100996816128

Names of 100996816128

• Cardinal: 100996816128 can be written as One hundred billion, nine hundred ninety-six million, eight hundred sixteen thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.00996816128 × 10¹¹

Factors of 100996816128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 135

Divisors of 100996816128

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 29 32 34 39 48 51 52 58 64 68 71 78 87 96 102 104 116 128 136 142 156 174 192 204 208 213 221 232 256 272 284 289 312 348 377 384 408 416 426 442 464 493 544 568 578 624 663 696 754 768 816 832 852 867 884 923 928 986 1088 1131 1136 1156 1207 1248 1326 1392 1479 1508 1632 1664 1704 1734 1768 1846 1856 1972 2059 2176 2262 2272 2312 2414 2496 2652 2769 2784 2958 3016 3264 3328 3408 3468 3536 3621 3692 3712 3757 3944 4118 4352 4524 4544 4624 4828 4913 4992 5304 5538 5568 5916 6032 6177 6409 6528 6816 6936 7072 7242 7384 7424 7514 7888 8236 8381 9048 9088 9248 9656 9826 9984 10608 11076 11136 11271 11832 12064 12354 12818 13056 13632 13872 14144 14484 14739 14768 15028 15691 15776 16472 16762 18096 18176 18496 19227 19312 19652 20519 21216 22152 22272 22542 23664 24128 24708 25143 25636 26767 27264 27744 28288 28968 29478 29536 30056 31382 31552 32944 33524 35003 36192 36992 38454 38624 39304 41038 42432 44304 45084 47073 47328 48256 49416 50286 51272 53534 54528 55488 56576 57936 58956 59072 60112 61557 62764 63104 63869 65888 67048 70006 72384 73984 76908 77248 78608 80301 82076 84864 88608 90168 94146 94656 96512 98832 100572 102544 105009 107068 108953 110976 115872 117912 118144 120224 123114 125528 126208 127738 131776 134096 140012 142477 144768 153816 154496 157216 160602 164152 169728 177216 180336 188292 189312 191607 197664 201144 205088 210018 214136 217906 221952 231744 235824 236288 240448 246228 251056 255476 263552 266747 268192 280024 284954 289536 307632 308992 314432 321204 326859 328304 348823 354432 360672 376584 378624 383214 395328 402288 410176 420036 427431 428272 435812 455039 463488 471648 480896 492456 502112 510952 527104 533494 536384 560048 569908 595051 615264 628864 642408 653718 656608 697646 708864 721344 753168 766428 790656 800241 804576 820352 840072 854862 856544 871624 910078 926976 943296 961792 984912 1004224 1021904 1046469 1066988 1072768 1120096 1139816 1190102 1230528 1257728 1284816 1307436 1313216 1365117 1395292 1442688 1506336 1532856 1581312 1600482 1609152 1640704 1680144 1709724 1713088 1743248 1785153 1820156 1852201 1886592 1969824 2008448 2043808 2092938 2133976 2145536 2240192 2279632 2380204 2461056 2569632 2614872 2626432 2730234 2790584 2885376 3012672 3065712 3200964 3218304 3360288 3419448 3426176 3486496 3570306 3640312 3704402 3773184 3939648 4016896 4087616 4185876 4267952 4480384 4534699 4559264 4760408 4922112 5139264 5229744 5252864 5460468 5556603 5581168 6025344 6131424 6401928 6436608 6720576 6838896 6852352 6972992 7140612 7280624 7408804 7735663 7879296 8175232 8371752 8535904 8960768 9069398 9118528 9520816 10115867 10278528 10459488 10920936 11113206 11162336 12050688 12262848 12803856 13441152 13604097 13677792 13945984 14281224 14561248 14817608 15471326 15758592 16350464 16743504 17071808 18138796 18237056 19041632 20231734 20557056 20918976 21841872 22226412 22324672 23206989 24525696 25607712 26882304 27208194 27355584 27891968 28562448 29122496 29635216 30347601 30942652 33487008 34143616 36277592 36474112 38083264 40463468 41837952 43683744 44452824 44649344 46413978 49051392 51215424 54416388 54711168 57124896 58244992 59270432 60695202 61885304 66974016 68287232 72555184 76166528 80926936 83675904 87367488 88905648 89298688 92827956 102430848 108832776 109422336 114249792 116489984 118540864 121390404 123770608 131506271 133948032 145110368 152333056 161853872 174734976 177811296 185655912 204861696 217665552 228499584 237081728 242780808 247541216 263012542 267896064 290220736 323707744 349469952 355622592 371311824 394518813 435331104 456999168 474163456 485561616 495082432 526025084 580441472 647415488 711245184 742623648 789037626 870662208 971123232 990164864 1052050168 1160882944 1294830976 1422490368 1485247296 1578075252 1741324416 1942246464 1980329728 2104100336 2589661952 2970494592 3156150504 3482648832 3884492928 4208200672 5940989184 6312301008 7768985856 8416401344 12624602016 16832802688 25249204032 33665605376 50498408064 100996816128
• Sum of all divisors σ(n): 322651123200
• Sum of proper divisors (its aliquot sum) s(n): 221654307072
• 100996816128 is an abundant number, because the sum of its proper divisors (221654307072) is greater than itself. Its abundance is 120657490944

Bases of 100996816128

• Binary: 1011110000011111000010001110100000000₂
• Hexadecimal: 0x1783E11D00
• Base-36: 1AEAWA2O

Squares and roots of 100996816128

• 100996816128 squared (100996816128²) is 10200356867993040912384
• 100996816128 cubed (100996816128³) is 1030203567036675121411628206129152
• The square root of 100996816128 is 317799.9624417851
• The cube root of 100996816128 is 4656.9605722329

Scales and comparisons

• 100,996,816,128 seconds is equal to 3,211 years, 20 weeks, 15 hours, 8 minutes, 48 seconds.
• To count from 1 to 100,996,816,128 would take you about six thousand, four hundred twenty-two 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 100996816128 cubic inches would be around 388.1 feet tall.

Recreational maths with 100996816128

• 100996816128 backwards is 821618699001
• 100996816128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 100996816128's digits is 51
• More coming soon!