138931871680
138,931,871,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138931871680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138931871680 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 138931871680:
26 × 5 × 72 × 172 × 23 × 31 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 17 × 17 × 23 × 31 × 43)See below for interesting mathematical facts about the number 138931871680 from the Numbermatics database.
Names of 138931871680
- Cardinal: 138931871680 can be written as One hundred thirty-eight billion, nine hundred thirty-one million, eight hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3893187168 × 1011
Factors of 138931871680
Divisors of 138931871680
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 23 28 31 32 34 35 40 43 46 49 56 62 64 68 70 80 85 86 92 98 112 115 119 124 136 140 155 160 161 170 172 184 196 215 217 224 230 238 245 248 272 280 289 301 310 320 322 340 344 368 391 392 430 434 448 460 476 490 496 527 544 560 578 595 602 620 644 680 688 713 731 736 782 784 805 833 860 868 920 952 980 989 992 1054 1085 1088 1120 1127 1156 1190 1204 1240 1288 1333 1360 1376 1426 1445 1462 1472 1505 1519 1564 1568 1610 1666 1720 1736 1840 1904 1955 1960 1978 1984 2023 2107 2108 2170 2240 2254 2312 2380 2408 2480 2576 2635 2666 2720 2737 2752 2852 2890 2924 3010 3038 3128 3136 3220 3332 3440 3472 3565 3655 3680 3689 3808 3910 3920 3956 4046 4165 4214 4216 4340 4508 4624 4760 4816 4945 4960 4991 5117 5152 5270 5332 5440 5474 5635 5704 5780 5848 6020 6076 6256 6440 6647 6664 6665 6880 6923 6944 7130 7310 7360 7378 7595 7616 7820 7840 7912 8092 8330 8428 8432 8680 8959 9016 9248 9331 9520 9632 9890 9920 9982 10115 10234 10304 10535 10540 10664 10948 11270 11408 11560 11696 12040 12121 12152 12427 12512 12880 13294 13328 13330 13685 13760 13846 13888 14161 14260 14620 14756 15190 15640 15680 15824 16184 16660 16813 16856 16864 17360 17918 18032 18445 18496 18662 19040 19159 19264 19780 19964 20230 20468 21070 21080 21328 21896 22540 22661 22816 23120 23392 24080 24242 24304 24854 24955 25024 25585 25760 25823 26588 26656 26660 27370 27692 28322 28520 29240 29512 30380 30659 31280 31648 32368 33235 33320 33626 33712 33728 34615 34720 34937 35819 35836 36064 36890 37324 38080 38318 39560 39928 40460 40936 42140 42160 42656 43792 44795 45080 45322 45632 46240 46529 46655 46784 48160 48461 48484 48608 49708 49910 51170 51520 51646 53176 53312 53320 54740 55384 56644 57040 58480 59024 60605 60760 61318 62135 62560 62713 63296 64736 65317 66470 66640 67252 67424 69230 69440 69874 70805 71638 71672 72128 73780 74648 76636 79120 79856 80920 81872 84065 84280 84320 84847 85312 86989 87584 89590 90160 90644 92480 93058 93310 95795 96320 96922 96968 97216 99416 99820 102340 103292 106352 106640 109480 110768 113288 113305 114080 116960 117691 118048 121210 121520 122636 124270 125120 125426 129115 129472 130634 132940 133280 134504 134848 138460 139748 141610 143276 143344 147560 149296 153272 153295 158240 158627 159712 161840 163744 168130 168560 168640 169694 173978 174685 175168 179095 179180 180320 181288 186116 186620 191590 193844 193936 198832 199640 204680 206057 206584 212704 213280 214613 218960 221536 226576 226610 228160 232645 233920 235382 236096 242305 242420 243040 245272 248540 250852 258230 261268 265880 266560 269008 276920 279496 283220 285821 286552 286688 295120 298592 306544 306590 313565 316480 317254 319424 323680 325703 326585 327488 336260 337120 339388 347956 349370 358190 358360 360640 362576 372232 373240 383180 385237 387688 387872 397664 399280 409360 412114 413168 424235 425408 426560 429226 434945 437920 438991 443072 453152 453220 465290 470764 484610 484840 486080 490544 497080 501704 516460 521203 522536 531760 538016 553840 558992 566440 571642 573104 573376 588455 590240 593929 597184 608923 613088 613180 627130 634508 647360 651406 653170 672520 674240 678776 695912 698740 716380 716720 725152 744464 746480 766360 770474 775376 775744 793135 795328 798560 818720 823837 824228 826336 848470 858452 869890 875840 877982 906304 906440 930580 941528 969220 969680 981088 994160 1003408 1030285 1032920 1042406 1045072 1063520 1073065 1076032 1107680 1110389 1117984 1132880 1143284 1146208 1176910 1180480 1187858 1217846 1226176 1226360 1254260 1269016 1302812 1306340 1345040 1357552 1391824 1397480 1429105 1432760 1433440 1442399 1450304 1488928 1492960 1502291 1532720 1540948 1550752 1586270 1597120 1628515 1637440 1647674 1648456 1652672 1696940 1716904 1739780 1755964 1812880 1861160 1883056 1926185 1938440 1939360 1962176 1988320 2000747 2006816 2060570 2065840 2084812 2090144 2127040 2146130 2194955 2215360 2220778 2235968 2265760 2286568 2292416 2353820 2375716 2435692 2452720 2508520 2538032 2605624 2606015 2612680 2690080 2696659 2715104 2783648 2794960 2858210 2865520 2866880 2884798 2969645 2977856 2985920 3004582 3044615 3065440 3081896 3101504 3172540 3257030 3295348 3296912 3393880 3433808 3479560 3511928 3625760 3648421 3722320 3766112 3852370 3876880 3878720 3976640 4001494 4013632 4119185 4121140 4131680 4169624 4180288 4292260 4389910 4441556 4531520 4573136 4707640 4751432 4871384 4905440 5017040 5076064 5211248 5212030 5225360 5380160 5393318 5430208 5551945 5567296 5589920 5716420 5731040 5769596 5939290 6009164 6089230 6130880 6163792 6345080 6514060 6590696 6593824 6787760 6867616 6959120 7023856 7211995 7251520 7296842 7444640 7511455 7532224 7704740 7753760 8002988 8238370 8242280 8263360 8339248 8584520 8779820 8860451 8883112 9146272 9415280 9502864 9742768 9810880 10003735 10034080 10096793 10152128 10422496 10424060 10450720 10786636 11103890 11179840 11432840 11462080 11539192 11878580 12018328 12178460 12327584 12690160 13028120 13181392 13187648 13483295 13575520 13735232 13918240 14005229 14047712 14423990 14593684 14889280 15022910 15409480 15507520 16005976 16476740 16484560 16678496 17169040 17559640 17720902 17766224 18242105 18292544 18830560 18876613 19005728 19485536 20007470 20068160 20193586 20844992 20848120 20901440 21573272 22207780 22865680 23078384 23757160 24036656 24356920 24655168 25380320 25538947 26056240 26362784 26966590 27151040 27836480 28010458 28095424 28847980 29187368 30045820 30818960 32011952 32953480 32969120 33356992 34338080 35119280 35441804 35532448 36484210 37661120 37753226 38011456 38971072 40014940 40387172 41696240 43146544 44302255 44415560 45731360 46156768 47514320 48073312 48713840 50483965 50760640 51077894 52112480 52725568 53933180 56020916 57695960 58374736 60091640 61637920 62023157 64023904 65906960 65938240 68676160 70026145 70238560 70883608 71064896 72968420 75506452 80029880 80774344 83392480 86293088 88604510 88831120 91462720 92313536 94383065 95028640 96146624 97427680 100967930 102155788 104224960 107866360 112041832 115391920 116749472 120183280 123275840 124046314 127694735 128047808 131813920 140052290 140477120 141767216 145936840 151012904 160059760 161548688 166784960 172586176 177209020 177662240 188766130 190057280 194855360 201935860 204311576 215732720 224083664 230783840 233498944 240366560 248092628 255389470 263627840 280104580 283534432 291873680 302025808 310115785 320119520 323097376 354418040 355324480 377532260 403871720 408623152 431465440 434162099 448167328 461567680 480733120 496185256 510778940 560209160 567068864 583747360 604051616 620231570 640239040 646194752 708836080 755064520 807743440 817246304 862930880 868324198 896334656 992370512 1021557880 1120418320 1167494720 1208103232 1240463140 1417672160 1510129040 1615486880 1634492608 1736648396 1984741024 2043115760 2170810495 2240836640 2480926280 2835344320 3020258080 3230973760 3473296792 3969482048 4086231520 4341620990 4481673280 4961852560 6040516160 6946593584 8172463040 8683241980 9923705120 13893187168 17366483960 19847410240 27786374336 34732967920 69465935840 138931871680
- Sum of all divisors σ(n): 450590570496
- Sum of proper divisors (its aliquot sum) s(n): 311658698816
- 138931871680 is an abundant number, because the sum of its proper divisors (311658698816) is greater than itself. Its abundance is 172726827136
Bases of 138931871680
- Binary: 100000010110001111110000011111110000002
- Hexadecimal: 0x2058FC1FC0
- Base-36: 1RTOG69S
Squares and roots of 138931871680
- 138931871680 squared (1389318716802) is 19302064968507986022400
- 138931871680 cubed (1389318716803) is 2681672013363774755119310405632000
-
The
square root of 138931871680 is 372735.6592546519 -
The
cube root of 138931871680 is 5179.2550182583
Scales and comparisons
How big is 138931871680?- 138,931,871,680 seconds is equal to 4,417 years, 31 weeks, 2 days, 18 hours, 34 minutes, 40 seconds.
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To count from 1 to 138,931,871,680 would take you about eight thousand, eight hundred thirty-five 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 138931871680 cubic inches would be around 431.6 feet tall.
Recreational maths with 138931871680
- 138931871680 backwards is 086178139831
- The number of decimal digits it has is: 12
- The sum of 138931871680's digits is 55
- More coming soon!
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The information we have on file for 138931871680 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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