137972718520
137,972,718,520 is an even composite number composed of eight prime numbers multiplied together.
137972718520 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137972718520:
23 × 5 × 7 × 13 × 53 × 73 × 97 × 101
(2 × 2 × 2 × 5 × 7 × 13 × 53 × 73 × 97 × 101)See below for interesting mathematical facts about the number 137972718520 from the Numbermatics database.
Names of 137972718520
- Cardinal: 137972718520 can be written as One hundred thirty-seven billion, nine hundred seventy-two million, seven hundred eighteen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3797271852 × 1011
Factors of 137972718520
Divisors of 137972718520
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 73 91 97 101 104 106 130 140 146 182 194 202 212 260 265 280 292 364 365 371 388 404 424 455 485 505 511 520 530 584 679 689 707 728 730 742 776 808 910 949 970 1010 1022 1060 1261 1313 1358 1378 1414 1460 1484 1820 1855 1898 1940 2020 2044 2120 2522 2555 2626 2716 2756 2828 2920 2968 3395 3445 3535 3640 3710 3796 3869 3880 4040 4088 4745 4823 5044 5110 5141 5252 5353 5432 5512 5656 6305 6565 6643 6790 6890 7070 7081 7373 7420 7592 7738 8827 9191 9490 9646 9797 10088 10220 10282 10504 10706 12610 13130 13286 13580 13780 14140 14162 14746 14840 15476 17654 18382 18980 19292 19345 19594 20440 20564 21412 24115 25220 25705 26260 26572 26765 27083 27160 27560 28280 28324 29492 30952 33215 35308 35405 35987 36764 36865 37471 37960 38584 38690 39188 41128 42824 44135 45955 48230 48985 49567 50297 50440 51410 51611 52520 53144 53530 54166 56648 58984 66430 66833 68579 69589 70616 70810 71974 73528 73730 74942 77380 78376 88270 91910 92053 95849 96460 97970 99134 100594 102820 103222 107060 108332 127361 132860 133666 135415 137158 139178 141620 143948 147460 149884 154760 176540 179935 183820 184106 187355 191698 192920 195940 198268 201188 205640 206444 214120 216664 247835 251485 254722 258055 265720 267332 270830 274316 278356 283240 287896 294920 299768 334165 342895 347945 352079 353080 359870 367640 368212 374710 375293 383396 390769 391880 396536 402376 412888 460265 467831 479245 487123 495670 502970 509444 516110 519241 534664 541660 548632 556712 636805 644371 668330 670943 685790 695890 704158 715181 719740 736424 749420 750586 766792 781538 891527 920530 935662 958490 974246 991340 1005940 1018888 1032220 1038482 1083320 1273610 1288742 1336660 1341886 1371580 1391780 1408316 1430362 1439480 1498840 1501172 1563076 1760395 1783054 1841060 1871324 1876465 1916980 1948492 1953845 1982680 2011880 2064440 2076964 2339155 2435615 2547220 2577484 2596205 2627051 2673320 2683772 2735383 2743160 2783560 2816632 2860724 3002344 3126152 3221855 3354715 3520790 3566108 3575905 3634687 3682120 3742648 3752930 3833960 3896984 3907690 4153928 4457635 4678310 4871230 4878809 5006267 5079997 5094440 5154968 5192410 5254102 5367544 5470766 5721448 6443710 6709430 6750133 7041580 7132216 7151810 7269374 7505860 7815380 8915270 9297353 9356620 9742460 9757618 10012534 10159994 10384820 10508204 10941532 12887420 13135255 13418860 13500266 13676915 14083160 14303620 14538748 15011720 15630760 17830540 18173435 18594706 18713240 19484920 19515236 20025068 20319988 20769640 21016408 21883064 24394045 25031335 25399985 25774840 26270510 26837720 27000532 27353830 28607240 29077496 33750665 34151663 35559979 35661080 36346870 37189412 37904593 39030472 40050136 40639976 46486765 47250931 48788090 50062670 50799970 52541020 54001064 54707660 65081471 67501330 68303326 71119958 72693740 74378824 75809186 92973530 94501862 97576180 100125340 101599940 105082040 109415320 130162942 135002660 136606652 142239916 145387480 151618372 170758315 177799895 185947060 189003724 189522965 195152360 200250680 203199880 236254655 260325884 265332151 270005320 273213304 284479832 303236744 325407355 341516630 355599790 371894120 378007448 379045930 472509310 492759709 520651768 530664302 650814710 683033260 711199580 758091860 945018620 985519418 1061328604 1301629420 1326660755 1366066520 1422399160 1516183720 1890037240 1971038836 2122657208 2463798545 2603258840 2653321510 3449317963 3942077672 4927597090 5306643020 6898635926 9855194180 10613286040 13797271852 17246589815 19710388360 27594543704 34493179630 68986359260 137972718520
- Sum of all divisors σ(n): 402635681280
- Sum of proper divisors (its aliquot sum) s(n): 264662962760
- 137972718520 is an abundant number, because the sum of its proper divisors (264662962760) is greater than itself. Its abundance is 126690244240
Bases of 137972718520
- Binary: 100000000111111101000010011011101110002
- Hexadecimal: 0x201FD09BB8
- Base-36: 1RDTE6YG
Squares and roots of 137972718520
- 137972718520 squared (1379727185202) is 19036471055799150990400
- 137972718520 cubed (1379727185203) is 2626513662595903473253438422208000
-
The
square root of 137972718520 is 371446.7909674277 -
The
cube root of 137972718520 is 5167.3086958151
Scales and comparisons
How big is 137972718520?- 137,972,718,520 seconds is equal to 4,387 years, 5 weeks, 3 days, 11 hours, 8 minutes, 40 seconds.
-
To count from 1 to 137,972,718,520 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 137972718520 cubic inches would be around 430.6 feet tall.
Recreational maths with 137972718520
- 137972718520 backwards is 025817279731
- 137972718520 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137972718520's digits is 52
- More coming soon!
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