137413166800
137,413,166,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137413166800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
137413166800 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 137413166800:
24 × 52 × 7 × 13 × 31 × 47 × 2591
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 31 × 47 × 2591)See below for interesting mathematical facts about the number 137413166800 from the Numbermatics database.
Names of 137413166800
- Cardinal: 137413166800 can be written as One hundred thirty-seven billion, four hundred thirteen million, one hundred sixty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.374131668 × 1011
Factors of 137413166800
Divisors of 137413166800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 35 40 47 50 52 56 62 65 70 80 91 94 100 104 112 124 130 140 155 175 182 188 200 208 217 235 248 260 280 310 325 329 350 364 376 400 403 434 455 470 496 520 560 611 620 650 658 700 728 752 775 806 868 910 940 1040 1085 1175 1222 1240 1300 1316 1400 1456 1457 1550 1612 1645 1736 1820 1880 2015 2170 2275 2350 2444 2480 2591 2600 2632 2800 2821 2914 3055 3100 3224 3290 3472 3640 3760 4030 4277 4340 4550 4700 4888 5182 5200 5264 5425 5642 5828 6110 6200 6448 6580 7280 7285 8060 8225 8554 8680 9100 9400 9776 10075 10199 10364 10850 11284 11656 12220 12400 12955 13160 14105 14570 15275 16120 16450 17108 17360 18137 18200 18800 18941 20150 20398 20728 21385 21700 22568 23312 24440 25910 26320 28210 29140 30550 32240 32900 33683 34216 36274 36400 36425 37882 40300 40796 41456 42770 43400 45136 48880 50995 51820 56420 58280 61100 64775 65800 67366 68432 70525 72548 72850 75764 80321 80600 81592 85540 86800 90685 94705 101990 103640 106925 112840 116560 121777 122200 129550 131600 132587 134732 141050 145096 145700 151528 160642 161200 163184 168415 171080 181370 189410 203980 207280 213850 225680 235781 243554 244400 254975 259100 265174 269464 282100 290192 291400 303056 321284 336830 342160 362740 378820 401605 407960 427700 453425 471562 473525 487108 509950 518200 530348 538928 562247 564200 582800 608885 642568 662935 673660 725480 757640 803210 815920 842075 852439 855400 906850 943124 947050 974216 1019900 1036400 1044173 1060696 1124494 1128400 1178905 1217770 1285136 1325870 1347320 1450960 1515280 1583101 1606420 1684150 1704878 1710800 1813700 1886248 1894100 1948432 2008025 2039800 2088346 2121392 2248988 2357810 2435540 2651740 2694640 2811235 3044425 3166202 3212840 3314675 3368300 3409756 3627400 3772496 3775087 3788200 4016050 4079600 4176692 4262195 4497976 4715620 4871080 5220865 5303480 5622470 5894525 6088850 6332404 6425680 6629350 6736600 6819512 7254800 7309211 7550174 7576400 7915505 8032100 8353384 8524390 8995952 9431240 9742160 10441730 10606960 11081707 11244940 11789050 12177700 12664808 13258700 13473200 13639024 14056175 14618422 15100348 15831010 16064200 16706768 17048780 18862480 18875435 20883460 21310975 22163414 22489880 23578100 24355400 25329616 26104325 26425609 26517400 28112350 29236844 30200696 31662020 32128400 34097560 36546055 37750870 39577525 41766920 42621950 44326828 44979760 47156200 48710800 49076131 52208650 52851218 53034800 55408535 56224700 58473688 60401392 63324040 68195120 73092110 75501740 79155050 83533840 85243900 88653656 94312400 94377175 98152262 104417300 105702436 110817070 112449400 116947376 126648080 132128045 146184220 151003480 158310100 170487800 177307312 182730275 188754350 196304524 208834600 211404872 221634140 224898800 245380655 264256090 277042675 292368440 302006960 316620200 340975600 343532917 365460550 377508700 392609048 417669200 422809744 443268280 490761310 528512180 554085350 584736880 633240400 660640225 687065834 730921100 755017400 785218096 886536560 981522620 1057024360 1108170700 1226903275 1321280450 1374131668 1461842200 1510034800 1717664585 1963045240 2114048720 2216341400 2453806550 2642560900 2748263336 2923684400 3435329170 3926090480 4432682800 4907613100 5285121800 5496526672 6870658340 8588322925 9815226200 10570243600 13741316680 17176645850 19630452400 27482633360 34353291700 68706583400 137413166800
- Sum of all divisors σ(n): 428516573184
- Sum of proper divisors (its aliquot sum) s(n): 291103406384
- 137413166800 is an abundant number, because the sum of its proper divisors (291103406384) is greater than itself. Its abundance is 153690239584
Bases of 137413166800
- Binary: 11111111111100111011010000110110100002
- Hexadecimal: 0x1FFE7686D0
- Base-36: 1R4K9234
Squares and roots of 137413166800
- 137413166800 squared (1374131668002) is 18882378410004622240000
- 137413166800 cubed (1374131668003) is 2594687414034683944636109632000000
-
The
square root of 137413166800 is 370692.8200006039 -
The
cube root of 137413166800 is 5160.3138492675
Scales and comparisons
How big is 137413166800?- 137,413,166,800 seconds is equal to 4,369 years, 16 weeks, 2 days, 4 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,413,166,800 would take you about eight thousand, seven hundred thirty-eight 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 137413166800 cubic inches would be around 430 feet tall.
Recreational maths with 137413166800
- 137413166800 backwards is 008661314731
- 137413166800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137413166800's digits is 40
- More coming soon!
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