137130681408
137,130,681,408 is an even composite number composed of seven prime numbers multiplied together.
137130681408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137130681408:
26 × 3 × 7 × 31 × 71 × 151 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 71 × 151 × 307)See below for interesting mathematical facts about the number 137130681408 from the Numbermatics database.
Names of 137130681408
- Cardinal: 137130681408 can be written as One hundred thirty-seven billion, one hundred thirty million, six hundred eighty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37130681408 × 1011
Factors of 137130681408
Divisors of 137130681408
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 71 84 93 96 112 124 142 151 168 186 192 213 217 224 248 284 302 307 336 372 426 434 448 453 496 497 568 604 614 651 672 744 852 868 906 921 992 994 1057 1136 1208 1228 1302 1344 1488 1491 1704 1736 1812 1842 1984 1988 2114 2149 2201 2272 2416 2456 2604 2976 2982 3171 3408 3472 3624 3684 3976 4228 4298 4402 4544 4681 4832 4912 5208 5952 5964 6342 6447 6603 6816 6944 7248 7368 7952 8456 8596 8804 9362 9517 9664 9824 10416 10721 11928 12684 12894 13206 13632 13888 14043 14496 14736 15407 15904 16912 17192 17608 18724 19034 19648 20832 21442 21797 23856 25368 25788 26412 28086 28551 28992 29472 30814 31808 32163 32767 33824 34384 35216 37448 38068 41664 42884 43594 46221 46357 47712 50736 51576 52824 56172 57102 58944 61628 64326 65391 65534 66619 67648 68768 70432 74896 75047 76136 85768 87188 92442 92714 95424 98301 101472 103152 105648 112344 114204 123256 128652 130782 131068 133238 137536 139071 140864 149792 150094 152272 152579 171536 174376 184884 185428 196602 199857 202944 206304 211296 224688 225141 228408 246512 257304 261564 262136 266476 278142 299584 300188 304544 305158 324499 332351 343072 348752 369768 370856 393204 399714 412608 422592 449376 450282 456816 457737 493024 514608 523128 524272 532952 556284 600376 609088 610316 648998 664702 675707 686144 697504 739536 741712 786408 799428 898752 900564 913632 915474 973497 986048 997053 1029216 1046256 1048544 1065904 1112568 1200752 1220632 1297996 1329404 1351414 1395008 1437067 1479072 1483424 1572816 1598856 1801128 1827264 1830948 1946994 1994106 2027121 2058432 2092512 2097088 2131808 2225136 2326457 2401504 2441264 2595992 2658808 2702828 2874134 2958144 2966848 3145632 3197712 3291347 3602256 3661896 3893988 3988212 4054242 4185024 4263616 4311201 4450272 4652914 4729949 4803008 4882528 5191984 5317616 5405656 5748268 6291264 6395424 6582694 6979371 7204512 7323792 7787976 7976424 8108484 8622402 8900544 9305828 9459898 9765056 9874041 10059469 10383968 10635232 10811312 11496536 12790848 13165388 13958742 14189847 14409024 14647584 15575952 15952848 16216968 17244804 18611656 18919796 19748082 20118938 20767936 21270464 21622624 22993072 23039429 26330776 27917484 28379694 29295168 30178407 31151904 31905696 32433936 34489608 37223312 37839592 39496164 40237876 43245248 45986144 46078858 52661552 55834968 56759388 60356814 62303808 63811392 64867872 68979216 69118287 74446624 75679184 78992328 80475752 91972288 92157716 102031757 105323104 111669936 113518776 120713628 129735744 137958432 138236574 148893248 151358368 157984656 160951504 184315432 204063514 210646208 223339872 227037552 241427256 275916864 276473148 302716736 306095271 315969312 321903008 368630864 408127028 446679744 454075104 482854512 552946296 612190542 631938624 643806016 714222299 737261728 816254056 908150208 965709024 1105892592 1224381084 1428444598 1474523456 1632508112 1931418048 2142666897 2211785184 2448762168 2856889196 3265016224 4285333794 4423570368 4897524336 5713778392 6530032448 8570667588 9795048672 11427556784 17141335176 19590097344 22855113568 34282670352 45710227136 68565340704 137130681408
- Sum of all divisors σ(n): 438359556096
- Sum of proper divisors (its aliquot sum) s(n): 301228874688
- 137130681408 is an abundant number, because the sum of its proper divisors (301228874688) is greater than itself. Its abundance is 164098193280
Bases of 137130681408
- Binary: 11111111011011010000000100100010000002
- Hexadecimal: 0x1FEDA02440
- Base-36: 1QZW2EYO
Squares and roots of 137130681408
- 137130681408 squared (1371306814082) is 18804823783422396862464
- 137130681408 cubed (1371306814083) is 2578718299178077896038289577869312
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The
square root of 137130681408 is 370311.6004232111 -
The
cube root of 137130681408 is 5156.7753399457
Scales and comparisons
How big is 137130681408?- 137,130,681,408 seconds is equal to 4,360 years, 17 weeks, 1 day, 15 hours, 56 minutes, 48 seconds.
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To count from 1 to 137,130,681,408 would take you about eight thousand, seven hundred twenty 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 137130681408 cubic inches would be around 429.7 feet tall.
Recreational maths with 137130681408
- 137130681408 backwards is 804186031731
- 137130681408 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137130681408's digits is 42
- More coming soon!
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