137042355220320
137,042,355,220,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137042355220320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
137042355220320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137042355220320:
25 × 3 × 5 × 11 × 17 × 13933 × 109579
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 13933 × 109579)See below for interesting mathematical facts about the number 137042355220320 from the Numbermatics database.
Names of 137042355220320
- Cardinal: 137042355220320 can be written as One hundred thirty-seven trillion, forty-two billion, three hundred fifty-five million, two hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3704235522032 × 1014
Factors of 137042355220320
Divisors of 137042355220320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 66 68 80 85 88 96 102 110 120 132 136 160 165 170 176 187 204 220 240 255 264 272 330 340 352 374 408 440 480 510 528 544 561 660 680 748 816 880 935 1020 1056 1122 1320 1360 1496 1632 1760 1870 2040 2244 2640 2720 2805 2992 3740 4080 4488 5280 5610 5984 7480 8160 8976 11220 13933 14960 17952 22440 27866 29920 41799 44880 55732 69665 83598 89760 109579 111464 139330 153263 167196 208995 219158 222928 236861 278660 306526 328737 334392 417990 438316 445856 459789 473722 547895 557320 613052 657474 668784 710583 766315 835980 876632 919578 947444 1095790 1114640 1184305 1205369 1226104 1314948 1337568 1421166 1532630 1643685 1671960 1753264 1839156 1862843 1894888 2191580 2229280 2298945 2368610 2410738 2452208 2605471 2629896 2842332 3065260 3287370 3343920 3506528 3552915 3616107 3678312 3725686 3789776 4383160 4597890 4737220 4821476 4904416 5210942 5259792 5588529 5684664 6026845 6130520 6574740 6687840 7105830 7232214 7356624 7451372 7579552 7816413 8766320 9195780 9314215 9474440 9642952 10421884 10519584 11177058 11369328 12053690 12261040 13027355 13149480 14211660 14464428 14713248 14902744 15632826 17532640 18080535 18391560 18628430 18948880 19285904 20491273 20843768 22354116 22738656 24107380 24522080 26054710 26298960 27942645 28423320 28928856 29805488 31265652 36161070 36783120 37256860 37897760 38571808 39082065 40982546 41687536 44708232 48214760 52109420 52597920 55885290 56846640 57857712 59610976 61473819 62531304 72322140 73566240 74513720 78164130 81965092 83375072 89416464 96429520 102456365 104218840 111770580 113693280 115715424 122947638 125062608 144644280 149027440 156328260 163930184 178832928 192859040 204912730 208437680 223541160 245895276 250125216 289288560 298054880 307369095 312656520 327860368 409825460 416875360 447082320 491790552 578577120 614738190 625313040 655720736 819650920 894164640 983581104 1229476380 1250626080 1526764207 1639301840 1967162208 2458952760 3053528414 3278603680 4580292621 4917905520 6107056828 7633821035 9160585242 9835811040 12214113656 15267642070 16794406277 18321170484 22901463105 24428227312 25954991519 30535284140 33588812554 36642340968 45802926210 48856454624 50383218831 51909983038 61070568280 67177625108 73284681936 77864974557 83972031385 91605852420 100766437662 103819966076 122141136560 129774957595 134355250216 146569363872 155729949114 167944062770 183211704840 201532875324 207639932152 244282273120 251916094155 259549915190 268710500432 285504906709 311459898228 335888125540 366423409680 389324872785 403065750648 415279864304 503832188310 519099830380 537421000864 571009813418 622919796456 671776251080 732846819360 778649745570 806131501296 830559728608 856514720127 1007664376620 1038199660760 1142019626836 1245839592912 1343552502160 1427524533545 1557299491140 1612263002592 1713029440254 2015328753240 2076399321520 2284039253672 2491679185824 2687105004320 2855049067090 3114598982280 3426058880508 4030657506480 4152798643040 4282573600635 4568078507344 5710098134180 6229197964560 6852117761016 8061315012960 8565147201270 9136157014688 11420196268360 12458395929120 13704235522032 17130294402540 22840392536720 27408471044064 34260588805080 45680785073440 68521177610160 137042355220320
- Sum of all divisors σ(n): 498669314250240
- Sum of proper divisors (its aliquot sum) s(n): 361626959029920
- 137042355220320 is an abundant number, because the sum of its proper divisors (361626959029920) is greater than itself. Its abundance is 224584603809600
Bases of 137042355220320
- Binary: 111110010100011101010001110011011101111011000002
- Hexadecimal: 0x7CA3A8E6EF60
- Base-36: 1CKSDZYWDC
Squares and roots of 137042355220320
- 137042355220320 squared (1370423552203202) is 18780607124332368355740902400
- 137042355220320 cubed (1370423552203203) is 2573738632786028923831118430857987616768000
-
The
square root of 137042355220320 is 11706509.0962387245 -
The
cube root of 137042355220320 is 51556.6793852817
Scales and comparisons
How big is 137042355220320?- 137,042,355,220,320 seconds is equal to 4,357,522 years, 51 weeks, 5 days, 14 hours, 32 minutes.
-
To count from 1 to 137,042,355,220,320 would take you about ten million, eight hundred ninety-three thousand, eight hundred seven 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 137042355220320 cubic inches would be around 4296.4 feet tall.
Recreational maths with 137042355220320
- 137042355220320 backwards is 023022553240731
- The number of decimal digits it has is: 15
- The sum of 137042355220320's digits is 39
- More coming soon!
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