31668137953920
31,668,137,953,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 31668137953920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
31668137953920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 31668137953920:
27 × 32 × 5 × 132 × 1272 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 127 × 127 × 2017)See below for interesting mathematical facts about the number 31668137953920 from the Numbermatics database.
Names of 31668137953920
- Cardinal: 31668137953920 can be written as Thirty-one trillion, six hundred sixty-eight billion, one hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.166813795392 × 1013
Factors of 31668137953920
Divisors of 31668137953920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 127 128 130 144 156 160 169 180 192 195 208 234 240 254 260 288 312 320 338 360 381 384 390 416 468 480 507 508 520 576 585 624 635 640 676 720 762 780 832 845 936 960 1014 1016 1040 1143 1152 1170 1248 1270 1352 1440 1521 1524 1560 1651 1664 1690 1872 1905 1920 2017 2028 2032 2080 2286 2340 2496 2535 2540 2704 2880 3042 3048 3120 3302 3380 3744 3810 4034 4056 4064 4160 4572 4680 4953 4992 5070 5080 5408 5715 5760 6051 6084 6096 6240 6604 6760 7488 7605 7620 8068 8112 8128 8255 8320 9144 9360 9906 10085 10140 10160 10816 11430 12102 12168 12192 12480 13208 13520 14859 14976 15210 15240 16129 16136 16224 16256 16510 18153 18288 18720 19812 20170 20280 20320 21463 21632 22860 24204 24336 24384 24765 24960 26221 26416 27040 29718 30255 30420 30480 32258 32272 32448 33020 36306 36576 37440 39624 40340 40560 40640 42926 45720 48387 48408 48672 48768 49530 52442 52832 54080 59436 60510 60840 60960 64389 64516 64544 64896 66040 72612 73152 74295 74880 78663 79248 80645 80680 81120 81280 85852 90765 91440 96774 96816 97344 99060 104884 105664 107315 108160 118872 121020 121680 121920 128778 129032 129088 131105 132080 145161 145224 146304 148590 157326 158496 161290 161360 162240 171704 181530 182880 193167 193548 193632 194688 198120 209677 209768 211328 214630 235989 237744 241935 242040 243360 243840 256159 257556 258064 258176 262210 264160 290322 290448 297180 314652 316992 321945 322580 322720 324480 340873 343408 363060 365760 386334 387096 387264 393315 396240 419354 419536 429260 471978 475488 483870 484080 486720 512318 515112 516128 524420 528320 580644 580896 594360 629031 629304 633984 643890 645160 645440 681746 686816 725805 726120 731520 768477 772668 774192 774528 786630 792480 838708 839072 858520 943956 950976 965835 967740 968160 973440 1022619 1024636 1030224 1032256 1048385 1048840 1056640 1161288 1161792 1179945 1188720 1258062 1258608 1280795 1287780 1290320 1290880 1363492 1373632 1451610 1452240 1536954 1545336 1548384 1573260 1584960 1677416 1678144 1704365 1717040 1887093 1887912 1901952 1931670 1935480 1936320 2045238 2049272 2060448 2064512 2096770 2097680 2305431 2322576 2323584 2359890 2377440 2516124 2517216 2561590 2575560 2580640 2725801 2726984 2747264 2903220 2904480 3067857 3073908 3090672 3096768 3145155 3146520 3169920 3330067 3354832 3356288 3408730 3434080 3774186 3775824 3842385 3863340 3870960 3872640 4090476 4098544 4120896 4193540 4195360 4610862 4645152 4719780 4754880 5032248 5034432 5113095 5123180 5151120 5161280 5451602 5453968 5806440 5808960 6135714 6147816 6181344 6193536 6290310 6293040 6660134 6709664 6817460 6868160 7548372 7551648 7684770 7726680 7741920 8177403 8180952 8197088 8241792 8387080 8390720 9221724 9290304 9435465 9439560 9509760 9990201 10064496 10068864 10226190 10246360 10302240 10322560 10903204 10907936 11527155 11612880 11617920 12271428 12295632 12362688 12580620 12586080 13320268 13419328 13629005 13634920 13736320 15096744 15103296 15339285 15369540 15453360 15483840 16354806 16361904 16394176 16650335 16774160 16781440 18443448 18580608 18870930 18879120 19980402 20128992 20452380 20492720 20604480 21806408 21815872 23054310 23225760 24532209 24542856 24591264 24725376 25161240 25172160 26640536 26838656 27258010 27269840 29970603 30193488 30206592 30678570 30739080 30906720 30967680 32532193 32709612 32723808 32788352 33300670 33548320 36886896 37741860 37758240 39960804 40257984 40887015 40904760 40985440 41208960 43290871 43612816 43631744 46108620 46451520 49064418 49085712 49182528 49951005 50322480 50344320 53281072 54516020 54539680 59941206 60386976 61357140 61478160 61813440 65064386 65419224 65447616 66601340 67096640 73773792 75483720 75516480 79921608 80515968 81774030 81809520 81970880 86581742 87225632 92217240 92903040 97596579 98128836 98171424 98365056 99902010 100644960 106562144 109032040 109079360 119882412 120773952 122661045 122714280 122956320 123626880 129872613 130128772 130838448 130895232 133202680 134193280 147547584 149853015 150967440 151032960 159843216 162660965 163548060 163619040 163941760 173163484 174451264 184434480 195193158 196257672 196342848 199804020 201289920 213124288 216454355 218064080 218158720 239764824 241547904 245322090 245428560 245912640 259745226 260257544 261676896 266405360 292789737 295095168 299706030 301934880 319686432 325321930 327096120 327238080 346326968 348902528 368868960 389617839 390386316 392515344 392685696 399608040 402579840 422918509 426248576 432908710 436128160 479529648 487982895 490644180 490857120 491825280 519490452 520515088 523353792 532810720 585579474 599412060 603869760 639372864 649363065 650643860 654192240 654476160 692653936 737737920 779235678 780772632 785030688 799216080 845837018 865817420 872256320 959059296 975965790 981288360 981714240 1038980904 1041030176 1046707584 1065621440 1171158948 1198824120 1207739520 1268755527 1278745728 1298726130 1301287720 1308384480 1385307872 1463948685 1475475840 1558471356 1561545264 1570061376 1598432160 1691674036 1731634840 1744512640 1918118592 1948089195 1951931580 1962576720 1963428480 2077961808 2082060352 2114592545 2131242880 2342317896 2397648240 2537511054 2597452260 2602575440 2616768960 2770615744 2927897370 3116942712 3123090528 3140122752 3196864320 3383348072 3463269680 3806266581 3836237184 3896178390 3903863160 3925153440 4155923616 4164120704 4229185090 4684635792 4795296480 5075022108 5194904520 5205150880 5233537920 5497940617 5541231488 5855794740 6233885424 6246181056 6343777635 6393728640 6766696144 6926539360 7612533162 7792356780 7807726320 7850306880 8311847232 8458370180 9369271584 9590592960 10150044216 10389809040 10410301760 10995881234 11711589480 12467770848 12492362112 12687555270 13533392288 13853078720 15225066324 15584713560 15615452640 15700613760 16493821851 16623694464 16916740360 18738543168 19031332905 19181185920 20300088432 20779618080 20820603520 21991762468 23423178960 24935541696 25375110540 27066784576 27489703085 27706157440 30450132648 31169427120 31230905280 32987643702 33833480720 37477086336 38062665810 40600176864 41559236160 43983524936 46846357920 49481465553 49871083392 50750221080 54133569152 54979406170 60900265296 62338854240 62461810560 65975287404 67666961440 76125331620 81200353728 82469109255 83118472320 87967049872 93692715840 98962931106 101500442160 109958812340 121800530592 124677708480 131950574808 135333922880 152250663240 162400707456 164938218510 175934099744 187385431680 197925862212 203000884320 219917624680 243601061184 247407327765 249355416960 263901149616 270667845760 304501326480 329876437020 351868199488 395851724424 406001768640 439835249360 487202122368 494814655530 527802299232 609002652960 659752874040 703736398976 791703448848 812003537280 879670498720 989629311060 1055604598464 1218005305920 1319505748080 1583406897696 1759340997440 1979258622120 2111209196928 2436010611840 2639011496160 3166813795392 3518681994880 3958517244240 5278022992320 6333627590784 7917034488480 10556045984640 15834068976960 31668137953920
- Sum of all divisors σ(n): 119411853778620
- Sum of proper divisors (its aliquot sum) s(n): 87743715824700
- 31668137953920 is an abundant number, because the sum of its proper divisors (87743715824700) is greater than itself. Its abundance is 56075577870780
Bases of 31668137953920
- Binary: 1110011001101010100000001110100001010100000002
- Hexadecimal: 0x1CCD501D0A80
- Base-36: B8453OV40
Squares and roots of 31668137953920
- 31668137953920 squared (316681379539202) is 1002870961468508404043366400
- 31668137953920 cubed (316681379539203) is 31759055957765112888936217881444876288000
-
The
square root of 31668137953920 is 5627445.0644959653 -
The
cube root of 31668137953920 is 31637.8898283321
Scales and comparisons
How big is 31668137953920?- 31,668,137,953,920 seconds is equal to 1,006,948 years, 43 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 31,668,137,953,920 would take you about two million, five hundred seventeen thousand, three hundred seventy-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 31668137953920 cubic inches would be around 2636.5 feet tall.
Recreational maths with 31668137953920
- 31668137953920 backwards is 02935973186613
- The number of decimal digits it has is: 14
- The sum of 31668137953920's digits is 63
- More coming soon!
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The information we have on file for 31668137953920 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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