464960888368128

Names of 464960888368128

• Cardinal: 464960888368128 can be written as Four hundred sixty-four trillion, nine hundred sixty billion, eight hundred eighty-eight million, three hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.64960888368128 × 10¹⁴

Factors of 464960888368128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1606

Divisors of 464960888368128

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1601 1728 1944 2187 2304 2592 2916 3072 3202 3456 3888 4374 4608 4803 5184 5832 6404 6561 6912 7776 8748 9216 9606 10368 11664 12808 13122 13824 14409 15552 17496 19212 19683 20736 23328 25616 26244 27648 28818 31104 34992 38424 39366 41472 43227 46656 51232 52488 57636 59049 62208 69984 76848 78732 82944 86454 93312 102464 104976 115272 118098 124416 129681 139968 153696 157464 172908 177147 186624 204928 209952 230544 236196 248832 259362 279936 307392 314928 345816 354294 373248 389043 409856 419904 461088 472392 518724 559872 614784 629856 691632 708588 746496 778086 819712 839808 922176 944784 1037448 1119744 1167129 1229568 1259712 1383264 1417176 1556172 1639424 1679616 1844352 1889568 2074896 2239488 2334258 2459136 2519424 2563201 2766528 2834352 3112344 3359232 3501387 3688704 3779136 4149792 4668516 4918272 5038848 5126402 5533056 5668704 6224688 6718464 7002774 7377408 7558272 7689603 8299584 9337032 10077696 10252804 10504161 11066112 11337408 12449376 14005548 14754816 15116544 15379206 16599168 18674064 20155392 20505608 21008322 22132224 22674816 23068809 24898752 28011096 30233088 30758412 31512483 33198336 37348128 41011216 42016644 44264448 45349632 46137618 49797504 56022192 60466176 61516824 63024966 66396672 69206427 74696256 82022432 84033288 90699264 92275236 94537449 99595008 112044384 123033648 126049932 132793344 138412854 149392512 164044864 168066576 181398528 184550472 189074898 199190016 207619281 224088768 246067296 252099864 276825708 283612347 298785024 328089728 336133152 369100944 378149796 398380032 415238562 448177536 492134592 504199728 553651416 567224694 597570048 622857843 656179456 672266304 738201888 756299592 830477124 896355072 984269184 1008399456 1107302832 1134449388 1195140096 1245715686 1312358912 1344532608 1476403776 1512599184 1660954248 1792710144 1868573529 1968538368 2016798912 2214605664 2268898776 2491431372 2624717824 2689065216 2952807552 3025198368 3321908496 3585420288 3737147058 3937076736 4033597824 4429211328 4537797552 4982862744 5378130432 5605720587 5905615104 6050396736 6643816992 7474294116 7874153472 8067195648 8858422656 9075595104 9965725488 10756260864 11211441174 11811230208 12100793472 13287633984 14948588232 16134391296 16817161761 17716845312 18151190208 19931450976 22422882348 23622460416 24201586944 26575267968 29897176464 32268782592 33634323522 35433690624 36302380416 39862901952 44845764696 48403173888 50451485283 53150535936 59794352928 67268647044 70867381248 72604760832 79725803904 89691529392 96806347776 100902970566 106301071872 119588705856 134537294088 145209521664 151354455849 159451607808 179383058784 201805941132 212602143744 239177411712 269074588176 290419043328 302708911698 318903215616 358766117568 403611882264 454063367547 478354823424 538149176352 605417823396 637806431232 717532235136 807223764528 908126735094 956709646848 1076298352704 1210835646792 1435064470272 1614447529056 1816253470188 1913419293696 2152596705408 2421671293584 2870128940544 3228895058112 3632506940376 4305193410816 4843342587168 5740257881088 6457790116224 7265013880752 8610386821632 9686685174336 12915580232448 14530027761504 17220773643264 19373370348672 25831160464896 29060055523008 38746740697344 51662320929792 58120111046016 77493481394688 116240222092032 154986962789376 232480444184064 464960888368128
• Sum of all divisors σ(n): 1395070320618520
• Sum of proper divisors (its aliquot sum) s(n): 930109432250392
• 464960888368128 is an abundant number, because the sum of its proper divisors (930109432250392) is greater than itself. Its abundance is 465148543882264

Bases of 464960888368128

• Binary: 1101001101110000100100100100101011110110000000000₂
• Hexadecimal: 0x1A6E12495EC00
• Base-36: 4KTC300000

Squares and roots of 464960888368128

• 464960888368128 squared (464960888368128²) is 216188627712078787690846224384
• 464960888368128 cubed (464960888368128³) is 100519256396094648593091469916087731882033152
• The square root of 464960888368128 is 21562951.7545285993
• The cube root of 464960888368128 is 77470.9367745627

Scales and comparisons

• 464,960,888,368,128 seconds is equal to 14,784,318 years, 1 week, 4 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 464,960,888,368,128 would take you about thirty-six million, nine hundred sixty thousand, seven hundred ninety-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 464960888368128 cubic inches would be around 6455.9 feet tall.

Recreational maths with 464960888368128

• 464960888368128 backwards is 821863888069464
• 464960888368128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 464960888368128's digits is 81
• More coming soon!