137128999920
137,128,999,920 is an even composite number composed of seven prime numbers multiplied together.
137128999920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137128999920:
24 × 3 × 5 × 112 × 17 × 89 × 3121
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 89 × 3121)See below for interesting mathematical facts about the number 137128999920 from the Numbermatics database.
Names of 137128999920
- Cardinal: 137128999920 can be written as One hundred thirty-seven billion, one hundred twenty-eight million, nine hundred ninety-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3712899992 × 1011
Factors of 137128999920
Divisors of 137128999920
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 89 102 110 120 121 132 136 165 170 176 178 187 204 220 240 242 255 264 267 272 330 340 356 363 374 408 440 445 484 510 528 534 561 605 660 680 712 726 748 816 880 890 935 968 979 1020 1068 1122 1210 1320 1335 1360 1424 1452 1496 1513 1780 1815 1870 1936 1958 2040 2057 2136 2244 2420 2640 2670 2805 2904 2937 2992 3026 3121 3560 3630 3740 3916 4080 4114 4272 4488 4539 4840 4895 5340 5610 5808 5874 6052 6171 6242 7120 7260 7480 7565 7832 8228 8976 9078 9363 9680 9790 10285 10680 10769 11220 11748 12104 12342 12484 14520 14685 14960 15130 15605 15664 16456 16643 18156 18726 19580 20570 21360 21538 22440 22695 23496 24208 24684 24968 29040 29370 30260 30855 31210 32307 32912 33286 34331 36312 37452 39160 41140 43076 44880 45390 46815 46992 49368 49929 49936 53057 53845 58740 60520 61710 62420 64614 66572 68662 72624 74904 78320 82280 83215 86152 90780 93630 98736 99858 102993 106114 107690 117480 121040 123420 124840 129228 133144 137324 149808 159171 161535 164560 166430 171655 172304 181560 183073 187260 199716 205986 212228 215380 234960 246840 249645 249680 258456 265285 266288 274648 277769 318342 323070 332860 343310 363120 366146 374520 377641 399432 411972 424456 430760 493680 499290 514965 516912 530570 549219 549296 555538 583627 636684 646140 665720 686620 732292 749040 755282 795855 798864 823944 833307 848912 861520 915365 998580 1029930 1061140 1098438 1111076 1132923 1167254 1273368 1292280 1331440 1373240 1388845 1464584 1510564 1591710 1647888 1666614 1750881 1830730 1888205 1997160 2059860 2122280 2196876 2222152 2265846 2334508 2546736 2584560 2746095 2746480 2777690 2918135 2929168 3021128 3055459 3183420 3333228 3501762 3661460 3776410 3994320 4119720 4166535 4244560 4393752 4444304 4531692 4669016 4722073 5492190 5555380 5664615 5836270 6042256 6110918 6366840 6419897 6666456 7003524 7322920 7552820 8239440 8333070 8754405 8787504 9063384 9166377 9338032 9444146 10984380 11110760 11329230 11672540 12221836 12733680 12839794 13332912 14007048 14166219 14645840 15105640 15277295 16666140 17508810 18126768 18332754 18888292 19259691 21968760 22221520 22658460 23345080 23610365 24443672 25679588 28014096 28332438 30211280 30554590 32099485 33332280 33610049 35017620 36665508 37776584 38519382 43937520 45316920 45831885 46690160 47220730 48887344 51359176 51942803 56664876 61109180 64198970 66664560 67220098 70035240 70831095 73331016 75553168 77038764 90633840 91663770 94441460 96298455 100830147 102718352 103885606 113329752 122218360 128397940 134440196 140070480 141662190 146662032 154077528 155828409 168050245 183327540 188882920 192596910 201660294 207771212 226659504 244436720 256795880 259714015 268880392 283324380 308155056 311656818 336100490 366655080 377765840 385193820 403320588 415542424 504150735 513591760 519428030 537760784 566648760 571370833 623313636 672200980 733310160 770387640 779142045 806641176 831084848 1008301470 1038856060 1133297520 1142741666 1246627272 1344401960 1540775280 1558284090 1613282352 1714112499 2016602940 2077712120 2285483332 2493254544 2688803920 2856854165 3116568180 3428224998 4033205880 4155424240 4570966664 5713708330 6233136360 6856449996 8066411760 8570562495 9141933328 11427416660 12466272720 13712899992 17141124990 22854833320 27425799984 34282249980 45709666640 68564499960 137128999920
- Sum of all divisors σ(n): 500463593280
- Sum of proper divisors (its aliquot sum) s(n): 363334593360
- 137128999920 is an abundant number, because the sum of its proper divisors (363334593360) is greater than itself. Its abundance is 226205593440
Bases of 137128999920
- Binary: 11111111011011000011001111011111100002
- Hexadecimal: 0x1FED867BF0
- Base-36: 1QZV2DIO
Squares and roots of 137128999920
- 137128999920 squared (1371289999202) is 18804362619059360006400
- 137128999920 cubed (1371289999203) is 2578623440084641968792876799488000
-
The
square root of 137128999920 is 370309.3300471919 -
The
cube root of 137128999920 is 5156.7542625055
Scales and comparisons
How big is 137128999920?- 137,128,999,920 seconds is equal to 4,360 years, 14 weeks, 3 days, 4 hours, 52 minutes.
-
To count from 1 to 137,128,999,920 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 137128999920 cubic inches would be around 429.7 feet tall.
Recreational maths with 137128999920
- 137128999920 backwards is 029999821731
- 137128999920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137128999920's digits is 60
- More coming soon!
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