545968 2551176 2554523 2589864 2607564 2612898 2652522 2684414 2725623 2730697 2740152 2787396 2806446 2854833 2864214 2913597 2999994 3033776 3082671 3117384 3129419 3171132 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527538880404 528520942956 543086480754 552450040767 554362891272 563920872156 584508330981 593372266009 605692788612 613766256336 659230423472 670596465256 672800049648 689077470204 703385173872 704694590608 724115307672 736600054356 741634226406 751894496208 754421023413 756900055854 779344441308 792781414434 807590384816 814629721131 855406514736 905045157648 908539182918 918769960272 920649384504 967462065072 982133405808 988845635208 1005894697884 1009200074472 1033616205306 1039125921744 1055077760808 1057041885912 1086172961508 1104900081534 1108725782544 1112451339609 1127841744312 1169016661962 1186744532018 1189172121651 1211385577224 1277258945477 1341192930512 1362808774377 1378154940408 1448230615344 1473200108712 1483268452812 1508842046826 1513800111708 1550424307959 1558688882616 1585562828868 1629259442262 1657350122301 1753524992943 1780116798027 1817078365836 1841298769008 1977691270416 2011789395768 2018400148944 2067232410612 2110155521616 2114083771824 2172345923016 2209800163068 2224902679218 2255683488624 2263263070239 2338033323924 2373489064036 2378344243302 2422771154448 2430912186553 2554517890954 2598561302867 2725617548754 2756309880816 2946400217424 2966536905624 3017684093652 3027600223416 3100848615918 3117377765232 3171125657736 3258518884524 3314700244602 3337354018827 3507049985886 3560233596054 3567516364953 3634156731672 3831776836431 4023578791536 4088426323131 4134464821224 4344691846032 4419600326136 4449805358436 4526526140478 4676066647848 4746978128072 4756688486604 4861824373106 5109035781908 5197122605734 5340350394081 5451235097508 5933073811248 6035368187304 6055200446832 6201697231836 6342251315472 6517037769048 6629400489204 6674708037654 6789789210717 7014099971772 7120467192108 7135032729906 7268313463344 7292736559659 7663553672862 7795683908601 8176852646262 8268929642448 8839200652272 8899610716872 9053052280956 9352133295696 9493956256144 9513376973208 9723648746212 10218071563816 10394245211468 10680700788162 10902470195016 11495330509293 12070736374608 12403394463672 13034075538096 13258800978408 13349416075308 13579578421434 14028199943544 14240934384216 14270065459812 14585473119318 15327107345724 15591367817202 16021051182243 16353705292524 17799221433744 18106104561912 19026753946416 19447297492424 20436143127632 20788490422936 21361401576324 21804940390032 21878209678977 22990661018586 23387051725803 24806788927344 26517601956816 26698832150616 27159156842868 28056399887088 28481868768432 28540130919624 29170946238636 30654214691448 31182735634404 32042102364486 32707410585048 34485991527879 36212209123824 38894594984848 41576980845872 42722803152648 43756419357954 45981322037172 46774103451606 48063153546729 53397664301232 54318313685736 57080261839248 58341892477272 61308429382896 62365471268808 64084204728972 65414821170096 65634629036931 68971983055758 70161155177409 75358277783143 85445606305296 87512838715908 91962644074344 93548206903212 96126307093458 103457974583637 108636627371472 116683784954544 124730942537616 128168409457944 131269258073862 137943966111516 140322310354818 150716555566286 175025677431816 183925288148688 187096413806424 192252614186916 196903887110793 206915949167274 210483465532227 226074833349429 256336818915888 262538516147724 275887932223032 280644620709636 301433111132572 350051354863632 374192827612848 384505228373832 393807774221586 413831898334548 420966931064454 452149666698858 525077032295448 551775864446064 561289241419272 602866222265144 678224500048287 769010456747664 787615548443172 827663796669096 841933862128908 904299333397716 1050154064590896 1122578482838544 1205732444530288 1356449000096574 1575231096886344 1655327593338192 1683867724257816 1808598666795432 2034673500144861 2712898000193148 3150462193772688 3367735448515632 3617197333590864 4069347000289722 5425796000386296 6104020500434583 8138694000579444 10851592000772592 12208041000869166 16277388001158888 24416082001738332 32554776002317776 48832164003476664 97664328006953328
- Sum of all divisors σ(n): 309695736913706880
- Sum of proper divisors (its aliquot sum) s(n): 212031408906753552
- 97664328006953328 is an abundant number, because the sum of its proper divisors (212031408906753552) is greater than itself. Its abundance is 114367080899800224
Bases of 97664328006953328
- Binary: 1010110101111100100110000010110100001010011101001011100002
- Hexadecimal: 0x15AF9305A14E970
- Base-36: QPN44WD4700
Squares and roots of 97664328006953328
- 97664328006953328 squared (976643280069533282) is 9538320965049768213015516770275584
- 97664328006953328 cubed (976643280069533283) is 931553707366220173319188873650766043360778785943552
-
The
square root of 97664328006953328 is 312512924.5438551909 -
The
cube root of 97664328006953328 is 460516.6344229719
Scales and comparisons
How big is 97664328006953328?- 97,664,328,006,953,328 seconds is equal to 3,105,423,535 years, 1 week, 3 hours, 28 minutes, 48 seconds.
-
To count from 1 to 97,664,328,006,953,328 would take you about nine billion, three hundred sixteen million, two hundred seventy thousand, six hundred five 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 97664328006953328 cubic inches would be around 38376.4 feet tall.
Recreational maths with 97664328006953328
- 97664328006953328 backwards is 82335960082346679
- 97664328006953328 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 97664328006953328's digits is 81
- More coming soon!
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"Number 97664328006953328 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 97664328006953328 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/97664328006953328/
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Numbermatics. 2024. "Number 97664328006953328 - Facts about the integer". https://numbermatics.com/n/97664328006953328/
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