972951211211396689728

Names of 972951211211396689728

• Cardinal: 972951211211396689728 can be written as Nine hundred seventy-two quintillion, nine hundred fifty-one quadrillion, two hundred eleven trillion, two hundred eleven billion, three hundred ninety-six million, six hundred eighty-nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.72951211211396689728 × 10²⁰

Factors of 972951211211396689728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 8125

Divisors of 972951211211396689728

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 412 432 576 618 824 864 927 1236 1648 1728 1854 2472 2781 3296 3708 4944 5562 6592 7416 8017 9888 10609 11124 14832 16034 19776 21218 22248 24051 29664 31827 32068 42436 44496 48102 59328 63654 64136 72153 84872 88992 95481 96204 127308 128272 144306 169744 177984 190962 192408 216459 254616 256544 286443 288612 339488 381924 384816 432918 509232 513088 572886 577224 678976 763848 769632 825751 865836 1018464 1092727 1145772 1154448 1527696 1539264 1651502 1731672 2036928 2185454 2291544 2308896 2477253 3055392 3278181 3303004 3463344 4370908 4583088 4617792 4954506 6110784 6556362 6606008 6926688 7431759 8741816 9166176 9834543 9909012 13112724 13212016 13853376 14863518 17483632 18332352 19669086 19818024 22295277 26225448 26424032 29503629 29727036 34967264 39338172 39636048 44590554 52450896 52848064 59007258 59454072 64272289 69934528 78676344 79272096 85052353 89181108 104901792 118014516 118908144 128544578 157352688 158544192 170104706 178362216 192816867 209803584 236029032 237816288 255157059 257089156 314705376 340209412 356724432 385633734 472058064 475632576 510314118 514178312 578450601 629410752 680418824 713448864 765471177 771267468 944116128 1020628236 1028356624 1156901202 1360837648 1426897728 1530942354 1542534936 1735351803 1888232256 2041256472 2056713248 2296413531 2313802404 2721675296 3061884708 3085069872 3470703606 4082512944 4113426496 4592827062 4627604808 5443350592 6123769416 6170139744 6620045767 6941407212 8165025888 8760392359 9185654124 9255209616 12247538832 12340279488 13240091534 13882814424 16330051776 17520784718 18371308248 18510419232 19860137301 24495077664 26281177077 26480183068 27765628848 35041569436 36742616496 37020838464 39720274602 48990155328 52562354154 52960366136 55531257696 59580411903 70083138872 73485232992 78843531231 79440549204 105124708308 105920732272 111062515392 119160823806 140166277744 146970465984 157687062462 158881098408 178741235709 210249416616 211841464544 236530593693 238321647612 280332555488 315374124924 317762196816 357482471418 420498833232 423682929088 473061187386 476643295224 560665110976 630748249848 635524393632 681864714001 714964942836 840997666464 946122374772 953286590448 1261496499696 1271048787264 1363729428002 1429929885672 1681995332928 1892244749544 1906573180896 2045594142003 2522992999392 2727458856004 2859859771344 3784489499088 3813146361792 4091188284006 5045985998784 5454917712008 5719719542688 6136782426009 7568978998176 8182376568012 10909835424016 11439439085376 12273564852018 15137957996352 16364753136024 18410347278027 21819670848032 24547129704036 32729506272048 36820694556054 43639341696064 49094259408072 65459012544096 70232065542103 73641389112108 98188518816144 130918025088192 140464131084206 147282778224216 196377037632288 210696196626309 280928262168412 294565556448432 392754075264576 421392393252618 561856524336824 589131112896864 632088589878927 842784786505236 1123713048673648 1178262225793728 1264177179757854 1685569573010472 1896265769636781 2247426097347296 2528354359515708 3371139146020944 3792531539273562 4494852194694592 5056708719031416 6742278292041888 7585063078547124 10113417438062832 13484556584083776 15170126157094248 20226834876125664 30340252314188496 40453669752251328 60680504628376992 121361009256753984
• Sum of all divisors σ(n): 973190171868876822144
• Sum of proper divisors (its aliquot sum) s(n): 238960657480132416
• 972951211211396689728 is a deficient number, because the sum of its proper divisors (238960657480132416) is less than itself. Its deficiency is 972712250553916557312

Bases of 972951211211396689728

• Binary: 1101001011111001101001000100111010111000101001010110110010111101000000₂
• Hexadecimal: 0x34BE6913AE295B2F40
• Base-36: 5PC0Z7QBRZM1C0

Squares and roots of 972951211211396689728

• 972951211211396689728 squared (972951211211396689728²) is 946634059397723851589186281643956300713984
• 972951211211396689728 cubed (972951211211396689728³) is 921028754664976658587740818833898685711432349303048740518756352
• The square root of 972951211211396689728 is 31192165862.7835058153
• 972951211211396689728 is a perfect cube number. Its cube root is 9909012

Scales and comparisons

• 972,951,211,211,396,689,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 972,951,211,211,396,689,728 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 972951211211396689728 cubic inches would be around 825751 feet tall.

Recreational maths with 972951211211396689728

• 972951211211396689728 backwards is 827986693112112159279
• The number of decimal digits it has is: 21
• The sum of 972951211211396689728's digits is 99
• More coming soon!