137934003516400
137,934,003,516,400 is an even composite number composed of seven prime numbers multiplied together.
137934003516400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 137934003516400:
24 × 52 × 72 × 132 × 192 × 31 × 612
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 19 × 19 × 31 × 61 × 61)See below for interesting mathematical facts about the number 137934003516400 from the Numbermatics database.
Names of 137934003516400
- Cardinal: 137934003516400 can be written as One hundred thirty-seven trillion, nine hundred thirty-four billion, three million, five hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.379340035164 × 1014
Factors of 137934003516400
Divisors of 137934003516400
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 31 35 38 40 49 50 52 56 61 62 65 70 76 80 91 95 98 100 104 112 122 124 130 133 140 152 155 169 175 182 190 196 200 208 217 244 245 247 248 260 266 280 304 305 310 325 338 350 361 364 380 392 400 403 427 434 455 475 488 490 494 496 520 532 560 589 610 620 637 650 665 676 700 722 728 760 775 784 793 806 845 854 868 910 931 950 976 980 988 1040 1064 1085 1159 1178 1183 1220 1225 1235 1240 1274 1300 1330 1352 1400 1444 1456 1519 1520 1525 1550 1586 1612 1690 1708 1729 1736 1805 1820 1862 1891 1900 1960 1976 2015 2128 2135 2170 2275 2318 2356 2366 2440 2450 2470 2480 2527 2548 2600 2660 2704 2800 2821 2888 2945 2989 3038 3050 3100 3172 3185 3211 3224 3325 3380 3416 3458 3472 3610 3640 3721 3724 3782 3800 3920 3952 3965 4030 4123 4225 4270 4340 4550 4636 4655 4693 4712 4732 4880 4900 4940 5054 5096 5200 5239 5320 5425 5551 5642 5776 5795 5890 5915 5978 6076 6100 6175 6200 6344 6370 6422 6448 6650 6760 6832 6916 7220 7280 7442 7448 7564 7595 7600 7657 7930 8060 8113 8246 8281 8450 8540 8645 8680 9025 9100 9272 9310 9386 9424 9455 9464 9800 9880 10075 10108 10192 10309 10478 10640 10675 10850 11102 11191 11284 11590 11780 11830 11956 12103 12152 12200 12350 12400 12635 12688 12740 12844 13237 13300 13520 13832 14105 14440 14725 14884 14896 14945 15067 15128 15190 15314 15860 15925 16055 16120 16226 16492 16562 16900 17080 17290 17360 17689 18050 18200 18544 18605 18620 18772 18910 18928 19600 19747 19760 19825 20150 20216 20615 20618 20956 21350 21700 22021 22204 22382 22477 22568 23180 23275 23465 23560 23660 23912 24206 24304 24400 24583 24700 25270 25480 25688 26047 26195 26474 26600 27664 27755 28210 28861 28880 28975 29450 29575 29768 29890 30134 30256 30380 30628 31720 31850 32110 32240 32452 32851 32984 33124 33800 34160 34580 35378 35929 36100 36400 36673 37210 37240 37544 37820 37975 38285 38857 39494 39650 40300 40432 40565 41230 41236 41405 41912 42700 43225 43400 44042 44408 44764 44954 45136 46360 46550 46930 47120 47275 47320 47824 48373 48412 49166 49400 50540 50960 51376 51545 52094 52390 52948 53200 53599 55510 55955 56420 56791 57722 57950 58900 59150 59536 59780 60268 60515 60760 61009 61256 63175 63440 63700 64220 64904 65702 65968 66185 66248 67600 69160 70525 70699 70756 71858 72163 72200 73346 74420 74480 74725 75088 75335 75640 75950 76570 77714 78337 78988 79300 80275 80600 81130 82460 82472 82810 83824 85400 86450 86800 88084 88445 88816 89528 89908 92659 92720 93025 93100 93860 94550 94640 96746 96824 98332 98735 98800 99541 101080 103075 103090 104188 104780 105469 105896 107198 110105 111020 111910 112385 112840 113582 115351 115444 115900 117325 117800 118300 119560 120536 121030 121520 122018 122512 122915 126350 127400 128440 129808 130235 130975 131404 132370 132496 138320 138775 141050 141398 141512 143716 144305 144326 144400 145483 146692 148840 149450 150670 151280 151900 153140 154147 155428 156674 157339 157976 158600 160550 161200 162260 164255 164920 164944 165620 170800 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408088767800 424412318512 444948398440 452242634480 453730274725 492621441130 518548885400 530515398140 556185498050 558437261200 562995932720 565303293100 635640569200 663144247675 689670017582 703744915900 725968439560 757879140200 788194305808 816177535600 889896796880 907460549450 985242882260 1037097770800 1061030796280 1112370996100 1130606586200 1231553602825 1326288495350 1379340035164 1407489831800 1451936879120 1515758280400 1724175043955 1814921098900 1970485764520 2122061592560 2224741992200 2261213172400 2463107205650 2652576990700 2758680070328 2814979663600 3448350087910 3629842197800 3940971529040 4449483984400 4926214411300 5305153981400 5517360140656 6896700175820 7259684395600 8620875219775 9852428822600 10610307962800 13793400351640 17241750439550 19704857645200 27586800703280 34483500879100 68967001758200 137934003516400
- Sum of all divisors σ(n): 462339105430176
- Sum of proper divisors (its aliquot sum) s(n): 324405101913776
- 137934003516400 is an abundant number, because the sum of its proper divisors (324405101913776) is greater than itself. Its abundance is 186471098397376
Bases of 137934003516400
- Binary: 111110101110011010000110100100000110011111100002
- Hexadecimal: 0x7D73434833F0
- Base-36: 1CW608CCTS
Squares and roots of 137934003516400
- 137934003516400 squared (1379340035164002) is 19025789326062247565068960000
- 137934003516400 cubed (1379340035164003) is 2624303291803355641805509266448490944000000
-
The
square root of 137934003516400 is 11744530.7916663917 -
The
cube root of 137934003516400 is 51668.2533675867
Scales and comparisons
How big is 137934003516400?- 137,934,003,516,400 seconds is equal to 4,385,874 years, 34 weeks, 46 minutes, 40 seconds.
-
To count from 1 to 137,934,003,516,400 would take you about ten million, nine hundred sixty-four thousand, six hundred eighty-six 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 137934003516400 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137934003516400
- 137934003516400 backwards is 004615300439731
- The number of decimal digits it has is: 15
- The sum of 137934003516400's digits is 46
- More coming soon!
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The information we have on file for 137934003516400 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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