972138655904768

Names of 972138655904768

• Cardinal: 972138655904768 can be written as Nine hundred seventy-two trillion, one hundred thirty-eight billion, six hundred fifty-five million, nine hundred four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 9.72138655904768 × 10¹⁴

Factors of 972138655904768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 89

Divisors of 972138655904768

• Number of divisors d(n): 462
• Complete list of divisors:
  1 2 4 8 11 16 22 23 32 44 46 53 64 88 92 106 121 128 176 184 212 242 253 256 352 368 424 484 506 512 529 583 704 736 848 968 1012 1024 1058 1166 1219 1408 1472 1696 1936 2024 2116 2332 2438 2783 2816 2944 3392 3872 4048 4232 4664 4876 5566 5632 5819 5888 6413 6784 7744 8096 8464 9328 9752 11132 11264 11638 11776 12167 12826 13409 13568 15488 16192 16928 18656 19504 22264 23276 23552 24334 25652 26818 27136 28037 30976 32384 33856 37312 39008 44528 46552 48668 51304 53636 54272 56074 61952 64009 64768 67712 74624 78016 89056 93104 97336 102608 107272 112148 123904 128018 129536 133837 135424 147499 149248 156032 178112 186208 194672 205216 214544 224296 256036 259072 267674 270848 279841 294998 298496 308407 312064 356224 372416 389344 410432 429088 448592 512072 535348 541696 559682 589996 596992 616814 624128 644851 712448 744832 778688 820864 858176 897184 1024144 1070696 1119364 1179992 1233628 1248256 1289702 1424896 1472207 1489664 1557376 1641728 1716352 1794368 2048288 2141392 2238728 2359984 2467256 2579404 2849792 2944414 2979328 3078251 3114752 3283456 3392477 3432704 3588736 4096576 4282784 4477456 4719968 4934512 5158808 5888828 5958656 6156502 6229504 6436343 6566912 6784954 6865408 7093361 7177472 8193152 8565568 8954912 9439936 9869024 10317616 11777656 12313004 12459008 12872686 13569908 13730816 14186722 14354944 14831573 16386304 17131136 17909824 18879872 19738048 20635232 23555312 24626008 25745372 27139816 28373444 28709888 29663146 32772608 33860761 34262272 35819648 37759744 39476096 41270464 47110624 49252016 51490744 54279632 56746888 59326292 65545216 67721522 68524544 70799773 71639296 75519488 78026971 78952192 82540928 94221248 98504032 102981488 108559264 113493776 118652584 135443044 137049088 141599546 143278592 148035889 151038976 156053942 157904384 163147303 165081856 188442496 197008064 205962976 217118528 226987552 237305168 270886088 283199092 286557184 296071778 312107884 315808768 326294606 330163712 341126179 376884992 394016128 411925952 434237056 453975104 474610336 541772176 566398184 592143556 624215768 652589212 660327424 682252358 753769984 778797503 788032256 823851904 868474112 907950208 949220672 1083544352 1132796368 1184287112 1248431536 1305178424 1364504716 1507539968 1557595006 1576064512 1628394779 1647703808 1736948224 1794620333 1815900416 1898441344 2167088704 2265592736 2368574224 2496863072 2610356848 2729009432 3115190012 3152129024 3256789558 3295407616 3473896448 3589240666 3631800832 3752387969 3796882688 4334177408 4531185472 4737148448 4993726144 5220713696 5458018864 6230380024 6513579116 6590815232 7178481332 7263601664 7504775938 7593765376 7845902117 8668354816 9062370944 9474296896 9987452288 10441427392 10916037728 12460760048 13027158232 14356962664 15009551876 15187530752 15691804234 17336709632 17912342569 18124741888 18948593792 19974904576 20882854784 21832075456 24921520096 26054316464 28713925328 30019103752 31383608468 34673419264 35824685138 36249483776 37897187584 39949809152 41276267659 41765709568 43664150912 49843040192 52108632928 57427850656 60038207504 62767216936 71649370276 72498967552 75794375168 79899618304 82552535318 83531419136 86304923287 87328301824 99686080384 104217265856 114855701312 120076415008 125534433872 143298740552 151588750336 165105070636 167062838272 172609846574 174656603648 199372160768 208434531712 229711402624 240152830016 251068867744 286597481104 330210141272 345219693148 349313207296 398744321536 416869063424 459422805248 480305660032 502137735488 573194962208 660420282544 690439386296 797488643072 833738126848 918845610496 949354156157 960611320064 1004275470976 1146389924416 1320840565088 1380878772592 1667476253696 1837691220992 1898708312314 1921222640128 2008550941952 2292779848832 2641681130176 2761757545184 3797416624628 3842445280256 4017101883904 4585559697664 5283362260352 5523515090368 7594833249256 8034203767808 9171119395328 10566724520704 11047030180736 15189666498512 18342238790656 21133449041408 22094060361472 30379332997024 42266898082816 44188120722944 60758665994048 88376241445888 121517331988096 243034663976192 486069327952384 972138655904768
• Sum of all divisors σ(n): 2275282961588322
• Sum of proper divisors (its aliquot sum) s(n): 1303144305683554
• 972138655904768 is an abundant number, because the sum of its proper divisors (1303144305683554) is greater than itself. Its abundance is 331005649778786

Bases of 972138655904768

• Binary: 11011101000010011110101011010000011111010000000000₂
• Hexadecimal: 0x37427AB41F400
• Base-36: 9KLEBZUKU8

Squares and roots of 972138655904768

• 972138655904768 squared (972138655904768²) is 945053566304328919032685133824
• 972138655904768 cubed (972138655904768³) is 918723103705097861104073494449522829879672832
• The square root of 972138655904768 is 31179138.1520523751
• The cube root of 972138655904768 is 99062.5274456659

Scales and comparisons

• 972,138,655,904,768 seconds is equal to 30,911,002 years, 12 weeks, 1 day, 17 hours, 6 minutes, 8 seconds.
• To count from 1 to 972,138,655,904,768 would take you about seventy-seven million, two hundred seventy-seven thousand, five 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 972138655904768 cubic inches would be around 8255.2 feet tall.

Recreational maths with 972138655904768

• 972138655904768 backwards is 867409556831279
• The number of decimal digits it has is: 15
• The sum of 972138655904768's digits is 80
• More coming soon!