137466420
137,466,420 is an even composite number composed of seven prime numbers multiplied together.
137466420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137466420:
22 × 3 × 5 × 7 × 13 × 17 × 1481
(2 × 2 × 3 × 5 × 7 × 13 × 17 × 1481)See below for interesting mathematical facts about the number 137466420 from the Numbermatics database.
Names of 137466420
- Cardinal: 137466420 can be written as One hundred thirty-seven million, four hundred sixty-six thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3746642 × 108
Factors of 137466420
Divisors of 137466420
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 17 20 21 26 28 30 34 35 39 42 51 52 60 65 68 70 78 84 85 91 102 105 119 130 140 156 170 182 195 204 210 221 238 255 260 273 340 357 364 390 420 442 455 476 510 546 595 663 714 780 884 910 1020 1092 1105 1190 1326 1365 1428 1481 1547 1785 1820 2210 2380 2652 2730 2962 3094 3315 3570 4420 4443 4641 5460 5924 6188 6630 7140 7405 7735 8886 9282 10367 13260 14810 15470 17772 18564 19253 20734 22215 23205 25177 29620 30940 31101 38506 41468 44430 46410 50354 51835 57759 62202 75531 77012 88860 92820 96265 100708 103670 115518 124404 125885 134771 151062 155505 176239 192530 207340 231036 251770 269542 288795 302124 311010 327301 352478 377655 385060 404313 503540 528717 539084 577590 622020 654602 673855 704956 755310 808626 881195 981903 1057434 1155180 1309204 1347710 1510620 1617252 1636505 1762390 1963806 2021565 2114868 2291107 2643585 2695420 3273010 3524780 3927612 4043130 4582214 4909515 5287170 6546020 6873321 8086260 9164428 9819030 10574340 11455535 13746642 19638060 22911070 27493284 34366605 45822140 68733210 137466420
- Sum of all divisors σ(n): 501935616
- Sum of proper divisors (its aliquot sum) s(n): 364469196
- 137466420 is an abundant number, because the sum of its proper divisors (364469196) is greater than itself. Its abundance is 227002776
Bases of 137466420
- Binary: 10000011000110010010001101002
- Hexadecimal: 0x8319234
- Base-36: 29UDRO
Squares and roots of 137466420
- 137466420 squared (1374664202) is 18897016627616400
- 137466420 cubed (1374664203) is 2597705224478899641288000
-
The
square root of 137466420 is 11724.6074561155 -
The
cube root of 137466420 is 516.0980373785
Scales and comparisons
How big is 137466420?- 137,466,420 seconds is equal to 4 years, 19 weeks, 2 days, 1 hour, 7 minutes.
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To count from 1 to 137,466,420 would take you about six 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 137466420 cubic inches would be around 43 feet tall.
Recreational maths with 137466420
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