31137428091840
31,137,428,091,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31137428091840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
31137428091840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 31137428091840:
26 × 3 × 5 × 72 × 292 × 281 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 29 × 29 × 281 × 2801)See below for interesting mathematical facts about the number 31137428091840 from the Numbermatics database.
Names of 31137428091840
- Cardinal: 31137428091840 can be written as Thirty-one trillion, one hundred thirty-seven billion, four hundred twenty-eight million, ninety-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 3.113742809184 × 1013
Factors of 31137428091840
Divisors of 31137428091840
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 49 56 58 60 64 70 80 84 87 96 98 105 112 116 120 140 145 147 160 168 174 192 196 203 210 224 232 240 245 280 281 290 294 320 336 348 392 406 420 435 448 464 480 490 560 562 580 588 609 672 696 735 784 812 840 841 843 870 928 960 980 1015 1120 1124 1160 1176 1218 1344 1392 1405 1421 1470 1568 1624 1680 1682 1686 1740 1856 1960 1967 2030 2240 2248 2320 2352 2436 2523 2784 2801 2810 2842 2940 3045 3136 3248 3360 3364 3372 3480 3920 3934 4060 4205 4215 4263 4496 4640 4704 4872 5046 5568 5602 5620 5684 5880 5887 5901 6090 6496 6720 6728 6744 6960 7105 7840 7868 8120 8149 8403 8410 8430 8526 8992 9280 9408 9744 9835 10092 11204 11240 11368 11760 11774 11802 12180 12615 12992 13456 13488 13769 13920 14005 14210 15680 15736 16240 16298 16806 16820 16860 17052 17661 17984 19488 19607 19670 20184 21315 22408 22480 22736 23520 23548 23604 24360 24447 25230 26912 26976 27538 27840 28010 28420 29435 29505 31472 32480 32596 33612 33640 33720 34104 35322 38976 39214 39340 40368 40745 41209 41307 42015 42630 44816 44960 45472 47040 47096 47208 48720 48894 50460 53824 53952 55076 56020 56840 57043 58821 58870 59010 62944 64960 65192 67224 67280 67440 68208 68845 70644 78428 78680 80736 81229 81490 82418 82614 84030 85260 88305 89632 89920 90944 94192 94416 97440 97788 98035 100920 110152 112040 113680 114086 117642 117740 118020 122235 123627 125888 130384 134448 134560 134880 136416 137249 137690 141288 156856 157360 161472 162458 162980 164836 165228 168060 170520 171129 176610 179264 188384 188832 194880 195576 196070 201840 206045 206535 220304 224080 227360 228172 235284 235480 236040 236321 243687 244470 247254 260768 268896 269120 269760 272832 274498 275380 282576 285215 294105 313712 314720 324916 325960 329672 330456 336120 341040 342258 353220 376768 377664 391152 392140 399301 403680 406145 411747 412090 413070 440608 448160 454720 456344 470568 470960 472080 472642 487374 488940 494508 521536 537792 548996 550760 565152 568603 570430 588210 618135 627424 629440 649832 651920 659344 660912 672240 682080 684516 686245 706440 708963 782304 784280 787081 798602 807360 812290 823494 824180 826140 855645 881216 896320 912688 941136 941920 944160 945284 974748 977880 989016 1097992 1101520 1130304 1137206 1140860 1176420 1181605 1197903 1218435 1236270 1254848 1299664 1303840 1318688 1321824 1344480 1364160 1369032 1372490 1412880 1417926 1564608 1568560 1574162 1597204 1624580 1646988 1648360 1652280 1654247 1705809 1711290 1825376 1882272 1883840 1888320 1890568 1949496 1955760 1978032 1996505 2058735 2195984 2203040 2274412 2281720 2352840 2355641 2361243 2363210 2395806 2436870 2472540 2599328 2607680 2637376 2643648 2688960 2738064 2744980 2825760 2835852 2843015 3137120 3148324 3194408 3249160 3293976 3296720 3304560 3308494 3411618 3422580 3544815 3650752 3764544 3781136 3898992 3911520 3935405 3956064 3980221 3993010 4117470 4391968 4406080 4548824 4563440 4705680 4711282 4722486 4726420 4791612 4873740 4945080 4962741 5198656 5476128 5489960 5509567 5651520 5671704 5686030 5989515 6274240 6296648 6388816 6498320 6587952 6593440 6609120 6616988 6823236 6845160 7066923 7089630 7562272 7797984 7823040 7870810 7912128 7960442 7986020 8234940 8271235 8529045 8783936 9097648 9126880 9411360 9422564 9444972 9452840 9583224 9747480 9890160 9925482 10952256 10979920 11019134 11343408 11372060 11579729 11778205 11806215 11940663 11979030 12593296 12777632 12996640 13175904 13186880 13218240 13233976 13646472 13690320 14133846 14179260 15124544 15595968 15741620 15920884 15972040 16469880 16489487 16528701 16542470 17058090 18195296 18253760 18822720 18845128 18889944 18905680 19166448 19494960 19780320 19850964 19901105 21959840 22038268 22686816 22744120 22825349 23159458 23556410 23612430 23881326 23958060 24813705 25186592 25555264 25993280 26351808 26467952 27292944 27380640 27547835 28267692 28358520 31483240 31841768 31944080 32939760 32978974 33057402 33084940 34116180 34739187 35334615 36390592 37690256 37779888 37811360 38332896 38566969 38989920 39560640 39701928 39802210 43919680 44076536 45373632 45488240 45650698 46318916 47112820 47224860 47762652 47916120 49468461 49627410 50373184 52935904 54585888 54761280 55095670 56535384 56717040 57898645 59703315 62966480 63683536 63888160 65879520 65957948 66114804 66169880 68232360 68476047 69478374 70669230 75380512 75559776 75622720 76665792 77133938 77979840 79403856 79604420 82447435 82643505 88153072 90976480 91301396 92637832 94225640 94449720 95525304 95832240 98936922 99254820 105871808 109171776 110191340 113070768 113434080 114126745 115426409 115700907 115797290 119406630 125932960 127367072 127776320 131759040 131915896 132229608 132339760 136464720 136952094 138956748 141338460 150761024 151119552 154267876 158807712 159208840 159777443 164894870 165287010 173695935 176306144 181952960 182602792 185275664 188451280 188899440 191050608 191664480 192834845 197873844 198509640 220382680 226141536 226868160 228253490 230852818 231401814 231594580 238813260 247342305 251865920 254734144 263831792 264459216 264679520 272929440 273904188 277913496 282676920 308535752 317615424 318417680 319554886 329789740 330574020 342380235 346279227 347391870 352612288 365205584 370551328 376902560 377798880 382101216 383328960 385669690 395747688 397019280 440765360 452283072 456506980 461705636 462803628 463189160 477626520 479332329 494684610 527663584 528918432 529359040 545858880 547808376 555826992 565353840 577132045 578504535 617071504 636835360 639109772 659579480 661148040 661935121 684760470 692558454 694783740 730411168 741102656 753805120 755597760 764202432 771339380 791495376 794038560 798887215 881530720 913013960 923411272 925607256 926378320 955253040 958664658 989369220 1055327168 1057836864 1095616752 1111653984 1118442101 1130707680 1154264090 1157009070 1234143008 1273670720 1278219544 1319158960 1322296080 1323870242 1369520940 1385116908 1389567480 1460822336 1542678760 1582990752 1588077120 1597774430 1731396135 1763061440 1826027920 1846822544 1851214512 1852756640 1910506080 1917329316 1978738440 1985805363 2191233504 2223307968 2236884202 2261415360 2308528180 2314018140 2396661645 2468286016 2556439088 2638317920 2644592160 2647740484 2739041880 2770233816 2779134960 3085357520 3165981504 3195548860 3309675605 3355326303 3462792270 3652055840 3693645088 3702429024 3705513280 3821012160 3834658632 3957476880 3971610726 4382467008 4473768404 4617056360 4628036280 4633545847 4793323290 5112878176 5276635840 5289184320 5295480968 5478083760 5540467632 5558269920 5592210505 6170715040 6391097720 6619351210 6710652606 6925584540 7304111680 7387290176 7404858048 7669317264 7914953760 7943221452 8947536808 9234112720 9256072560 9267091694 9586646580 9929026815 10225756352 10590961936 10956167520 11080935264 11116539840 11184421010 12341430080 12782195440 13238702420 13421305212 13851169080 13900637541 15338634528 15829907520 15886442904 16776631515 17895073616 18468225440 18512145120 18534183388 19173293160 19858053630 21181923872 21912335040 22161870528 22368842020 23167729235 25564390880 26477404840 26842610424 27702338160 27801275082 30677269056 31772885808 32434820929 33553263030 35790147232 36936450880 37024290240 37068366776 38346586320 39716107260 42363847744 44737684040 46335458470 51128781760 52954809680 53685220848 55404676320 55602550164 63545771616 64869641858 67106526060 69503187705 71580294464 74136733552 76693172640 79432214520 89475368080 92670916940 97304462787 105909619360 107370441696 110809352640 111205100328 127091543232 129739283716 134213052120 139006375410 148273467104 153386345280 158864429040 162174104645 178950736160 185341833880 194608925574 211819238720 214740883392 222410200656 259478567432 268426104240 278012750820 296546934208 317728858080 324348209290 357901472320 370683667760 389217851148 444820401312 486522313935 518957134864 536852208480 556025501640 635457716160 648696418580 741367335520 778435702296 889640802624 973044627870 1037914269728 1073704416960 1112051003280 1297392837160 1482734671040 1556871404592 1946089255740 2075828539456 2224102006560 2594785674320 3113742809184 3892178511480 4448204013120 5189571348640 6227485618368 7784357022960 10379142697280 15568714045920 31137428091840
- Sum of all divisors σ(n): 119570821385184
- Sum of proper divisors (its aliquot sum) s(n): 88433393293344
- 31137428091840 is an abundant number, because the sum of its proper divisors (88433393293344) is greater than itself. Its abundance is 57295965201504
Bases of 31137428091840
- Binary: 1110001010001101111110101011100110011110000002
- Hexadecimal: 0x1C51BF5733C0
- Base-36: B1CC4QOQO
Squares and roots of 31137428091840
- 31137428091840 squared (311374280918402) is 969539428174506783474585600
- 31137428091840 cubed (311374280918403) is 30188964226987377489498201944142741504000
-
The
square root of 31137428091840 is 5580092.1221642927 -
The
cube root of 31137428091840 is 31460.1589499805
Scales and comparisons
How big is 31137428091840?- 31,137,428,091,840 seconds is equal to 990,073 years, 46 weeks, 5 days, 5 hours, 4 minutes.
-
To count from 1 to 31,137,428,091,840 would take you about two million, four hundred seventy-five thousand, one 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 31137428091840 cubic inches would be around 2621.7 feet tall.
Recreational maths with 31137428091840
- 31137428091840 backwards is 04819082473113
- The number of decimal digits it has is: 14
- The sum of 31137428091840's digits is 51
- More coming soon!
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The information we have on file for 31137428091840 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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