10122965145123072

Names of 10122965145123072

• Cardinal: 10122965145123072 can be written as Ten quadrillion, one hundred twenty-two trillion, nine hundred sixty-five billion, one hundred forty-five million, one hundred twenty-three thousand and seventy-two.

Scientific notation

• Scientific notation: 1.0122965145123072 × 10¹⁶

Factors of 10122965145123072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 17659

Divisors of 10122965145123072

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 233 256 264 272 352 374 384 408 466 528 544 561 699 704 748 768 816 932 1056 1088 1122 1398 1408 1496 1632 1864 2112 2176 2244 2563 2796 2816 2992 3264 3728 3961 4224 4352 4488 5126 5592 5984 6528 7456 7689 7922 8448 8976 10252 11184 11883 11968 13056 14912 15378 15844 17393 17952 20504 22368 23766 23936 29824 30756 31688 34786 35904 41008 43571 44736 47532 47872 52179 59648 61512 63376 69572 71808 82016 87142 89472 95064 104358 123024 126752 130713 139144 143616 164032 174284 178944 190128 191323 208716 246048 253504 261426 278288 295681 328064 348568 380256 382646 417432 492096 507008 522852 556576 573969 591362 656128 697136 760512 765292 834864 887043 984192 1014016 1045704 1113152 1147938 1182724 1394272 1521024 1530584 1669728 1774086 1968384 2091408 2226304 2295876 2365448 2788544 3042048 3061168 3252491 3339456 3548172 4052569 4182816 4452608 4591752 4730896 5577088 6122336 6504982 6678912 7096344 8105138 8365632 9183504 9461792 9757473 11154176 12157707 12244672 13009964 13357824 14192688 16210276 16731264 18367008 18923584 19514946 24315414 24489344 26019928 28385376 32420552 33462528 36734016 37847168 39029892 44578259 48630828 48978688 52039856 56770752 64841104 68893673 73468032 75694336 78059784 89156518 97261656 104079712 113541504 129682208 133734777 137787346 146936064 156119568 178313036 194523312 206681019 208159424 227083008 259364416 267469554 275574692 302516449 312239136 356626072 389046624 413362038 416318848 518728832 534939108 551149384 605032898 624478272 713252144 757830403 778093248 826724076 832637696 907549347 1037457664 1069878216 1102298768 1210065796 1248956544 1426504288 1515660806 1556186496 1653448152 1815098694 2139756432 2204597536 2273491209 2420131592 2497913088 2853008576 3031321612 3112372992 3306896304 3327680939 3630197388 4279512864 4409195072 4546982418 4840263184 5142779633 5706017152 6062643224 6613792608 6655361878 7260394776 8559025728 8818390144 9093964836 9680526368 9983042817 10285559266 11412034304 12125286448 13227585216 13310723756 14520789552 15428338899 17118051456 17636780288 18187929672 19361052736 19966085634 20571118532 24250572896 26455170432 26621447512 29041579104 30856677798 34236102912 36375859344 38722105472 39932171268 41142237064 48501145792 52910340864 53242895024 56570575963 58083158208 61713355596 70486332617 72751718688 77444210944 79864342536 82284474128 97002291584 106485790048 113141151926 116166316416 123426711192 140972665234 145503437376 159728685072 164568948256 169711727889 194004583168 211458997851 212971580096 226282303852 232332632832 246853422384 281945330468 291006874752 319457370144 329137896512 339423455778 422917995702 425943160192 452564607704 493706844768 563890660936 582013749504 638914740288 658275793024 678846911556 775349658787 845835991404 851886320384 905129215408 987413689536 1127781321872 1198267654489 1277829480576 1316551586048 1357693823112 1550699317574 1691671982808 1810258430816 1974827379072 2255562643744 2326048976361 2396535308978 2555658961152 2715387646224 3101398635148 3383343965616 3594802963467 3620516861632 3949654758144 4511125287488 4652097952722 4793070617956 5430775292448 6202797270296 6766687931232 7189605926934 7241033723264 9022250574976 9304195905444 9586141235912 10861550584896 12405594540592 13180944199379 13533375862464 14379211853868 14482067446528 18044501149952 18608391810888 19172282471824 21723101169792 24811189081184 26361888398758 27066751724928 28758423707736 37216783621776 38344564943648 39542832598137 43446202339584 49622378162368 52723776797516 54133503449856 57516847415472 74433567243552 76689129887296 79085665196274 99244756324736 105447553595032 115033694830944 148867134487104 153378259774592 158171330392548 198489512649472 210895107190064 230067389661888 297734268974208 306756519549184 316342660785096 421790214380128 460134779323776 595468537948416 632685321570192 843580428760256 920269558647552 1265370643140384 1687160857520512 2530741286280768 3374321715041024 5061482572561536 10122965145123072
• Sum of all divisors σ(n): 31255357025850048
• Sum of proper divisors (its aliquot sum) s(n): 21132391880726976
• 10122965145123072 is an abundant number, because the sum of its proper divisors (21132391880726976) is greater than itself. Its abundance is 11009426735603904

Bases of 10122965145123072

• Binary: 100011111101101100100001111101100011000111100100000000₂
• Hexadecimal: 0x23F6C87D8C7900
• Base-36: 2ROAHZK6WAO

Squares and roots of 10122965145123072

• 10122965145123072 squared (10122965145123072²) is 102474423329376578157666026717184
• 10122965145123072 cubed (10122965145123072³) is 1037345015629865687497414537235712677791817269248
• The square root of 10122965145123072 is 100612947.2042394353
• The cube root of 10122965145123072 is 216322.9418908163

Scales and comparisons

• 10,122,965,145,123,072 seconds is equal to 321,878,979 years, 11 weeks, 5 days, 22 hours, 11 minutes, 12 seconds.
• To count from 1 to 10,122,965,145,123,072 would take you about nine hundred sixty-five million, six hundred thirty-six thousand, nine hundred thirty-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 10122965145123072 cubic inches would be around 18026.9 feet tall.

Recreational maths with 10122965145123072

• 10122965145123072 backwards is 27032154156922101
• 10122965145123072 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 10122965145123072's digits is 51
• More coming soon!