38957533986816

Names of 38957533986816

• Cardinal: 38957533986816 can be written as Thirty-eight trillion, nine hundred fifty-seven billion, five hundred thirty-three million, nine hundred eighty-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 3.8957533986816 × 10¹³

Factors of 38957533986816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 167

Divisors of 38957533986816

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 41 48 53 62 64 72 74 82 93 96 106 111 123 124 128 144 148 159 164 186 192 212 222 246 248 256 279 288 296 318 328 333 369 372 384 424 444 477 492 496 512 558 576 592 636 656 666 738 744 768 848 888 954 984 992 1024 1116 1147 1152 1184 1271 1272 1312 1332 1476 1488 1517 1536 1643 1696 1776 1908 1961 1968 1984 2048 2173 2232 2294 2304 2368 2542 2544 2624 2664 2809 2952 2976 3034 3072 3286 3392 3441 3552 3813 3816 3922 3936 3968 4096 4346 4464 4551 4588 4608 4736 4929 5084 5088 5248 5328 5618 5883 5904 5952 6068 6144 6519 6572 6784 6882 7104 7626 7632 7844 7872 7936 8192 8427 8692 8928 9102 9176 9216 9472 9858 10168 10176 10323 10496 10656 11236 11439 11766 11808 11904 12136 12288 13038 13144 13568 13653 13764 14208 14787 15252 15264 15688 15744 15872 16384 16854 17384 17649 17856 18204 18352 18432 18944 19557 19716 20336 20352 20646 20992 21312 22472 22878 23532 23616 23808 24272 24576 25281 26076 26288 27136 27306 27528 28416 29574 30504 30528 31376 31488 31744 32768 33708 34768 35298 35712 36408 36704 36864 37888 39114 39432 40672 40704 41292 41984 42624 44944 45756 47027 47064 47232 47616 48544 49152 50562 52152 52576 54272 54612 55056 56832 59148 60791 61008 61056 62752 62976 63488 67363 67416 69536 70596 71424 72816 73408 73728 75776 78228 78864 80401 81344 81408 82584 83968 85248 87079 89888 91512 94054 94128 94464 95232 97088 98304 101124 103933 104304 105152 108544 109224 110112 113664 115169 118296 121582 122016 122112 125504 125952 126976 134726 134832 139072 141081 141192 142848 145632 146816 147456 151552 156456 157728 160802 162688 162816 165168 167936 170496 174158 179776 182373 183024 188108 188256 188928 190464 194176 202089 202248 207866 208608 210304 217088 218448 220224 227328 230338 236592 241203 243164 244032 244224 251008 251904 253952 261237 269452 269664 278144 282162 282384 285696 291264 293632 294912 303104 311799 312912 315456 321604 325376 325632 330336 335872 340992 345507 348316 359552 364746 366048 376216 376512 377856 380928 388352 404178 404496 415732 417216 420608 423243 434176 436896 440448 454656 460676 473184 482406 486328 488064 488448 502016 503808 507904 522474 538904 539328 547119 556288 564324 564768 571392 582528 587264 606208 606267 623598 625824 630912 643208 650752 651264 660672 671744 681984 691014 696632 719104 723609 729492 732096 752432 753024 755712 761856 776704 783711 808356 808992 831464 834432 841216 846486 868352 873792 880896 909312 921352 935397 946368 964812 972656 976128 976896 1004032 1007616 1015808 1036521 1044948 1077808 1078656 1094238 1112576 1128648 1129536 1142784 1165056 1174528 1212416 1212534 1247196 1251648 1261824 1286416 1301504 1302528 1321344 1343488 1363968 1382028 1393264 1438208 1447218 1458984 1464192 1504864 1506048 1511424 1523712 1553408 1567422 1616712 1617984 1662928 1668864 1682432 1692972 1736704 1747584 1761792 1818624 1842704 1870794 1892736 1929624 1945312 1952256 1953792 2008064 2015232 2073042 2089896 2155616 2157312 2188476 2225152 2257296 2259072 2285568 2330112 2349056 2425068 2492431 2494392 2503296 2523648 2572832 2603008 2605056 2642688 2727936 2764056 2786528 2876416 2894436 2917968 2928384 3009728 3012096 3022848 3047424 3106816 3134844 3221923 3233424 3235968 3325856 3337728 3364864 3385944 3495168 3523584 3570239 3637248 3685408 3741588 3785472 3859248 3890624 3904512 3907584 4016128 4030464 4146084 4179792 4261253 4311232 4314624 4376952 4450304 4514592 4518144 4571136 4660224 4698112 4850136 4984862 4988784 5006592 5047296 5145664 5206016 5210112 5285376 5455872 5528112 5573056 5752832 5788872 5835936 5856768 6019456 6024192 6045696 6213632 6269688 6443846 6466848 6471936 6651712 6675456 6729728 6771888 6990336 7047168 7140478 7370816 7477293 7483176 7570944 7718496 7781248 7809024 7815168 8032256 8292168 8359584 8522506 8622464 8629248 8753904 8900608 9029184 9036288 9142272 9320448 9396224 9665769 9700272 9969724 9977568 10013184 10094592 10291328 10412032 10570752 10710717 10911744 11056224 11146112 11505664 11577744 11671872 11713536 12038912 12048384 12091392 12427264 12539376 12783759 12887692 12933696 12943872 13303424 13350912 13459456 13543776 13980672 14094336 14280956 14741632 14954586 14966352 15141888 15436992 15562496 15618048 15630336 16064512 16584336 16719168 17045012 17244928 17258496 17507808 17801216 18058368 18072576 18640896 18792448 19331538 19400544 19939448 19955136 20026368 20189184 20582656 20824064 21141504 21421434 22112448 22292224 22431879 23011328 23155488 23343744 23427072 24077824 24096768 24854528 25078752 25567518 25775384 25867392 25887744 26606848 26701824 26918912 27087552 27961344 28188672 28561912 28997307 29483264 29909172 29932704 30283776 30873984 31124992 31236096 32129024 32132151 33168672 33438336 34090024 34489856 34516992 35015616 35602432 36116736 36145152 37281792 37584896 38351277 38663076 38801088 39878896 39910272 40052736 40378368 41165312 41648128 42283008 42842868 44224896 44584448 44863758 46022656 46310976 46687488 46854144 48155648 48193536 49709056 50157504 51135036 51550768 51734784 51775488 53213696 53403648 53837824 54175104 55922688 56377344 57123824 57994614 58966528 59818344 59865408 60567552 61747968 62249984 62472192 64258048 64264302 66337344 66876672 68180048 68979712 69033984 70031232 71204864 72233472 72290304 74563584 76702554 77326152 77602176 79757792 79820544 80105472 80756736 82330624 84566016 85685736 88449792 89168896 89727516 92045312 92621952 93374976 93708288 96311296 96387072 100315008 102270072 103101536 103469568 103550976 106427392 106807296 108350208 111845376 112754688 114247648 115989228 117933056 119636688 119730816 121135104 123495936 124499968 124944384 128528604 132098843 132674688 133753344 136360096 137959424 138067968 140062464 144466944 144580608 149127168 153405108 154652304 155204352 159515584 159641088 160210944 161513472 164661248 169132032 171371472 176899584 178337792 179455032 185243904 186749952 187416576 192622592 192774144 200630016 204540144 206203072 206939136 207101952 212854784 213614592 216700416 223690752 228495296 231978456 235866112 239273376 239461632 242270208 246991872 248999936 257057208 264197686 265349376 267506688 272720192 275918848 276135936 280124928 288933888 289161216 306810216 309304608 310408704 319031168 319282176 320421888 329322496 338264064 342742944 353799168 356675584 358910064 370487808 373499904 374833152 385245184 396296529 401260032 409080288 412406144 413878272 414203904 425709568 433400832 447381504 456990592 463956912 471732224 478546752 478923264 484540416 493983744 497999872 514114416 528395372 530698752 535013376 545440384 551837696 560249856 577867776 578322432 613620432 618609216 620817408 638062336 638564352 640843776 658644992 685485888 707598336 713351168 717820128 740975616 746999808 770490368 792593058 802520064 818160576 824812288 827756544 828407808 851419136 866801664 913981184 927913824 943464448 957093504 957846528 987967488 995999744 1028228832 1056790744 1061397504 1070026752 1090880768 1103675392 1120499712 1155735552 1188889587 1227240864 1237218432 1241634816 1276124672 1277128704 1317289984 1370971776 1415196672 1426702336 1435640256 1481951232 1493999616 1540980736 1585186116 1605040128 1636321152 1649624576 1655513088 1702838272 1733603328 1827962368 1855827648 1886928896 1914187008 1915693056 1975934976 1991999488 2056457664 2113581488 2122795008 2140053504 2181761536 2207350784 2240999424 2311471104 2377779174 2454481728 2474436864 2483269632 2552249344 2554257408 2634579968 2741943552 2830393344 2853404672 2871280512 2963902464 2987999232 3170372232 3210080256 3272642304 3299249152 3311026176 3405676544 3467206656 3655924736 3711655296 3773857792 3828374016 3831386112 3951869952 4112915328 4227162976 4245590016 4280107008 4363523072 4481998848 4622942208 4755558348 4908963456 4948873728 4966539264 5104498688 5108514816 5483887104 5660786688 5742561024 5927804928 5975998464 6340744464 6420160512 6545284608 6598498304 6622052352 6934413312 7311849472 7423310592 7656748032 7662772224 7903739904 8225830656 8454325952 8491180032 8560214016 8727046144 8963997696 9511116696 9817926912 9897747456 9933078528 10208997376 10217029632 10967774208 11321573376 11485122048 11855609856 12681488928 12840321024 13090569216 13196996608 13868826624 14623698944 14846621184 15313496064 15325544448 16451661312 16908651904 16982360064 17454092288 17927995392 19022233392 19635853824 19795494912 19866157056 20417994752 21935548416 22970244096 23711219712 25362977856 25680642048 26181138432 26393993216 29247397888 29693242368 30626992128 30651088896 32903322624 33817303808 33964720128 34908184576 38044466784 39271707648 39590989824 40835989504 43871096832 45940488192 50725955712 52362276864 52787986432 58494795776 59386484736 61253984256 65806645248 67634607616 69816369152 76088933568 78543415296 79181979648 81671979008 87742193664 91880976384 101451911424 104724553728 105575972864 116989591552 118772969472 122507968512 131613290496 135269215232 139632738304 152177867136 157086830592 158363959296 175484387328 183761952768 202903822848 209449107456 237545938944 245015937024 263226580992 270538430464 304355734272 314173661184 316727918592 350968774656 367523905536 405807645696 418898214912 475091877888 526453161984 541076860928 608711468544 628347322368 735047811072 811615291392 950183755776 1052906323968 1082153721856 1217422937088 1256694644736 1623230582784 2164307443712 2434845874176 3246461165568 4328614887424 4869691748352 6492922331136 9739383496704 12985844662272 19478766993408 38957533986816
• Sum of all divisors σ(n): 124572124010880
• Sum of proper divisors (its aliquot sum) s(n): 85614590024064
• 38957533986816 is an abundant number, because the sum of its proper divisors (85614590024064) is greater than itself. Its abundance is 46657056037248

Bases of 38957533986816

• Binary: 1000110110111010000001111110011000000000000000₂
• Hexadecimal: 0x236E81F98000
• Base-36: DT4UDVR40

Squares and roots of 38957533986816

• 38957533986816 squared (38957533986816²) is 1517689454333923743661817856
• 38957533986816 cubed (38957533986816³) is 59125438498646063831174102990489697386496
• The square root of 38957533986816 is 6241597.0702069513
• The cube root of 38957533986816 is 33899.8013077973

Scales and comparisons

• 38,957,533,986,816 seconds is equal to 1,238,729 years, 4 weeks, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 38,957,533,986,816 would take you about three million, ninety-six thousand, eight 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 38957533986816 cubic inches would be around 2825 feet tall.

Recreational maths with 38957533986816

• 38957533986816 backwards is 61868933575983
• The number of decimal digits it has is: 14
• The sum of 38957533986816's digits is 81
• More coming soon!