9942864680448

Names of 9942864680448

• Cardinal: 9942864680448 can be written as Nine trillion, nine hundred forty-two billion, eight hundred sixty-four million, six hundred eighty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 9.942864680448 × 10¹²

Factors of 9942864680448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2735

Divisors of 9942864680448

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 128 133 144 152 162 168 171 189 192 216 224 228 252 256 266 288 304 324 336 342 378 384 399 432 448 456 504 512 513 532 567 576 608 648 672 684 756 768 798 864 896 912 1008 1026 1064 1134 1152 1193 1197 1216 1296 1344 1368 1511 1512 1536 1539 1596 1728 1792 1824 2016 2052 2128 2268 2304 2386 2394 2432 2592 2688 2736 3022 3024 3078 3192 3456 3579 3584 3591 3648 4032 4104 4256 4533 4536 4608 4772 4788 4864 5184 5376 5472 6044 6048 6156 6384 6912 7158 7182 7296 8064 8208 8351 8512 9066 9072 9544 9576 9728 10368 10577 10737 10752 10773 10944 12088 12096 12312 12768 13599 13824 14316 14364 14592 16128 16416 16702 17024 18132 18144 19088 19152 20736 21154 21474 21546 21888 22667 24176 24192 24624 25053 25536 27198 28632 28709 28728 29184 31731 32211 32256 32832 33404 34048 36264 36288 38176 38304 40797 41472 42308 42948 43092 43776 45334 48352 48384 49248 50106 51072 54396 57264 57418 57456 63462 64422 65664 66808 68001 68096 72528 72576 75159 76352 76608 81594 84616 85896 86127 86184 87552 90668 95193 96633 96704 96768 98496 100212 102144 108792 114528 114836 114912 122391 126924 128844 131328 133616 136002 145056 145152 150318 152704 153216 158669 163188 169232 171792 172254 172368 181336 190386 193266 193408 196992 200424 200963 204003 204288 217584 225477 229056 229672 229824 244782 253848 257688 258381 262656 267232 272004 285579 290112 290304 300636 305408 306432 317338 326376 338464 343584 344508 344736 362672 380772 386532 386816 393984 400848 401926 408006 435168 450954 458112 459344 459648 476007 489564 507696 515376 516762 534464 544008 571158 580224 601272 602889 610816 612009 612864 634676 652752 676431 676928 687168 689016 689472 725344 761544 773064 773632 775143 787968 801696 803852 816012 856737 870336 901908 916224 918688 919296 952014 979128 1015392 1030752 1033524 1068928 1088016 1142316 1160448 1202544 1205778 1224018 1269352 1305504 1352862 1353856 1374336 1378032 1378944 1428021 1450688 1523088 1546128 1550286 1603392 1607704 1632024 1713474 1740672 1802623 1803816 1808667 1832448 1836027 1837376 1838592 1904028 1958256 2030784 2061504 2067048 2137856 2176032 2284632 2320896 2325429 2405088 2411556 2448036 2538704 2611008 2705724 2707712 2748672 2756064 2757888 2856042 2901376 3046176 3092256 3100572 3206784 3215408 3264048 3426948 3481344 3605246 3607632 3617334 3672054 3674752 3808056 3916512 4061568 4123008 4134096 4275712 4284063 4352064 4569264 4650858 4810176 4823112 4896072 5077408 5222016 5407869 5411448 5415424 5426001 5497344 5512128 5515776 5712084 5802752 6092352 6184512 6201144 6413568 6430816 6528096 6853896 6962688 7210492 7215264 7234668 7344108 7349504 7616112 7833024 8123136 8246016 8268192 8568126 8704128 9138528 9301716 9620352 9646224 9792144 10154816 10444032 10815738 10822896 10852002 11024256 11424168 11605504 12184704 12369024 12402288 12618361 12827136 12852189 12861632 13056192 13707792 14420984 14430528 14469336 14688216 14699008 15232224 15666048 16223607 16246272 16278003 16492032 16536384 17136252 17408256 18277056 18603432 19240704 19292448 19584288 20309632 20888064 21631476 21645792 21704004 22048512 22848336 24369408 24738048 24804576 25236722 25704378 25723264 26112384 27415584 28841968 28861056 28938672 29376432 30464448 31332096 32447214 32556006 33072768 34249837 34272504 34816512 36554112 37206864 37855083 38481408 38584896 39168576 40619264 43262952 43291584 43408008 44097024 45696672 48670821 48738816 49476096 49609152 50473444 51408756 51446528 52224768 54831168 57683936 57722112 57877344 58752864 60928896 62664192 64894428 65112012 66145536 68499674 68545008 73108224 74413728 75710166 77169792 78337152 81238528 86525904 86583168 86816016 91393344 97341642 99218304 100946888 102749511 102817512 102893056 104449536 109662336 113565249 115367872 115444224 115754688 117505728 121857792 129788856 130224024 132291072 136999348 137090016 146012463 146216448 148827456 151420332 154339584 156674304 173051808 173166336 173632032 182786688 194683284 198436608 201893776 205499022 205635024 219324672 227130498 230735744 231509376 235011456 239748859 243715584 259577712 260448048 273998696 274180032 292024926 297654912 302840664 308248533 308679168 313348608 340695747 346103616 346332672 347264064 365573376 389366568 396873216 403787552 410998044 411270048 438649344 454260996 461471488 463018752 470022912 479497718 519155424 520896096 547997392 548360064 584049852 595309824 605681328 616497066 681391494 692207232 694528128 719246577 731146752 778733136 807575104 821996088 822540096 908521992 922942976 924745599 926037504 940045824 958995436 1022087241 1038310848 1041792192 1095994784 1096720128 1168099704 1190619648 1211362656 1232994132 1362782988 1384414464 1389056256 1438493154 1557466272 1615150208 1643992176 1645080192 1817043984 1849491198 1917990872 2044174482 2076621696 2083584384 2157739731 2191989568 2193440256 2336199408 2422725312 2465988264 2725565976 2768828928 2774236797 2778112512 2876986308 3114932544 3230300416 3287984352 3290160384 3634087968 3698982396 3835981744 4088348964 4153243392 4167168768 4315479462 4383979136 4672398816 4845450624 4931976528 5451131952 5548473594 5753972616 6229865088 6460600832 6473219193 6575968704 6580320768 7268175936 7397964792 7671963488 8176697928 8306486784 8334337536 8630958924 8767958272 9344797632 9690901248 9863953056 10902263904 11096947188 11507945232 12459730176 12946438386 13151937408 14536351872 14795929584 15343926976 16353395856 17261917848 17535916544 18689595264 19381802496 19419657579 19727906112 21804527808 22193894376 23015890464 24919460352 25892876772 26303874816 29072703744 29591859168 30687853952 32706791712 34523835696 37379190528 38839315158 39455812224 43609055616 44387788752 46031780928 51785753544 52607749632 58145407488 59183718336 61375707904 65413583424 69047671392 74758381056 77678630316 78911624448 87218111232 88775577504 92063561856 103571507088 118367436672 122751415808 130827166848 138095342784 155357260632 157823248896 174436222464 177551155008 184127123712 207143014176 236734873344 261654333696 276190685568 310714521264 355102310016 368254247424 414286028352 473469746688 523308667392 552381371136 621429042528 710204620032 828572056704 1104762742272 1242858085056 1420409240064 1657144113408 2485716170112 3314288226816 4971432340224 9942864680448
• Sum of all divisors σ(n): 35755026531840
• Sum of proper divisors (its aliquot sum) s(n): 25812161851392
• 9942864680448 is an abundant number, because the sum of its proper divisors (25812161851392) is greater than itself. Its abundance is 15869297170944

Bases of 9942864680448

• Binary: 10010000101100000000111010101101011000000000₂
• Hexadecimal: 0x90B00EAD600
• Base-36: 3IVOSWW00

Squares and roots of 9942864680448

• 9942864680448 squared (9942864680448²) is 98860558053700309153480704
• 9942864680448 cubed (9942864680448³) is 982957150961515877195281729363894075392
• The square root of 9942864680448 is 3153230.8320907939
• The cube root of 9942864680448 is 21503.2370683567

Scales and comparisons

• 9,942,864,680,448 seconds is equal to 316,152 years, 17 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 9,942,864,680,448 would take you about seven hundred ninety thousand, three hundred eighty 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 9942864680448 cubic inches would be around 1791.9 feet tall.

Recreational maths with 9942864680448

• 9942864680448 backwards is 8440864682499
• 9942864680448 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 9942864680448's digits is 72
• More coming soon!