48864673215700992
48,864,673,215,700,992 is an even composite number composed of five prime numbers multiplied together.
What does the number 48864673215700992 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
48864673215700992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 48864673215700992:
213 × 32 × 13 × 235 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 23 × 23 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 48864673215700992 from the Numbermatics database.
Names of 48864673215700992
- Cardinal: 48864673215700992 can be written as Forty-eight quadrillion, eight hundred sixty-four trillion, six hundred seventy-three billion, two hundred fifteen million, seven hundred thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.8864673215700992 × 1016
Factors of 48864673215700992
Divisors of 48864673215700992
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 89 92 96 104 117 128 138 144 156 178 184 192 207 208 234 256 267 276 288 299 312 356 368 384 414 416 468 512 529 534 552 576 598 624 712 736 768 801 828 832 897 936 1024 1058 1068 1104 1152 1157 1196 1248 1424 1472 1536 1587 1602 1656 1664 1794 1872 2047 2048 2116 2136 2208 2304 2314 2392 2496 2691 2848 2944 3072 3174 3204 3312 3328 3471 3588 3744 4094 4096 4232 4272 4416 4608 4628 4761 4784 4992 5382 5696 5888 6141 6144 6348 6408 6624 6656 6877 6942 7176 7488 7921 8188 8192 8464 8544 8832 9216 9256 9522 9568 9984 10413 10764 11392 11776 12167 12282 12288 12696 12816 13248 13312 13754 13884 14352 14976 15842 16376 16928 17088 17664 18423 18432 18512 19044 19136 19968 20631 20826 21528 22784 23552 23763 24334 24564 24576 25392 25632 26496 26611 26624 27508 27768 28704 29952 31684 32752 33856 34176 35328 36501 36846 36864 37024 38088 38272 39936 41262 41652 43056 45568 47081 47104 47526 48668 49128 50784 51264 52992 53222 53248 55016 55536 57408 59904 61893 63368 65504 67712 68352 70656 71289 73002 73692 73728 74048 76176 76544 79833 79872 82524 83304 86112 91136 94162 94208 95052 97336 98256 101568 102528 102973 105984 106444 106496 109503 110032 111072 114816 119808 123786 126736 131008 135424 136704 141243 141312 142578 146004 147384 148096 152352 153088 158171 159666 159744 165048 166608 172224 182183 182272 188324 188416 190104 194672 196512 203136 205056 205946 211968 212888 219006 220064 222144 229632 239499 239616 247572 253472 262016 270848 273408 279841 282486 282624 285156 292008 294768 296192 304704 306176 308919 316342 319332 319488 330096 333216 344448 364366 364544 376648 380208 389344 393024 406272 410112 411892 423729 423936 425776 438012 440128 444288 459264 474513 478998 479232 495144 506944 524032 541696 546549 546816 559682 564972 565248 570312 584016 589536 592384 609408 612053 612352 617838 632684 638664 660192 666432 688896 728732 729088 753296 760416 778688 786048 812544 820224 823784 839523 847458 847872 851552 876024 880256 888576 918528 926757 949026 957996 958464 990288 1013888 1048064 1082863 1083392 1093098 1093632 1119364 1129944 1140624 1168032 1179072 1184768 1218816 1224106 1224704 1235676 1265368 1277328 1320384 1332864 1377792 1423539 1457464 1506592 1520832 1557376 1572096 1625088 1639647 1640448 1647568 1679046 1694916 1695744 1703104 1752048 1760512 1777152 1836159 1837056 1853514 1898052 1915992 1980576 2027776 2096128 2165726 2166784 2186196 2187264 2238728 2259888 2281248 2336064 2358144 2368379 2369536 2437632 2448212 2449408 2471352 2518569 2530736 2554656 2640768 2665728 2755584 2847078 2914928 3013184 3041664 3114752 3144192 3248589 3250176 3279294 3280896 3295136 3358092 3389832 3406208 3504096 3521024 3554304 3637933 3672318 3674112 3707028 3796104 3831984 3961152 4055552 4190209 4192256 4331452 4333568 4372392 4477456 4519776 4562496 4672128 4716288 4736758 4739072 4875264 4896424 4942704 5037138 5061472 5109312 5281536 5331456 5508477 5511168 5694156 5829856 6026368 6083328 6229504 6288384 6436343 6497178 6500352 6558588 6561792 6590272 6716184 6779664 6812416 7008192 7042048 7105137 7108608 7275866 7344636 7348224 7414056 7592208 7663968 7922304 8111104 8380418 8384512 8662904 8744784 8954912 9039552 9124992 9344256 9432576 9473516 9478144 9745767 9750528 9792848 9885408 10074276 10122944 10218624 10563072 10662912 10913799 11016954 11022336 11388312 11659712 12052736 12166656 12459008 12570627 12576768 12872686 12994356 13000704 13117176 13180544 13432368 13559328 13624832 14016384 14077219 14084096 14210274 14217216 14551732 14689272 14828112 15184416 15327936 15844608 16222208 16760836 16769024 17325808 17489568 17909824 18079104 18249984 18688512 18865152 18947032 19309029 19491534 19501056 19585696 19770816 20148552 20245888 20437248 21126144 21315411 21325824 21827598 22033908 22044672 22776624 23319424 24105472 24333312 24905849 24918016 25141254 25153536 25745372 25988712 26234352 26361088 26864736 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1184253628416 1223574549672 1276773443136 1282941430784 1319810750208 1325539095478 1326186647552 1338721492992 1383171230064 1429794979392 1443309109632 1491959978496 1542250764288 1631432732896 1702364590848 1759747666944 1776380442624 1835361824508 1836258435072 1844228306752 1906393305856 1924412146176 1988308643217 1989279971328 2008082239488 2056334352384 2074756845096 2144692469088 2269819454464 2346330222592 2368507256832 2447149099344 2553546886272 2565882861568 2639621500416 2651078190956 2652373295104 2766342460128 2859589958784 2886618219264 2983919956992 3084501528576 3262865465792 3404729181696 3519495333888 3552760885248 3670723649016 3688456613504 3812786611712 3848824292352 3976617286434 3978559942656 4016164478976 4149513690192 4289384938176 4539638908928 4692660445184 4894298198688 5107093772544 5131765723136 5279243000832 5302156381912 5532684920256 5719179917568 5773236438528 5964925929651 5967839913984 6169003057152 6525730931584 6809458363392 7038990667776 7105521770496 7341447298032 7376913227008 7625573223424 7697648584704 7953234572868 7957119885312 8299027380384 8578769876352 9079277817856 9788596397376 10214187545088 10263531446272 10558486001664 10604312763824 11065369840512 11438359835136 11546472877056 11929851859302 11935679827968 13051461863168 13618916726784 14077981335552 14682894596064 14753826454016 15251146446848 15395297169408 15906469145736 16598054760768 17157539752704 18158555635712 19577192794752 20428375090176 21116972003328 21208625527648 22130739681024 22876719670272 23092945754112 23859703718604 23871359655936 26102923726336 27237833453568 29365789192128 29507652908032 30502292893696 30790594338816 31812938291472 33196109521536 34315079505408 39154385589504 40856750180352 42233944006656 42417251055296 44261479362048 45753439340544 46185891508224 47719407437208 52205847452672 54475666907136 58731578384256 59015305816064 61004585787392 63625876582944 66392219043072 68630159010816 78308771179008 81713500360704 84834502110592 88522958724096 91506878681088 92371783016448 95438814874416 104411694905344 117463156768512 118030611632128 127251753165888 132784438086144 137260318021632 156617542358016 163427000721408 169669004221184 177045917448192 183013757362176 190877629748832 208823389810688 234926313537024 236061223264256 254503506331776 265568876172288 274520636043264 313235084716032 339338008442368 354091834896384 381755259497664 417646779621376 469852627074048 509007012663552 531137752344576 549041272086528 626470169432064 678676016884736 708183669792768 763510518995328 939705254148096 1018014025327104 1062275504689152 1252940338864128 1357352033769472 1527021037990656 1879410508296192 2036028050654208 2124551009378304 2714704067538944 3054042075981312 3758821016592384 4072056101308416 5429408135077888 6108084151962624 8144112202616832 12216168303925248 16288224405233664 24432336607850496 48864673215700992
- Sum of all divisors σ(n): 160729607189524464
- Sum of proper divisors (its aliquot sum) s(n): 111864933973823472
- 48864673215700992 is an abundant number, because the sum of its proper divisors (111864933973823472) is greater than itself. Its abundance is 63000260758122480
Bases of 48864673215700992
- Binary: 101011011001101000101001010100010001011001100000000000002
- Hexadecimal: 0xAD9A2951166000
- Base-36: DD52WZ45J40
Squares and roots of 48864673215700992
- 48864673215700992 squared (488646732157009922) is 2387756288477245926238149949784064
- 48864673215700992 cubed (488646732157009923) is 116676930755175690204989433138692480384244790591488
-
The
square root of 48864673215700992 is 221053552.8230681751 -
The
cube root of 48864673215700992 is 365593.3882448023
Scales and comparisons
How big is 48864673215700992?- 48,864,673,215,700,992 seconds is equal to 1,553,745,459 years, 46 weeks, 5 days, 22 hours, 43 minutes, 12 seconds.
-
To count from 1 to 48,864,673,215,700,992 would take you about four billion, six hundred sixty-one million, two hundred thirty-six thousand, three hundred seventy-nine 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 48864673215700992 cubic inches would be around 30466.1 feet tall.
Recreational maths with 48864673215700992
- 48864673215700992 backwards is 29900751237646884
- The number of decimal digits it has is: 17
- The sum of 48864673215700992's digits is 81
- More coming soon!
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"Number 48864673215700992 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 48864673215700992 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48864673215700992/
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The information we have on file for 48864673215700992 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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