10948890187878400

Names of 10948890187878400

• Cardinal: 10948890187878400 can be written as Ten quadrillion, nine hundred forty-eight trillion, eight hundred ninety billion, one hundred eighty-seven million, eight hundred seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.09488901878784 × 10¹⁶

Factors of 10948890187878400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3196

Divisors of 10948890187878400

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 512 575 640 736 800 920 1024 1150 1187 1280 1472 1600 1840 1979 2048 2300 2374 2560 2944 3200 3680 3958 4096 4600 4748 5120 5888 5935 6400 7360 7916 9200 9496 9895 10240 11776 11870 12800 14720 15832 18400 18992 19790 20480 23552 23740 25600 27301 29440 29675 31664 36800 37984 39580 45517 47104 47480 49475 51200 54602 58880 59350 63328 73600 75968 79160 91034 94208 94960 98950 102400 109204 117760 118700 126656 136505 147200 151936 158320 182068 189920 197900 218408 227585 235520 237400 253312 273010 294400 303872 316640 364136 379840 395800 436816 455170 471040 474800 506624 546020 588800 607744 633280 682525 728272 759680 791600 873632 910340 949600 1013248 1092040 1137925 1177600 1215488 1266560 1365050 1456544 1519360 1583200 1747264 1820680 1899200 2026496 2184080 2275850 2349073 2355200 2430976 2533120 2730100 2913088 3038720 3166400 3494528 3641360 3798400 3916441 4052992 4368160 4551700 4698146 4861952 5066240 5460200 5826176 6077440 6332800 6989056 7282720 7596800 7832882 8105984 8736320 9103400 9396292 10132480 10920400 11652352 11745365 12154880 12665600 13978112 14565440 15193600 15665764 17472640 18206800 18792584 19582205 20264960 21840800 23304704 23490730 24309760 25331200 27956224 29130880 30387200 31331528 34945280 36413600 37585168 39164410 40529920 43681600 46609408 46981460 50662400 54028679 55912448 58261760 58726825 60774400 62663056 69890560 72827200 75170336 78328820 87363200 90078143 93218816 93962920 97911025 101324800 108057358 111824896 116523520 117453650 121548800 125326112 139781120 145654400 150340672 156657640 174726400 180156286 186437632 187925840 195822050 202649600 216114716 233047040 234907300 250652224 270143395 279562240 291308800 300681344 313315280 349452800 360312572 375851680 391644100 432229432 450390715 466094080 469814600 501304448 540286790 559124480 582617600 601362688 626630560 698905600 720625144 751703360 783288200 864458864 900781430 932188160 939629200 1002608896 1080573580 1165235200 1202725376 1253261120 1350716975 1397811200 1441250288 1503406720 1566576400 1728917728 1801562860 1879258400 2005217792 2161147160 2251953575 2330470400 2405450752 2506522240 2701433950 2795622400 2882500576 3006813440 3133152800 3457835456 3603125720 3758516800 4010435584 4322294320 4503907150 4648815467 4660940800 4810901504 5013044480 5402867900 5765001152 6013626880 6266305600 6915670912 7206251440 7517033600 8020871168 8644588640 9007814300 9297630934 9621803008 10026088960 10805735800 11530002304 12027253760 12532611200 13831341824 14412502880 15034067200 16041742336 17289177280 18015628600 18595261868 20052177920 21611471600 23060004608 23244077335 24054507520 25065222400 27662683648 28825005760 30068134400 34578354560 36031257200 37190523736 40104355840 43222943200 46120009216 46488154670 48109015040 50130444800 55325367296 57650011520 60136268800 69156709120 72062514400 74381047472 80208711680 86445886400 92240018432 92976309340 100260889600 106922755741 110650734592 115300023040 116220386675 120272537600 138313418240 144125028800 148762094944 172891772800 184480036864 185952618680 200521779200 213845511482 221301469184 230600046080 232440773350 240545075200 276626836480 288250057600 297524189888 345783545600 368960073728 371905237360 401043558400 427691022964 461200092160 464881546700 534613778705 553253672960 576500115200 595048379776 691567091200 743810474720 855382045928 922400184320 929763093400 1069227557410 1106507345920 1153000230400 1190096759552 1383134182400 1487620949440 1710764091856 1844800368640 1859526186800 2138455114820 2306000460800 2380193519104 2673068893525 2766268364800 2975241898880 3421528183712 3719052373600 4276910229640 4612000921600 4760387038208 5346137787050 5532536729600 5950483797760 6843056367424 7438104747200 8553820459280 9224001843200 9520774076416 10692275574100 11900967595520 13686112734848 14876209494400 17107640918560 19041548152832 21384551148200 23801935191040 27372225469696 29752418988800 34215281837120 42769102296400 47603870382080 54744450939392 59504837977600 68430563674240 85538204592800 95207740764160 109488901878784 119009675955200 136861127348480 171076409185600 218977803757568 238019351910400 273722254696960 342152818371200 437955607515136 476038703820800 547444509393920 684305636742400 1094889018787840 1368611273484800 2189778037575680 2737222546969600 5474445093939200 10948890187878400
• Sum of all divisors σ(n): 28368566926663392
• Sum of proper divisors (its aliquot sum) s(n): 17419676738784992
• 10948890187878400 is an abundant number, because the sum of its proper divisors (17419676738784992) is greater than itself. Its abundance is 6470786550906592

Bases of 10948890187878400

• Binary: 100110111001011111010100100110010101010101000000000000₂
• Hexadecimal: 0x26E5F526555000
• Base-36: 2ZT22PPW8HS

Squares and roots of 10948890187878400

• 10948890187878400 squared (10948890187878400²) is 119878196346219905250293186560000
• 10948890187878400 cubed (10948890187878400³) is 1312533207715687382809524413971601821794304000000
• The square root of 10948890187878400 is 104636944.6604706631
• The cube root of 10948890187878400 is 222053.0281291355

Scales and comparisons

• 10,948,890,187,878,400 seconds is equal to 348,140,840 years, 43 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 10,948,890,187,878,400 would take you about one billion, forty-four million, four hundred twenty-two thousand, five hundred twenty-two 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 10948890187878400 cubic inches would be around 18504.4 feet tall.

Recreational maths with 10948890187878400

• 10948890187878400 backwards is 00487878109884901
• The number of decimal digits it has is: 17
• The sum of 10948890187878400's digits is 82
• More coming soon!