12038825826046320

Names of 12038825826046320

• Cardinal: 12038825826046320 can be written as Twelve quadrillion, thirty-eight trillion, eight hundred twenty-five billion, eight hundred twenty-six million, forty-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.203882582604632 × 10¹⁶

Factors of 12038825826046320

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 47015

Divisors of 12038825826046320

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 659 696 812 840 870 1015 1160 1218 1318 1392 1624 1680 1740 1977 2030 2320 2436 2636 3045 3248 3295 3480 3954 4060 4613 4872 5272 6090 6590 6960 7908 8120 9226 9744 9885 10459 10544 12180 13180 13839 15816 16240 18452 19111 19770 20918 23065 24360 26360 27678 31377 31632 35851 36904 38222 39540 41836 46130 48720 52295 52720 55356 57333 62754 69195 71702 73213 73808 76444 79080 83672 92260 95555 104590 107553 110712 114666 125508 133777 138390 143404 146426 152888 156885 158160 167344 179255 184520 191110 209180 215106 219639 221424 229332 250957 251016 267554 276780 286665 286808 292852 303311 305776 313770 358510 366065 369040 382220 401331 418360 430212 439278 458664 501914 502032 535108 537765 553560 573330 573616 585704 606622 627540 668885 717020 732130 752871 764440 802662 836720 860424 878556 909933 917328 1003828 1039679 1070216 1075530 1098195 1107120 1146660 1171408 1213244 1254785 1255080 1337770 1434040 1464260 1505742 1516555 1528880 1605324 1720848 1757112 1819866 2006655 2007656 2079358 2123177 2140432 2151060 2196390 2293320 2426488 2509570 2510160 2675540 2868080 2928520 3011484 3033110 3119037 3210648 3514224 3639732 3764355 4013310 4015312 4158716 4246354 4302120 4392780 4549665 4586640 4852976 5019140 5198395 5351080 5857040 6022968 6066220 6238074 6369531 6421296 6892481 7277753 7279464 7528710 8026620 8317432 8492708 8604240 8785560 9099330 10038280 10396790 10615885 10702160 12045936 12132440 12476148 12739062 13784962 14555506 14558928 15057420 15595185 16053240 16634864 16985416 17571120 18198660 20076560 20677443 20793580 21231770 21833259 23625809 24264880 24952296 25478124 27569924 29111012 30114840 31190370 31847655 32106480 33970832 34462405 36388765 36397320 41354886 41587160 42463540 43666518 47251618 48247367 49904592 50956248 55139848 58222024 60229680 62380740 63695310 68924810 70877427 72777530 72794640 82709772 83174320 84927080 87333036 94503236 96494734 101912496 103387215 109166295 110279696 116444048 118129045 124761480 127390620 137849620 141754854 144742101 145555060 165380663 165419544 169854160 174666072 189006472 192989468 199881949 206774430 218332590 236258090 241236835 249522960 254781240 275699240 283509708 289484202 291110120 330761326 330839088 349332144 354387135 374965609 378012944 385978936 399763898 413548860 436665180 472516180 482473670 496141989 509562480 551398480 567019416 578968404 582220240 599645847 661522652 685148461 708774270 723710505 749931218 771957872 799527796 826903315 827097720 873330360 945032360 964947340 992283978 999409745 1124896827 1134038832 1157936808 1199291694 1323045304 1370296922 1399173643 1417548540 1447421010 1499862436 1599055592 1653806630 1654195440 1746660720 1874828045 1890064720 1929894680 1984567956 1998819490 2055445383 2249793654 2315873616 2398583388 2480709945 2624759263 2646090608 2740593844 2798347286 2835097080 2894842020 2998229235 2999724872 3198111184 3307613260 3425742305 3749656090 3859789360 3969135912 3997638980 4110890766 4197520929 4499587308 4796039227 4797166776 4961419890 5249518526 5481187688 5596694572 5624484135 5670194160 5789684040 5996458470 5999449744 6615226520 6851484610 6995868215 7499312180 7874277789 7938271824 7995277960 8221781532 8395041858 8999174616 9592078454 9594333552 9922839780 10277226915 10499037052 10874002661 10962375376 11193389144 11248968270 11579368080 11992916940 13123796315 13230453040 13702969220 13991736430 14388117681 14998624360 15748555578 15990555920 16443563064 16790083716 17998349232 19184156908 19845679560 20554453830 20987604645 20998074104 21748005322 22386778288 22497936540 23980196135 23985833880 26247592630 27405938440 27983472860 28776235362 29997248720 31497111156 32622007983 32887126128 33580167432 38368313816 39371388945 39691359120 41108907660 41975209290 41996148208 43496010644 44995873080 47960392270 47971667760 52495185260 54370013305 54811876880 55966945720 57552470724 62994222312 65244015966 67160334864 71940588405 76118018627 76736627632 78742777890 82217815320 83950418580 86992021288 89991746160 95920784540 104990370520 108740026610 111933891440 115104941448 125988444624 130488031932 143881176810 152236037254 157485555780 163110039915 164435630640 167900837160 173984042576 191841569080 209980741040 217480053220 228354055881 230209882896 247102336331 260976063864 287762353620 304472074508 314971111560 326220079830 335801674320 380590093135 383683138160 434960106440 456708111762 494204672662 521952127728 575524707240 608944149016 629942223120 652440159660 741307008993 761180186270 869920212880 913416223524 988409345324 1141770279405 1151049414480 1217888298032 1235511681655 1304880319320 1482614017986 1522360372540 1729716354317 1826832447048 1976818690648 2283540558810 2471023363310 2609760638640 2965228035972 3044720745080 3459432708634 3653664894096 3706535044965 3953637381296 4567081117620 4942046726620 5189149062951 5930456071944 6089441490160 6918865417268 7165967753599 7413070089930 8648581771585 9134162235240 9884093453240 10378298125902 11860912143888 13837730834536 14331935507198 14826140179860 17297163543170 18268324470480 19768186906480 20756596251804 21497903260797 25945745314755 27675461669072 28663871014396 29652280359720 34594327086340 35829838767995 41513192503608 42995806521594 50161774275193 51891490629510 57327742028792 59304560719440 69188654172680 71659677535990 83026385007216 85991613043188 100323548550386 103782981259020 107489516303985 114655484057584 138377308345360 143319355071980 150485322825579 171983226086376 200647097100772 207565962518040 214979032607970 250808871375965 286638710143960 300970645651158 343966452172752 401294194201544 415131925036080 429958065215940 501617742751930 573277420287920 601941291302316 752426614127895 802588388403088 859916130431880 1003235485503860 1203882582604632 1504853228255790 1719832260863760 2006470971007720 2407765165209264 3009706456511580 4012941942015440 6019412913023160 12038825826046320
• Sum of all divisors σ(n): 44195004767232000
• Sum of proper divisors (its aliquot sum) s(n): 32156178941185680
• 12038825826046320 is an abundant number, because the sum of its proper divisors (32156178941185680) is greater than itself. Its abundance is 20117353115139360

Bases of 12038825826046320

• Binary: 101010110001010011111110010000110111111101000101110000₂
• Hexadecimal: 0x2AC53F90DFD170
• Base-36: 3AJEO8FK12O

Squares and roots of 12038825826046320

• 12038825826046320 squared (12038825826046320²) is 144933327269879859100522785542400
• 12038825826046320 cubed (12038825826046320³) is 1744827083391453031375755675762840753448723968000
• The square root of 12038825826046320 is 109721583.2279425323
• The cube root of 12038825826046320 is 229189.4964488637

Scales and comparisons

• 12,038,825,826,046,320 seconds is equal to 382,797,422 years, 38 weeks, 1 day, 12 hours, 52 minutes.
• To count from 1 to 12,038,825,826,046,320 would take you about one billion, one hundred forty-eight million, three hundred ninety-two thousand, two hundred sixty-eight 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 12038825826046320 cubic inches would be around 19099.1 feet tall.

Recreational maths with 12038825826046320

• 12038825826046320 backwards is 02364062852883021
• 12038825826046320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12038825826046320's digits is 60
• More coming soon!