48193640493981920

Names of 48193640493981920

• Cardinal: 48193640493981920 can be written as Forty-eight quadrillion, one hundred ninety-three trillion, six hundred forty billion, four hundred ninety-three million, nine hundred eighty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.819364049398192 × 10¹⁶

Factors of 48193640493981920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 15482257

Divisors of 48193640493981920

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 289 340 476 544 560 578 595 680 952 1120 1156 1190 1360 1445 1904 2023 2312 2380 2720 2890 3808 4046 4624 4760 5780 8092 9248 9520 9623 10115 11560 16184 19040 19246 20230 23120 32368 38492 40460 46240 48115 64736 67361 76984 80920 96230 134722 153968 161840 163591 192460 269444 307936 323680 327182 336805 384920 538888 654364 673610 769840 817955 1077776 1145137 1308728 1347220 1539680 1635910 2155552 2290274 2617456 2694440 2781047 3271820 4580548 5234912 5388880 5562094 5725685 6543640 9161096 10777760 11124188 11451370 13087280 13905235 15472603 18322192 19467329 22248376 22902740 26174560 27810470 30945206 36644384 38934658 44496752 45805480 55620940 61890412 77363015 77869316 88993504 91610960 97336645 108308221 111241880 123780824 154726030 155738632 183221920 194673290 216616442 222483760 247561648 263034251 309452060 311477264 389346580 433232884 444967520 495123296 526068502 541541105 618904120 622954528 778693160 866465768 1052137004 1083082210 1237808240 1315171255 1557386320 1732931536 1841239757 2104274008 2166164420 2475616480 2630342510 3114772640 3465863072 3682479514 4208548016 4332328840 4471582267 5260685020 7364959028 8417096032 8664657680 8943164534 9206198785 10521370040 14729918056 17329315360 17886329068 18412397570 21042740080 22357911335 29459836112 31301075869 35772658136 36824795140 42085480160 44715822670 58919672224 62602151738 71545316272 73649590280 89431645340 125204303476 143090632544 147299180560 148892858669 156505379345 178863290680 250408606952 294598361120 297785717338 313010758690 357726581360 500817213904 595571434676 626021517380 715453162720 744464293345 1001634427808 1042250010683 1191142869352 1252043034760 1488928586690 2084500021366 2382285738704 2504086069520 2531178597373 2977857173380 4169000042732 4764571477408 5008172139040 5062357194746 5211250053415 5955714346760 8338000085464 10124714389492 10422500106830 11911428693520 12655892986865 16676000170928 17718250181611 20249428778984 20845000213660 23822857387040 25311785973730 33352000341856 35436500363222 40498857557968 41690000427320 43030036155341 50623571947460 70873000726444 80997715115936 83380000854640 86060072310682 88591250908055 101247143894920 141746001452888 166760001709280 172120144621364 177182501816110 202494287789840 215150180776705 283492002905776 301210253087387 344240289242728 354365003632220 404988575579680 430300361553410 566984005811552 602420506174774 688480578485456 708730007264440 860600723106820 1204841012349548 1376961156970912 1417460014528880 1506051265436935 1721201446213640 2409682024699096 2834920029057760 3012102530873870 3442402892427280 4819364049398192 6024205061747740 6884805784854560 9638728098796384 12048410123495480 24096820246990960 48193640493981920
• Sum of all divisors σ(n): 138241738620937728
• Sum of proper divisors (its aliquot sum) s(n): 90048098126955808
• 48193640493981920 is an abundant number, because the sum of its proper divisors (90048098126955808) is greater than itself. Its abundance is 41854457632973888

Bases of 48193640493981920

• Binary: 10101011001101111101110001010110000100111010000011100000₂
• Hexadecimal: 0xAB37DC5613A0E0
• Base-36: D6J7WSR6YU8

Squares and roots of 48193640493981920

• 48193640493981920 squared (48193640493981920²) is 2322626984063173881995737286886400
• 48193640493981920 cubed (48193640493981920³) is 111935849871562076357641079860887619287734693888000
• The square root of 48193640493981920 is 219530500.1451550467
• The cube root of 48193640493981920 is 363912.1685952359

Scales and comparisons

• 48,193,640,493,981,920 seconds is equal to 1,532,408,694 years, 51 weeks, 3 days, 15 hours, 25 minutes, 20 seconds.
• To count from 1 to 48,193,640,493,981,920 would take you about four billion, five hundred ninety-seven million, two hundred twenty-six thousand and eighty-four 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 48193640493981920 cubic inches would be around 30326 feet tall.

Recreational maths with 48193640493981920

• 48193640493981920 backwards is 02918939404639184
• 48193640493981920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48193640493981920's digits is 80
• More coming soon!