137984090400
137,984,090,400 is an even composite number composed of six prime numbers multiplied together.
137984090400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137984090400:
25 × 32 × 52 × 13 × 172 × 5101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 17 × 17 × 5101)See below for interesting mathematical facts about the number 137984090400 from the Numbermatics database.
Names of 137984090400
- Cardinal: 137984090400 can be written as One hundred thirty-seven billion, nine hundred eighty-four million, ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.379840904 × 1011
Factors of 137984090400
Divisors of 137984090400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 65 68 72 75 78 80 85 90 96 100 102 104 117 120 130 136 144 150 153 156 160 170 180 195 200 204 208 221 225 234 240 255 260 272 288 289 300 306 312 325 340 360 390 400 408 416 425 442 450 468 480 510 520 544 578 585 600 612 624 650 663 680 720 765 780 800 816 850 867 884 900 936 975 1020 1040 1105 1156 1170 1200 1224 1248 1275 1300 1326 1360 1440 1445 1530 1560 1632 1700 1734 1768 1800 1872 1950 1989 2040 2080 2210 2312 2340 2400 2448 2550 2600 2601 2652 2720 2890 2925 3060 3120 3315 3400 3468 3536 3600 3744 3757 3825 3900 3978 4080 4335 4420 4624 4680 4896 5100 5101 5200 5202 5304 5525 5780 5850 6120 6240 6630 6800 6936 7072 7200 7225 7514 7650 7800 7956 8160 8670 8840 9248 9360 9945 10200 10202 10400 10404 10608 11050 11271 11560 11700 12240 13005 13260 13600 13872 14450 15028 15300 15303 15600 15912 16575 17340 17680 18720 18785 19890 20400 20404 20808 21216 21675 22100 22542 23120 23400 24480 25505 26010 26520 27744 28900 30056 30600 30606 31200 31824 33150 33813 34680 35360 37570 39780 40800 40808 41616 43350 44200 45084 45909 46240 46800 49725 51010 52020 53040 56355 57800 60112 61200 61212 63648 65025 66300 66313 67626 69360 75140 76515 79560 81616 83232 86700 86717 88400 90168 91818 93600 93925 99450 102020 104040 106080 112710 115600 120224 122400 122424 127525 130050 132600 132626 135252 138720 150280 153030 159120 163232 169065 173400 173434 176800 180336 183636 187850 198900 198939 204040 208080 225420 229545 231200 244848 255050 260100 260151 265200 265252 270504 281775 300560 306060 318240 331565 338130 346800 346868 360672 367272 375700 382575 397800 397878 408080 416160 433585 450840 459090 489696 510100 520200 520302 530400 530504 541008 563550 596817 601120 612120 663130 676260 693600 693736 734544 751400 765150 780453 795600 795756 816160 845325 867170 901680 918180 994695 1020200 1040400 1040604 1061008 1082016 1127100 1127321 1147725 1193634 1224240 1300755 1326260 1352520 1387472 1469088 1474189 1502800 1530300 1560906 1591200 1591512 1657825 1690650 1734340 1803360 1836360 1989390 2040400 2080800 2081208 2122016 2167925 2254200 2254642 2295450 2387268 2448480 2601510 2652520 2705040 2774944 2948378 2984085 3005600 3060600 3121812 3183024 3315650 3381300 3381963 3468680 3672720 3902265 3978780 4080800 4162416 4335850 4422567 4508400 4509284 4590900 4774536 4973475 5203020 5305040 5410080 5636605 5896756 5968170 6121200 6243624 6366048 6503775 6631300 6762600 6763926 6937360 7345440 7370945 7804530 7957560 8324832 8671700 8845134 9016800 9018568 9181800 9549072 9946950 10145889 10406040 10610080 11273210 11793512 11936340 12242400 12487248 13007550 13262600 13267701 13525200 13527852 13874720 14741890 14920425 15609060 15915120 16909815 17343400 17690268 18037136 18363600 19098144 19164457 19511325 19893900 20291778 20812080 22112835 22546420 23587024 23872680 24974496 26015100 26525200 26535402 27050400 27055704 28183025 29483780 29840850 31218120 31830240 33819630 34686800 35380536 36074272 36727200 36854725 38328914 39022650 39787800 40583556 41624160 44225670 45092840 47174048 47745360 50729445 52030200 53050400 53070804 54111408 56366050 57493371 58967560 59681700 62436240 66338505 67639260 69373600 70761072 73709450 76657828 78045300 79575600 81167112 84549075 88451340 90185680 95490720 95822285 101458890 104060400 106141608 108222816 110564175 112732100 114986742 117935120 119363400 124872480 132677010 135278520 141522144 147418900 153315656 156090600 159151200 162334224 169098150 172480113 176902680 180371360 191644570 202917780 208120800 212283216 221128350 225464200 229973484 235870240 238726800 253647225 265354020 270557040 287466855 294837800 306631312 312181200 324668448 331692525 338196300 344960226 353805360 383289140 405835560 424566432 442256700 450928400 459946968 477453600 479111425 507294450 530708040 541114080 574933710 589675600 613262624 624362400 663385050 676392600 689920452 707610720 766578280 811671120 862400565 884513400 901856800 919893936 958222850 1014588900 1061416080 1149867420 1179351200 1326770100 1352785200 1379840904 1437334275 1533156560 1623342240 1724801130 1769026800 1839787872 1916445700 2029177800 2122832160 2299734840 2653540200 2705570400 2759681808 2874668550 3066313120 3449602260 3538053600 3832891400 4058355600 4312002825 4599469680 5307080400 5519363616 5749337100 6899204520 7665782800 8116711200 8624005650 9198939360 10614160800 11498674200 13798409040 15331565600 17248011300 22997348400 27596818080 34496022600 45994696800 68992045200 137984090400
- Sum of all divisors σ(n): 556740046044
- Sum of proper divisors (its aliquot sum) s(n): 418755955644
- 137984090400 is an abundant number, because the sum of its proper divisors (418755955644) is greater than itself. Its abundance is 280771865244
Bases of 137984090400
- Binary: 100000001000000111111000100001001000002
- Hexadecimal: 0x20207E2120
- Base-36: 1RE05XK0
Squares and roots of 137984090400
- 137984090400 squared (1379840904002) is 19039609203515372160000
- 137984090400 cubed (1379840904003) is 2627163157518537109915083264000000
-
The
square root of 137984090400 is 371462.0982011489 -
The
cube root of 137984090400 is 5167.4506572133
Scales and comparisons
How big is 137984090400?- 137,984,090,400 seconds is equal to 4,387 years, 24 weeks, 2 days, 2 hours.
-
To count from 1 to 137,984,090,400 would take you about eight thousand, seven hundred seventy-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 137984090400 cubic inches would be around 430.6 feet tall.
Recreational maths with 137984090400
- 137984090400 backwards is 004090489731
- 137984090400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137984090400's digits is 45
- More coming soon!
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The information we have on file for 137984090400 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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