29956335406355744

Names of 29956335406355744

• Cardinal: 29956335406355744 can be written as Twenty-nine quadrillion, nine hundred fifty-six trillion, three hundred thirty-five billion, four hundred six million, three hundred fifty-five thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 2.9956335406355744 × 10¹⁶

Factors of 29956335406355744

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 487

Divisors of 29956335406355744

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 431 496 529 713 736 862 961 992 1058 1426 1724 1922 2116 2852 3448 3844 4232 5704 6896 7688 8464 9913 11408 12167 13361 13792 15376 16399 16928 19826 22103 22816 24334 26722 30752 32798 39652 44206 48668 53444 65596 79304 88412 97336 106888 131192 158608 176824 185761 194672 213776 227999 262384 307303 317216 353648 371522 377177 389344 414191 427552 455998 508369 524768 614606 707296 743044 754354 828382 911996 1016738 1229212 1486088 1508708 1656764 1823992 2033476 2458424 2972176 3017416 3313528 3647984 4066952 4272503 4916848 5243977 5758591 5944352 6034832 6627056 7067969 7295968 8133904 8545006 9526393 9833696 10487954 11517182 11692487 12069664 13254112 14135938 16267808 17090012 19052786 20975908 23034364 23384974 28271876 34180024 38105572 41951816 46068728 46769948 56543752 68360048 76211144 80062991 83903632 92137456 93539896 98267569 113087504 132447593 136720096 152422288 160125982 162563287 167807264 178516321 184274912 187079792 196535138 219107039 226175008 264895186 304844576 320251964 325126574 357032642 374159584 393070276 438214078 529790372 640503928 650253148 714065284 786140552 876428156 1059580744 1281007856 1300506296 1428130568 1572281104 1752856312 1841448793 2119161488 2260154087 2481952721 2562015712 2601012592 2856261136 3046294639 3144562208 3505712624 3682897586 4105875383 4238322976 4520308174 4963905442 5039461897 5202025184 5712522272 6092589278 7011425248 7365795172 8211750766 9040616348 9927810884 10078923794 12185178556 14731590344 16423501532 18081232696 19855621768 20157847588 24370357112 29463180688 32847003064 36162465392 39711243536 40315695176 42353322239 48740714224 57084912583 58926361376 65694006128 70064776697 72324930784 76940534351 79422487072 80631390352 84706644478 94435133809 97481428448 114169825166 131388012256 140129553394 153881068702 161262780704 169413288956 188870267618 228339650332 280259106788 307762137404 338826577912 377740535236 456679300664 560518213576 615524274808 677653155824 755481070472 913358601328 974126411497 1121036427152 1231048549616 1312952989409 1355306311648 1510962140944 1769632290073 1826717202656 1948252822994 2172008077607 2242072854304 2462097099232 2625905978818 3021924281888 3539264580146 3896505645988 4344016155214 5251811957636 7078529160292 7793011291976 8688032310428 10503623915272 14157058320584 15586022583952 17376064620856 21007247830544 28314116641168 30197918756407 31172045167904 34752129241712 40701542671679 42014495661088 56628233282336 60395837512814 69504258483424 81403085343358 120791675025628 162806170686716 241583350051256 325612341373432 483166700102512 651224682746864 936135481448617 966333400205024 1302449365493728 1872270962897234 3744541925794468 7489083851588936 14978167703177872 29956335406355744
• Sum of all divisors σ(n): 63858326687608320
• Sum of proper divisors (its aliquot sum) s(n): 33901991281252576
• 29956335406355744 is an abundant number, because the sum of its proper divisors (33901991281252576) is greater than itself. Its abundance is 3945655874896832

Bases of 29956335406355744

• Binary: 1101010011011010010000011011010101010110001010100100000₂
• Hexadecimal: 0x6A6D20DAAB1520
• Base-36: 86YMUI3A8M8

Squares and roots of 29956335406355744

• 29956335406355744 squared (29956335406355744²) is 897382030978082758001470681793536
• 29956335406355744 cubed (29956335406355744³) is 26882277107616167606745853057745137244959575670784
• The square root of 29956335406355744 is 173078986.0334169627
• The cube root of 29956335406355744 is 310572.4262366187

Scales and comparisons

• 29,956,335,406,355,744 seconds is equal to 952,518,804 years, 46 weeks, 2 days, 23 hours, 15 minutes, 44 seconds.
• To count from 1 to 29,956,335,406,355,744 would take you about two billion, eight hundred fifty-seven million, five hundred fifty-six thousand, four hundred fourteen 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 29956335406355744 cubic inches would be around 25881 feet tall.

Recreational maths with 29956335406355744

• 29956335406355744 backwards is 44755360453365992
• The number of decimal digits it has is: 17
• The sum of 29956335406355744's digits is 80
• More coming soon!