137146245120

Names of 137146245120

• Cardinal: 137146245120 can be written as One hundred thirty-seven billion, one hundred forty-six million, two hundred forty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3714624512 × 10¹¹

Factors of 137146245120

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1541

Divisors of 137146245120

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 648 720 729 768 810 864 960 972 1024 1080 1152 1215 1280 1296 1440 1458 1531 1536 1620 1728 1920 1944 2048 2160 2187 2304 2430 2560 2592 2880 2916 3062 3072 3240 3456 3645 3840 3888 4096 4320 4374 4593 4608 4860 5120 5184 5760 5832 6124 6144 6480 6912 7290 7655 7680 7776 8192 8640 8748 9186 9216 9720 10240 10368 10935 11520 11664 12248 12288 12960 13779 13824 14580 15310 15360 15552 17280 17496 18372 18432 19440 20480 20736 21870 22965 23040 23328 24496 24576 25920 27558 27648 29160 30620 30720 31104 34560 34992 36744 36864 38880 40960 41337 41472 43740 45930 46080 46656 48992 51840 55116 55296 58320 61240 61440 62208 68895 69120 69984 73488 73728 77760 82674 82944 87480 91860 92160 93312 97984 103680 110232 110592 116640 122480 122880 124011 124416 137790 138240 139968 146976 155520 165348 165888 174960 183720 184320 186624 195968 206685 207360 220464 221184 233280 244960 248022 248832 275580 276480 279936 293952 311040 330696 331776 349920 367440 368640 372033 373248 391936 413370 414720 440928 466560 489920 496044 497664 551160 552960 559872 587904 620055 622080 661392 663552 699840 734880 744066 746496 783872 826740 829440 881856 933120 979840 992088 995328 1102320 1105920 1116099 1119744 1175808 1240110 1244160 1322784 1399680 1469760 1488132 1492992 1567744 1653480 1658880 1763712 1860165 1866240 1959680 1984176 1990656 2204640 2232198 2239488 2351616 2480220 2488320 2645568 2799360 2939520 2976264 2985984 3135488 3306960 3317760 3348297 3527424 3720330 3732480 3919360 3968352 4409280 4464396 4478976 4703232 4960440 4976640 5291136 5580495 5598720 5879040 5952528 5971968 6270976 6613920 6696594 7054848 7440660 7464960 7838720 7936704 8818560 8928792 8957952 9406464 9920880 9953280 10582272 11160990 11197440 11758080 11905056 12541952 13227840 13393188 14109696 14881320 14929920 15677440 15873408 16741485 17637120 17857584 17915904 18812928 19841760 21164544 22321980 22394880 23516160 23810112 26455680 26786376 28219392 29762640 29859840 31354880 31746816 33482970 35274240 35715168 37625856 39683520 42329088 44643960 44789760 47032320 47620224 52911360 53572752 56438784 59525280 62709760 63493632 66965940 70548480 71430336 79367040 84658176 89287920 89579520 94064640 95240448 105822720 107145504 112877568 119050560 126987264 133931880 141096960 142860672 158734080 169316352 178575840 188129280 190480896 211645440 214291008 238101120 253974528 267863760 282193920 285721344 317468160 338632704 357151680 380961792 423290880 428582016 476202240 507949056 535727520 564387840 571442688 634936320 714303360 761923584 846581760 857164032 952404480 1015898112 1071455040 1142885376 1269872640 1428606720 1523847168 1693163520 1714328064 1904808960 2142910080 2285770752 2539745280 2857213440 3047694336 3428656128 3809617920 4285820160 4571541504 5079490560 5714426880 6857312256 7619235840 8571640320 9143083008 11428853760 13714624512 15238471680 17143280640 22857707520 27429249024 34286561280 45715415040 68573122560 137146245120
• Sum of all divisors σ(n): 493943518080
• Sum of proper divisors (its aliquot sum) s(n): 356797272960
• 137146245120 is an abundant number, because the sum of its proper divisors (356797272960) is greater than itself. Its abundance is 219651027840

Bases of 137146245120

• Binary: 1111111101110100011011010000000000000₂
• Hexadecimal: 0x1FEE8DA000
• Base-36: 1R05C000

Squares and roots of 137146245120

• 137146245120 squared (137146245120²) is 18809092550515123814400
• 137146245120 cubed (137146245120³) is 2579596417417713152916851785728000
• The square root of 137146245120 is 370332.6141727191
• The cube root of 137146245120 is 5156.9704227903

Scales and comparisons

• 137,146,245,120 seconds is equal to 4,360 years, 42 weeks, 6 days, 19 hours, 12 minutes.
• To count from 1 to 137,146,245,120 would take you about eight thousand, seven hundred twenty-one 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 137146245120 cubic inches would be around 429.7 feet tall.

Recreational maths with 137146245120

• 137146245120 backwards is 021542641731
• 137146245120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137146245120's digits is 36
• More coming soon!