46872314496216

Names of 46872314496216

• Cardinal: 46872314496216 can be written as Forty-six trillion, eight hundred seventy-two billion, three hundred fourteen million, four hundred ninety-six thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.6872314496216 × 10¹³

Factors of 46872314496216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 449

Divisors of 46872314496216

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 433 486 594 648 729 792 866 891 972 1188 1299 1458 1732 1782 1944 2187 2376 2598 2673 2916 3464 3564 3897 4374 4763 5196 5346 5832 6561 7128 7794 8019 8748 9526 10392 10692 11691 13122 14289 15588 16038 17496 19052 21384 23382 24057 26244 28578 31176 32076 35073 38104 42867 46764 48114 52488 57156 64152 70146 72171 85734 93528 96228 105219 114312 128601 140292 144342 171468 187489 192456 210438 257202 280584 288684 315657 342936 374978 385803 420876 514404 562467 577368 631314 749956 771606 841752 946971 1028808 1124934 1157409 1262628 1499912 1543212 1687401 1893942 2062379 2249868 2314818 2525256 2840913 3086424 3374802 3472227 3787884 4124758 4499736 4629636 5062203 5681826 6187137 6749604 6944454 7575768 8249516 9259272 10124406 10416681 11363652 12374274 13499208 13888908 15186609 16499032 18561411 20248812 20833362 22727304 24748548 27777816 30373218 31250043 37122822 40497624 41666724 45559827 49497096 55684233 60746436 62500086 74245644 81182737 83333448 91119654 111368466 121492872 125000172 136679481 148491288 162365474 167052699 182239308 222736932 243548211 250000344 273358962 324730948 334105398 364478616 410038443 445473864 487096422 501158097 546717924 649461896 668210796 730644633 820076886 893010107 974192844 1002316194 1093435848 1230115329 1336421592 1461289266 1503474291 1640153772 1786020214 1948385688 2004632388 2191933899 2460230658 2679030321 2922578532 3006948582 3280307544 3572040428 4009264776 4383867798 4510422873 4920461316 5358060642 5845157064 6013897164 6575801697 7144080856 8037090963 8767735596 9020845746 9840922632 10716121284 12027794328 13151603394 13531268619 16074181926 17535471192 18041691492 19727405091 21432242568 24111272889 26303206788 27062537238 32148363852 36083382984 39454810182 48222545778 52606413576 54125074476 59182215273 64296727704 72333818667 78909620364 96445091556 108250148952 118364430546 144667637334 157819240728 177546645819 192890183112 217001456001 236728861092 289335274668 355093291638 434002912002 473457722184 532639937457 578670549336 651004368003 710186583276 868005824004 1065279874914 1302008736006 1420373166552 1736011648008 1953013104009 2130559749828 2604017472012 3906026208018 4261119499656 5208034944024 5859039312027 7812052416036 11718078624054 15624104832072 23436157248108 46872314496216
• Sum of all divisors σ(n): 144138359710800
• Sum of proper divisors (its aliquot sum) s(n): 97266045214584
• 46872314496216 is an abundant number, because the sum of its proper divisors (97266045214584) is greater than itself. Its abundance is 50393730718368

Bases of 46872314496216

• Binary: 1010101010000101001111101001111100010011011000₂
• Hexadecimal: 0x2AA14FA7C4D8
• Base-36: GM4UDUDI0

Squares and roots of 46872314496216

• 46872314496216 squared (46872314496216²) is 2197013866232180573878318656
• 46872314496216 cubed (46872314496216³) is 102979124890582197409792465483693754205696
• The square root of 46872314496216 is 6846335.8445387413
• The cube root of 46872314496216 is 36055.5506815703

Scales and comparisons

• 46,872,314,496,216 seconds is equal to 1,490,394 years, 32 weeks, 3 minutes, 36 seconds.
• To count from 1 to 46,872,314,496,216 would take you about three million, seven hundred twenty-five thousand, nine hundred eighty-six 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 46872314496216 cubic inches would be around 3004.6 feet tall.

Recreational maths with 46872314496216

• 46872314496216 backwards is 61269441327864
• The number of decimal digits it has is: 14
• The sum of 46872314496216's digits is 63
• More coming soon!