31397828768640
31,397,828,768,640 is an even composite number composed of six prime numbers multiplied together.
31397828768640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 31397828768640:
27 × 32 × 5 × 37 × 281 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 281 × 524287)See below for interesting mathematical facts about the number 31397828768640 from the Numbermatics database.
Names of 31397828768640
- Cardinal: 31397828768640 can be written as Thirty-one trillion, three hundred ninety-seven billion, eight hundred twenty-eight million, seven hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.139782876864 × 1013
Factors of 31397828768640
Divisors of 31397828768640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 281 288 296 320 333 360 370 384 444 480 555 562 576 592 640 666 720 740 843 888 960 1110 1124 1152 1184 1332 1405 1440 1480 1665 1686 1776 1920 2220 2248 2368 2529 2664 2810 2880 2960 3330 3372 3552 4215 4440 4496 4736 5058 5328 5620 5760 5920 6660 6744 7104 8430 8880 8992 10116 10397 10656 11240 11840 12645 13320 13488 14208 16860 17760 17984 20232 20794 21312 22480 23680 25290 26640 26976 31191 33720 35520 35968 40464 41588 42624 44960 50580 51985 53280 53952 62382 67440 71040 80928 83176 89920 93573 101160 103970 106560 107904 124764 134880 155955 161856 166352 179840 187146 202320 207940 213120 249528 269760 311910 323712 332704 374292 404640 415880 467865 499056 524287 539520 623820 665408 748584 809280 831760 935730 998112 1048574 1247640 1330816 1497168 1572861 1618560 1663520 1871460 1996224 2097148 2495280 2621435 2994336 3145722 3327040 3742920 3992448 4194296 4718583 4990560 5242870 5988672 6291444 6654080 7485840 7864305 8388592 9437166 9981120 10485740 11977344 12582888 14971680 15728610 16777184 18874332 19398619 19962240 20971480 23592915 25165776 29943360 31457220 33554368 37748664 38797238 41942960 47185830 50331552 58195857 59886720 62914440 67108736 75497328 77594476 83885920 94371660 96993095 100663104 116391714 125828880 147324647 150994656 155188952 167771840 174587571 188743320 193986190 201326208 232783428 251657760 290979285 294649294 301989312 310377904 335543680 349175142 377486640 387972380 441973941 465566856 503315520 581958570 589298588 603978624 620755808 698350284 736623235 754973280 775944760 872937855 883947882 931133712 1006631040 1163917140 1178597176 1241511616 1325921823 1396700568 1473246470 1509946560 1551889520 1745875710 1767895764 1862267424 2209869705 2327834280 2357194352 2483023232 2651843646 2793401136 2946492940 3019893120 3103779040 3491751420 3535791528 3724534848 4419739410 4655668560 4714388704 5303687292 5451011939 5586802272 5892985880 6207558080 6629609115 6983502840 7071583056 7449069696 8839478820 9311337120 9428777408 10607374584 10902023878 11173604544 11785971760 12415116160 13259218230 13967005680 14143166112 16353035817 17678957640 18622674240 18857554816 21214749168 21804047756 22347209088 23571943520 26518436460 27255059695 27934011360 28286332224 32706071634 35357915280 37245348480 42429498336 43608095512 47143887040 49059107451 53036872920 54510119390 55868022720 56572664448 65412143268 70715830560 81765179085 84858996672 87216191024 94287774080 98118214902 106073745840 109020238780 111736045440 130824286536 141431661120 163530358170 169717993344 174432382048 196236429804 212147491680 218040477560 245295537255 261648573072 282863322240 327060716340 348864764096 392472859608 424294983360 436080955120 490591074510 523297146144 654121432680 697729528192 784945719216 848589966720 872161910240 981182149020 1046594292288 1308242865360 1569891438432 1744323820480 1962364298040 2093188584576 2616485730720 3139782876864 3488647640960 3924728596080 5232971461440 6279565753728 7849457192160 10465942922880 15698914384320 31397828768640
- Sum of all divisors σ(n): 111747394437120
- Sum of proper divisors (its aliquot sum) s(n): 80349565668480
- 31397828768640 is an abundant number, because the sum of its proper divisors (80349565668480) is greater than itself. Its abundance is 48951736899840
Bases of 31397828768640
- Binary: 1110010001110011000000110111000110011100000002
- Hexadecimal: 0x1C8E606E3380
- Base-36: B4NYOKWW0
Squares and roots of 31397828768640
- 31397828768640 squared (313978287686402) is 985823651384837618647449600
- 31397828768640 cubed (313978287686403) is 30952722202256584758663802376644460544000
-
The
square root of 31397828768640 is 5603376.5506737097 -
The
cube root of 31397828768640 is 31547.6154890387
Scales and comparisons
How big is 31397828768640?- 31,397,828,768,640 seconds is equal to 998,353 years, 43 weeks, 2 days, 22 hours, 24 minutes.
-
To count from 1 to 31,397,828,768,640 would take you about two million, four hundred ninety-five thousand, eight hundred 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 31397828768640 cubic inches would be around 2629 feet tall.
Recreational maths with 31397828768640
- 31397828768640 backwards is 04686782879313
- 31397828768640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31397828768640's digits is 72
- More coming soon!
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