137630214120
137,630,214,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137630214120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
137630214120 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 137630214120:
23 × 3 × 5 × 72 × 19 × 71 × 17351
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 19 × 71 × 17351)See below for interesting mathematical facts about the number 137630214120 from the Numbermatics database.
Names of 137630214120
- Cardinal: 137630214120 can be written as One hundred thirty-seven billion, six hundred thirty million, two hundred fourteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3763021412 × 1011
Factors of 137630214120
Divisors of 137630214120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 49 56 57 60 70 71 76 84 95 98 105 114 120 133 140 142 147 152 168 190 196 210 213 228 245 266 280 284 285 294 355 380 392 399 420 426 456 490 497 532 568 570 588 665 710 735 760 798 840 852 931 980 994 1064 1065 1140 1176 1330 1349 1420 1470 1491 1596 1704 1862 1960 1988 1995 2130 2280 2485 2660 2698 2793 2840 2940 2982 3192 3479 3724 3976 3990 4047 4260 4655 4970 5320 5396 5586 5880 5964 6745 6958 7448 7455 7980 8094 8520 9310 9443 9940 10437 10792 11172 11928 13490 13916 13965 14910 15960 16188 17351 17395 18620 18886 19880 20235 20874 22344 26980 27832 27930 28329 29820 32376 34702 34790 37240 37772 40470 41748 47215 52053 52185 53960 55860 56658 59640 66101 69404 69580 75544 80940 83496 86755 94430 104106 104370 111720 113316 121457 132202 138808 139160 141645 161880 173510 188860 198303 208212 208740 226632 242914 260265 264404 283290 329669 330505 347020 364371 377720 396606 416424 417480 485828 520530 528808 566580 607285 659338 661010 694040 728742 793212 850199 971656 989007 991515 1041060 1133160 1214570 1231921 1318676 1322020 1457484 1586424 1648345 1700398 1821855 1978014 1983030 2082120 2307683 2429140 2463842 2550597 2637352 2644040 2914968 3296690 3400796 3643710 3695763 3956028 3966060 4250995 4615366 4858280 4927684 4945035 5101194 6159605 6593380 6801592 6923049 7287420 7391526 7912056 7932120 8501990 8623447 9230732 9855368 9890070 10202388 11538415 12319210 12752985 13186760 13846098 14574840 14783052 16153781 17003980 17246894 18461464 18478815 19780140 20404776 23076830 23406499 24638420 25505970 25870341 27692196 29566104 32307562 34007960 34493788 34615245 36957630 39560280 43117235 46153660 46812998 48461343 49276840 51011940 51740682 55384392 60364129 64615124 68987576 69230490 70219497 73915260 80768905 86234470 92307320 93625996 96922686 102023880 103481364 117032495 120728258 129230248 129351705 138460980 140438994 147830520 161537810 163845493 172468940 181092387 187251992 193845372 206962728 234064990 241456516 242306715 258703410 276921960 280877988 301820645 323075620 327690986 344937880 351097485 362184774 387690744 468129980 482913032 484613430 491536479 517406820 561755976 603641290 646151240 655381972 702194970 724369548 819227465 905461935 936259960 969226860 983072958 1034813640 1146918451 1207282580 1310763944 1404389940 1448739096 1638454930 1810923870 1938453720 1966145916 2293836902 2414565160 2457682395 2808779880 3276909860 3440755353 3621847740 3932291832 4587673804 4915364790 5734592255 6553819720 6881510706 7243695480 9175347608 9830729580 11469184510 13763021412 17203776765 19661459160 22938369020 27526042824 34407553530 45876738040 68815107060 137630214120
- Sum of all divisors σ(n): 512730777600
- Sum of proper divisors (its aliquot sum) s(n): 375100563480
- 137630214120 is an abundant number, because the sum of its proper divisors (375100563480) is greater than itself. Its abundance is 237470349360
Bases of 137630214120
- Binary: 100000000010110110011001100111111010002
- Hexadecimal: 0x200B6667E8
- Base-36: 1R85H4VC
Squares and roots of 137630214120
- 137630214120 squared (1376302141202) is 18942075838717047374400
- 137630214120 cubed (1376302141203) is 2607001953559905816232855806528000
-
The
square root of 137630214120 is 370985.4634888005 -
The
cube root of 137630214120 is 5163.0293656151
Scales and comparisons
How big is 137630214120?- 137,630,214,120 seconds is equal to 4,376 years, 11 weeks, 1 day, 7 hours, 2 minutes.
-
To count from 1 to 137,630,214,120 would take you about eight thousand, seven hundred fifty-two 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 137630214120 cubic inches would be around 430.3 feet tall.
Recreational maths with 137630214120
- 137630214120 backwards is 021412036731
- 137630214120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137630214120's digits is 30
- More coming soon!
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