31442372827914240
31,442,372,827,914,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31442372827914240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
31442372827914240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 31442372827914240:
213 × 32 × 5 × 19 × 31 × 61 × 2373929
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 31 × 61 × 2373929)See below for interesting mathematical facts about the number 31442372827914240 from the Numbermatics database.
Names of 31442372827914240
- Cardinal: 31442372827914240 can be written as Thirty-one quadrillion, four hundred forty-two trillion, three hundred seventy-two billion, eight hundred twenty-seven million, nine hundred fourteen thousand, two hundred forty.
Scientific notation
- Scientific notation: 3.144237282791424 × 1016
Factors of 31442372827914240
Divisors of 31442372827914240
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 31 32 36 38 40 45 48 57 60 61 62 64 72 76 80 90 93 95 96 114 120 122 124 128 144 152 155 160 171 180 183 186 190 192 228 240 244 248 256 279 285 288 304 305 310 320 342 360 366 372 380 384 456 465 480 488 496 512 549 558 570 576 589 608 610 620 640 684 720 732 744 760 768 855 912 915 930 960 976 992 1024 1098 1116 1140 1152 1159 1178 1216 1220 1240 1280 1368 1395 1440 1464 1488 1520 1536 1710 1767 1824 1830 1860 1891 1920 1952 1984 2048 2196 2232 2280 2304 2318 2356 2432 2440 2480 2560 2736 2745 2790 2880 2928 2945 2976 3040 3072 3420 3477 3534 3648 3660 3720 3782 3840 3904 3968 4096 4392 4464 4560 4608 4636 4712 4864 4880 4960 5120 5301 5472 5490 5580 5673 5760 5795 5856 5890 5952 6080 6144 6840 6954 7068 7296 7320 7440 7564 7680 7808 7936 8192 8784 8835 8928 9120 9216 9272 9424 9455 9728 9760 9920 10240 10431 10602 10944 10980 11160 11346 11520 11590 11712 11780 11904 12160 12288 13680 13908 14136 14592 14640 14880 15128 15360 15616 15872 17019 17385 17568 17670 17856 18240 18432 18544 18848 18910 19456 19520 19840 20480 20862 21204 21888 21960 22320 22692 23040 23180 23424 23560 23808 24320 24576 26505 27360 27816 28272 28365 29184 29280 29760 30256 30720 31232 31744 34038 34770 35136 35340 35712 35929 36480 36864 37088 37696 37820 38912 39040 39680 40960 41724 42408 43776 43920 44640 45384 46080 46360 46848 47120 47616 48640 52155 53010 54720 55632 56544 56730 58368 58560 59520 60512 61440 62464 63488 68076 69540 70272 70680 71424 71858 72960 73728 74176 75392 75640 77824 78080 79360 83448 84816 85095 87552 87840 89280 90768 92160 92720 93696 94240 95232 97280 104310 106020 107787 109440 111264 113088 113460 116736 117120 119040 121024 122880 124928 126976 136152 139080 140544 141360 142848 143716 145920 148352 150784 151280 155648 156160 158720 166896 169632 170190 175104 175680 178560 179645 181536 184320 185440 187392 188480 190464 194560 208620 212040 215574 218880 222528 226176 226920 233472 234240 238080 242048 249856 253952 272304 278160 281088 282720 285696 287432 291840 296704 301568 302560 312320 317440 323361 333792 339264 340380 350208 351360 357120 359290 363072 368640 370880 374784 376960 380928 389120 417240 424080 431148 437760 445056 452352 453840 466944 468480 476160 484096 499712 538935 544608 556320 562176 565440 571392 574864 583680 593408 603136 605120 624640 634880 646722 667584 678528 680760 700416 702720 714240 718580 726144 741760 749568 753920 761856 778240 834480 848160 862296 875520 890112 904704 907680 936960 952320 968192 1077870 1089216 1112640 1124352 1130880 1142784 1149728 1167360 1186816 1206272 1210240 1249280 1269760 1293444 1335168 1357056 1361520 1400832 1405440 1428480 1437160 1452288 1483520 1499136 1507840 1616805 1668960 1696320 1724592 1751040 1780224 1809408 1815360 1873920 1904640 1936384 2155740 2178432 2225280 2248704 2261760 2285568 2299456 2334720 2373632 2373929 2412544 2420480 2498560 2586888 2670336 2714112 2723040 2810880 2856960 2874320 2904576 2967040 3015680 3233610 3337920 3392640 3449184 3502080 3560448 3618816 3630720 3747840 3809280 3872768 4311480 4356864 4450560 4497408 4523520 4598912 4747264 4747858 4825088 4840960 5173776 5340672 5428224 5446080 5621760 5713920 5748640 5809152 5934080 6031360 6467220 6675840 6785280 6898368 7004160 7120896 7121787 7237632 7261440 7495680 7745536 8622960 8713728 8901120 9047040 9197824 9494528 9495716 9681920 10347552 10681344 10856448 10892160 11243520 11427840 11497280 11618304 11868160 11869645 12062720 12934440 13351680 13570560 13796736 14241792 14243574 14475264 14522880 15491072 17245920 17427456 17802240 18094080 18395648 18991432 19363840 20695104 21362688 21365361 21712896 21784320 22487040 22994560 23236608 23736320 23739290 24125440 25868880 26703360 27141120 27593472 28483584 28487148 29045760 34491840 34854912 35604480 35608935 36188160 36791296 37982864 38727680 41390208 42725376 42730722 43425792 43568640 45104651 45989120 46473216 47472640 47478580 51737760 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67618006081536 68952571991040 81881179239360 82743086389248 84522507601920 85908122480640 87339924521984 91936762654720 98257415087232 101427009122304 103089746976768 103428857986560 109174905652480 110324115185664 112696676802560 122821768859040 126783761402880 128862183720960 131009886782976 137905143982080 163762358478720 165486172778496 169045015203840 171816244961280 174679849043968 183873525309440 196514830174464 202854018244608 206857715973120 218349811304960 245643537718080 253567522805760 257724367441920 262019773565952 275810287964160 327524716957440 330972345556992 338090030407680 349359698087936 393029660348928 413715431946240 436699622609920 491287075436160 507135045611520 515448734883840 524039547131904 551620575928320 655049433914880 698719396175872 786059320697856 827430863892480 873399245219840 982574150872320 1014270091223040 1048079094263808 1310098867829760 1572118641395712 1654861727784960 1746798490439680 1965148301744640 2096158188527616 2620197735659520 3144237282791424 3493596980879360 3930296603489280 5240395471319040 6288474565582848 7860593206978560 10480790942638080 15721186413957120 31442372827914240
- Sum of all divisors σ(n): 120372590296857600
- Sum of proper divisors (its aliquot sum) s(n): 88930217468943360
- 31442372827914240 is an abundant number, because the sum of its proper divisors (88930217468943360) is greater than itself. Its abundance is 57487844641029120
Bases of 31442372827914240
- Binary: 11011111011010010101011111001110100110110100000000000002
- Hexadecimal: 0x6FB4ABE74DA000
- Base-36: 8LLE2O3QBK0
Squares and roots of 31442372827914240
- 31442372827914240 squared (314423728279142402) is 988622809049559721796548794777600
- 31442372827914240 cubed (314423728279142403) is 31084646948316124809874954927350086518412673024000
-
The
square root of 31442372827914240 is 177319973.0090049387 -
The
cube root of 31442372827914240 is 315625.2729330849
Scales and comparisons
How big is 31442372827914240?- 31,442,372,827,914,240 seconds is equal to 999,770,198 years, 14 weeks, 4 days, 22 hours, 24 minutes.
-
To count from 1 to 31,442,372,827,914,240 would take you about two billion, nine hundred ninety-nine million, three hundred ten thousand, five hundred ninety-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 31442372827914240 cubic inches would be around 26302.1 feet tall.
Recreational maths with 31442372827914240
- 31442372827914240 backwards is 04241972827324413
- The number of decimal digits it has is: 17
- The sum of 31442372827914240's digits is 63
- More coming soon!
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"Number 31442372827914240 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 31442372827914240 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/31442372827914240/
Chicago style:
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The information we have on file for 31442372827914240 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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