13790982417217152

Names of 13790982417217152

• Cardinal: 13790982417217152 can be written as Thirteen quadrillion, seven hundred ninety trillion, nine hundred eighty-two billion, four hundred seventeen million, two hundred seventeen thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 1.3790982417217152 × 10¹⁶

Factors of 13790982417217152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2400

Divisors of 13790982417217152

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 961 992 1302 1344 1488 1736 1922 1984 2357 2604 2688 2883 2976 3472 3844 3968 4714 5208 5766 5952 6727 6944 7071 7688 9428 10416 11532 11904 13454 13888 14142 15376 16499 18856 20181 20832 23064 26908 27776 28284 29791 30752 32998 37712 40362 41664 46128 49497 53816 56568 59582 61504 65996 73067 75424 80724 83328 89373 92256 98994 107632 113136 119164 123008 131992 146134 150848 161448 178746 184512 197988 208537 215264 219201 226272 238328 263984 292268 301696 322896 357492 369024 395976 417074 430528 438402 452544 476656 511469 527968 584536 625611 645792 714984 791952 834148 861056 876804 905088 923521 953312 1022938 1055936 1169072 1251222 1291584 1429968 1534407 1583904 1668296 1753608 1847042 1906624 2045876 2111872 2265077 2338144 2502444 2583168 2770563 2859936 3068814 3167808 3336592 3507216 3694084 3813248 4091752 4530154 4676288 5004888 5541126 5555449 5719872 6137628 6335616 6464647 6673184 6795231 7014432 7388168 8183504 9060308 9352576 10009776 11082252 11110898 11439744 12275256 12929294 13346368 13590462 14028864 14776336 15855539 16367008 16666347 18120616 19393941 20019552 22164504 22221796 24550512 25858588 26692736 27180924 28057728 29552672 31711078 32734016 33332694 36241232 38787882 38888143 40039104 44329008 44443592 47566617 49101024 51717176 54361848 59105344 63422156 65468032 66665388 70217387 72482464 77575764 77776286 80078208 88658016 88887184 95133234 98202048 103434352 108723696 116664429 118210688 126844312 133330776 140434774 144964928 155151528 155552572 172218919 177316032 177774368 190266468 196404096 206868704 210652161 217447392 233328858 253688624 266661552 280869548 289929856 310303056 311105144 344437838 354632064 355548736 380532936 413737408 421304322 434894784 466657716 491521709 507377248 516656757 533323104 561739096 620606112 622210288 688875676 711097472 761065872 827474816 842608644 869789568 933315432 983043418 1014754496 1033313514 1066646208 1123478192 1205532433 1241212224 1244420576 1377751352 1474565127 1522131744 1685217288 1866630864 1966086836 2029508992 2066627028 2133292416 2176738997 2246956384 2411064866 2482424448 2488841152 2755502704 2949130254 3044263488 3370434576 3616597299 3733261728 3932173672 4133254056 4353477994 4493912768 4822129732 4977682304 5338786489 5511005408 5898260508 6088526976 6530216991 6740869152 7233194598 7466523456 7864347344 8266508112 8706955988 8987825536 9644259464 10677572978 11022010816 11796521016 13060433982 13481738304 14466389196 14933046912 15237172979 15728694688 16016359467 16533016224 17413911976 19288518928 21355145956 22044021632 23593042032 26120867964 26963476608 28932778392 30474345958 31457389376 32032718934 33066032448 34827823952 37371505423 38577037856 42710291912 45711518937 47186084064 52241735928 57865556784 60948691916 62914778752 64065437868 66132064896 69655647904 74743010846 77154075712 85420583824 91423037874 94372168128 104483471856 112114516269 115731113568 121897383832 128130875736 139311295808 149486021692 154308151424 165502381159 170841167648 182846075748 188744336256 208966943712 224229032538 231462227136 243794767664 256261751472 278622591616 298972043384 331004762318 341682335296 365692151496 417933887424 448458065076 462924454272 487589535328 496507143477 512523502944 597944086768 662009524636 683364670592 731384302992 835867774848 896916130152 975179070656 993014286954 1025047005888 1158516668113 1195888173536 1324019049272 1462768605984 1793832260304 1950358141312 1986028573908 2050094011776 2317033336226 2391776347072 2648038098544 2925537211968 3475550004339 3587664520608 3972057147816 4634066672452 4783552694144 5130573815929 5296076197088 5851074423936 6951100008678 7175329041216 7944114295632 9268133344904 10261147631858 10592152394176 13902200017356 14350658082432 15391721447787 15888228591264 18536266689808 20522295263716 21184304788352 27804400034712 30783442895574 31776457182528 35914016711503 37072533379616 41044590527432 55608800069424 61566885791148 63552914365056 71828033423006 74145066759232 82089181054864 107742050134509 111217600138848 123133771582296 143656066846012 148290133518464 164178362109728 215484100269018 222435200277696 246267543164592 287312133692024 328356724219456 430968200538036 444870400555392 492535086329184 574624267384048 656713448438912 861936401076072 985070172658368 1149248534768096 1723872802152144 1970140345316736 2298497069536192 3447745604304288 4596994139072384 6895491208608576 13790982417217152
• Sum of all divisors σ(n): 43279358954541600
• Sum of proper divisors (its aliquot sum) s(n): 29488376537324448
• 13790982417217152 is an abundant number, because the sum of its proper divisors (29488376537324448) is greater than itself. Its abundance is 15697394120107296

Bases of 13790982417217152

• Binary: 110000111111101101001101010000000101001111011010000000₂
• Hexadecimal: 0x30FED35014F680
• Base-36: 3RSHTUYLHMO

Squares and roots of 13790982417217152

• 13790982417217152 squared (13790982417217152²) is 190191196031992640716679922991104
• 13790982417217152 cubed (13790982417217152³) is 2622923440386711076197870362504137790055732215808
• The square root of 13790982417217152 is 117435013.5914206467
• The cube root of 13790982417217152 is 239808.7737014571

Scales and comparisons

• 13,790,982,417,217,152 seconds is equal to 438,510,582 years, 29 weeks, 2 hours, 59 minutes, 12 seconds.
• To count from 1 to 13,790,982,417,217,152 would take you about one billion, three hundred fifteen million, five hundred thirty-one thousand, seven hundred forty-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 13790982417217152 cubic inches would be around 19984.1 feet tall.

Recreational maths with 13790982417217152

• 13790982417217152 backwards is 25171271428909731
• The number of decimal digits it has is: 17
• The sum of 13790982417217152's digits is 69
• More coming soon!