972098706506048

Names of 972098706506048

• Cardinal: 972098706506048 can be written as Nine hundred seventy-two trillion, ninety-eight billion, seven hundred six million, five hundred six thousand and forty-eight.

Scientific notation

• Scientific notation: 9.72098706506048 × 10¹⁴

Factors of 972098706506048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1294

Divisors of 972098706506048

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 4 8 11 16 22 32 41 44 53 64 82 88 106 121 164 176 212 242 328 352 424 451 484 583 656 704 848 902 968 1166 1187 1312 1681 1696 1804 1936 2173 2332 2374 2624 3362 3392 3608 3872 4346 4664 4748 4961 6413 6724 7216 7744 8692 9328 9496 9922 12826 13057 13448 14432 17384 18491 18656 18992 19844 23903 25652 26114 26896 28864 34768 36982 37312 37984 39688 47806 48667 51304 52228 53792 62911 69536 73964 75968 79376 89093 95612 97334 102608 104456 107584 125822 139072 143627 147928 158752 178186 191224 194668 203401 205216 208912 251644 262933 287254 295856 317504 356372 382448 389336 406802 410432 417824 503288 525866 535337 574508 591712 692021 712744 764896 778672 813604 835648 980023 1006576 1051732 1070674 1149016 1183424 1384042 1408969 1425488 1529792 1557344 1627208 1960046 1995347 2013152 2103464 2141348 2298032 2579351 2768084 2817938 2850976 3114688 3254416 3920092 3990694 4026304 4206928 4282696 4596064 5158702 5536168 5635876 5701952 5888707 6508832 7612231 7840184 7981388 8413856 8565392 9192128 10317404 10780253 11072336 11271752 11777414 13017664 15224462 15498659 15680368 15962776 16827712 17130784 20634808 21560506 21948817 22144672 22543504 23554828 28372861 30448924 30997318 31360736 31925552 34261568 41269616 43121012 43897634 44289344 45087008 47109656 56745722 57767729 60897848 61994636 62721472 63851104 74675357 82539232 86242024 87795268 90174016 94219312 105753391 113491444 115535458 121795696 123989272 127702208 149350714 165078464 170485249 172484048 175590536 188438624 211506782 226982888 231070916 241436987 243591392 247978544 298701428 312101471 340970498 344968096 351181072 376877248 423013564 453965776 462141832 482873974 487182784 495957088 597402856 624202942 635445019 681940996 689936192 702362144 821428927 846027128 907931552 924283664 965747948 991914176 1163287301 1194805712 1248405884 1270890038 1363881992 1404724288 1642857854 1692054256 1815863104 1848567328 1931495896 2326574602 2368476889 2389611424 2496811768 2541780076 2727763984 3061689637 3285715708 3384108512 3697134656 3862991792 4653149204 4736953778 4779222848 4993623536 5083560152 5455527968 6123379274 6571431416 6768217024 6989895209 7725983584 9035718197 9306298408 9473907556 9987247072 10167120304 10911055936 12246758548 12796160311 13142862832 13979790418 15451967168 18071436394 18612596816 18947815112 19974494144 20334240608 24493517096 25592320622 26053245779 26285725664 27959580836 33678586007 36142872788 37225193632 37895630224 40668481216 48987034192 51184641244 52106491558 52571451328 55919161672 67357172014 72285745576 74450387264 75791260448 97974068384 102369282488 104212983116 111838323344 125529275117 134714344028 144571491152 151582520896 195948136768 204738564976 208425966232 223676646688 251058550234 269428688056 286585703569 289142982304 370464446077 409477129952 416851932464 447353293376 502117100468 538857376112 573171407138 578285964608 740928892154 818954259904 833703864928 1004234200936 1077714752224 1146342814276 1380822026287 1481857784308 1667407729856 2008468401872 2155429504448 2292685628552 2761644052574 2963715568616 4016936803744 4585371257104 5523288105148 5927431137232 8033873607488 9170742514208 11046576210296 11854862274464 15189042289157 18341485028416 22093152420592 23709724548928 30378084578314 44186304841184 60756169156628 88372609682368 121512338313256 243024676626512 486049353253024 972098706506048
• Sum of all divisors σ(n): 2216163851890254
• Sum of proper divisors (its aliquot sum) s(n): 1244065145384206
• 972098706506048 is an abundant number, because the sum of its proper divisors (1244065145384206) is greater than itself. Its abundance is 271966438878158

Bases of 972098706506048

• Binary: 11011101000001111001011110000101101000000101000000₂
• Hexadecimal: 0x3741E5E168140
• Base-36: 9KKVZB0BI8

Squares and roots of 972098706506048

• 972098706506048 squared (972098706506048²) is 944975895190731648203860578304
• 972098706506048 cubed (972098706506048³) is 918609845394305020221699461483997312553582592
• The square root of 972098706506048 is 31178497.5023821183
• The cube root of 972098706506048 is 99061.1704572725

Scales and comparisons

• 972,098,706,506,048 seconds is equal to 30,909,731 years, 50 weeks, 2 days, 9 hours, 54 minutes, 8 seconds.
• To count from 1 to 972,098,706,506,048 would take you about seventy-seven million, two hundred seventy-four thousand, three hundred twenty-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 972098706506048 cubic inches would be around 8255.1 feet tall.

Recreational maths with 972098706506048

• 972098706506048 backwards is 840605607890279
• The number of decimal digits it has is: 15
• The sum of 972098706506048's digits is 71
• More coming soon!