137938744320
137,938,744,320 is an even composite number composed of six prime numbers multiplied together.
137938744320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 137938744320:
210 × 3 × 5 × 13 × 73 × 9463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 73 × 9463)See below for interesting mathematical facts about the number 137938744320 from the Numbermatics database.
Names of 137938744320
- Cardinal: 137938744320 can be written as One hundred thirty-seven billion, nine hundred thirty-eight million, seven hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3793874432 × 1011
Factors of 137938744320
Divisors of 137938744320
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 73 78 80 96 104 120 128 130 146 156 160 192 195 208 219 240 256 260 292 312 320 365 384 390 416 438 480 512 520 584 624 640 730 768 780 832 876 949 960 1024 1040 1095 1168 1248 1280 1460 1536 1560 1664 1752 1898 1920 2080 2190 2336 2496 2560 2847 2920 3072 3120 3328 3504 3796 3840 4160 4380 4672 4745 4992 5120 5694 5840 6240 6656 7008 7592 7680 8320 8760 9344 9463 9490 9984 11388 11680 12480 13312 14016 14235 15184 15360 16640 17520 18688 18926 18980 19968 22776 23360 24960 28032 28389 28470 30368 33280 35040 37376 37852 37960 39936 45552 46720 47315 49920 56064 56778 56940 60736 66560 70080 74752 75704 75920 91104 93440 94630 99840 112128 113556 113880 121472 123019 140160 141945 151408 151840 182208 186880 189260 199680 224256 227112 227760 242944 246038 280320 283890 302816 303680 364416 369057 373760 378520 454224 455520 485888 492076 560640 567780 605632 607360 615095 690799 728832 738114 757040 908448 911040 971776 984152 1121280 1135560 1211264 1214720 1230190 1381598 1457664 1476228 1514080 1816896 1822080 1845285 1968304 2072397 2271120 2422528 2429440 2460380 2763196 2915328 2952456 3028160 3453995 3633792 3644160 3690570 3936608 4144794 4542240 4845056 4858880 4920760 5526392 5904912 6056320 6907990 7267584 7288320 7381140 7873216 8289588 8980387 9084480 9690112 9841520 10361985 11052784 11809824 12112640 13815980 14535168 14576640 14762280 15746432 16579176 17960774 18168960 19683040 20723970 22105568 23619648 24225280 26941161 27631960 29070336 29524560 31492864 33158352 35921548 36337920 39366080 41447940 44211136 44901935 47239296 48450560 53882322 55263920 59049120 62985728 66316704 71843096 72675840 78732160 82895880 88422272 89803870 94478592 107764644 110527840 118098240 125971456 132633408 134705805 143686192 145351680 157464320 165791760 176844544 179607740 188957184 215529288 221055680 236196480 265266816 269411610 287372384 314928640 331583520 353689088 359215480 377914368 431058576 442111360 472392960 530533632 538823220 574744768 629857280 663167040 707378176 718430960 862117152 884222720 944785920 1061067264 1077646440 1149489536 1326334080 1436861920 1724234304 1768445440 1889571840 2122134528 2155292880 2298979072 2652668160 2873723840 3448468608 3536890880 4310585760 4597958144 5305336320 5747447680 6896937216 8621171520 9195916288 10610672640 11494895360 13793874432 17242343040 22989790720 27587748864 34484686080 45979581440 68969372160 137938744320
- Sum of all divisors σ(n): 481685498112
- Sum of proper divisors (its aliquot sum) s(n): 343746753792
- 137938744320 is an abundant number, because the sum of its proper divisors (343746753792) is greater than itself. Its abundance is 205808009472
Bases of 137938744320
- Binary: 100000000111011100101000110100000000002
- Hexadecimal: 0x201DCA3400
- Base-36: 1RD960AO
Squares and roots of 137938744320
- 137938744320 squared (1379387443202) is 19027097184578332262400
- 137938744320 cubed (1379387443203) is 2624573893695342420955200749568000
-
The
square root of 137938744320 is 371401.0558951065 -
The
cube root of 137938744320 is 5166.8845308247
Scales and comparisons
How big is 137938744320?- 137,938,744,320 seconds is equal to 4,386 years, 1 week, 2 days, 5 hours, 52 minutes.
-
To count from 1 to 137,938,744,320 would take you about eight thousand, seven hundred seventy-two 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 137938744320 cubic inches would be around 430.6 feet tall.
Recreational maths with 137938744320
- 137938744320 backwards is 023447839731
- The number of decimal digits it has is: 12
- The sum of 137938744320's digits is 51
- More coming soon!
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