137643977328
137,643,977,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137643977328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
137643977328 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 137643977328:
24 × 3 × 11 × 13 × 53 × 71 × 732
(2 × 2 × 2 × 2 × 3 × 11 × 13 × 53 × 71 × 73 × 73)See below for interesting mathematical facts about the number 137643977328 from the Numbermatics database.
Names of 137643977328
- Cardinal: 137643977328 can be written as One hundred thirty-seven billion, six hundred forty-three million, nine hundred seventy-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37643977328 × 1011
Factors of 137643977328
Divisors of 137643977328
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 53 66 71 73 78 88 104 106 132 142 143 146 156 159 176 208 212 213 219 264 284 286 292 312 318 424 426 429 438 528 568 572 583 584 624 636 689 781 803 848 852 858 876 923 949 1136 1144 1166 1168 1272 1378 1562 1606 1704 1716 1749 1752 1846 1898 2067 2288 2332 2343 2409 2544 2756 2769 2847 3124 3212 3408 3432 3498 3504 3692 3763 3796 3869 4134 4664 4686 4818 5183 5329 5512 5538 5694 6248 6424 6864 6996 7384 7526 7579 7592 7738 8268 9328 9372 9636 10153 10366 10439 10658 11024 11076 11289 11388 11607 12496 12848 13992 14768 15052 15158 15184 15476 15549 15987 16536 18744 19272 20306 20732 20878 21316 22152 22578 22737 22776 23214 27984 30104 30316 30459 30952 31098 31317 31974 33072 37488 38544 40612 41393 41464 41756 42559 42632 44304 45156 45474 45552 46428 48919 50297 57013 58619 60208 60632 60918 61904 62196 62634 63948 67379 69277 81224 82786 82928 83512 85118 85264 90312 90948 92856 97838 100594 114026 117238 121264 121836 124179 124392 125268 127677 127896 134758 138554 146757 150891 162448 165572 167024 170236 171039 175857 180624 181896 185712 195676 201188 202137 207831 228052 234476 243672 248358 248784 250536 255354 255792 269516 274699 277108 282437 293514 301782 331144 340472 342078 351714 363792 378359 391352 402376 404274 415662 456104 468952 487344 496716 501072 510708 538109 539032 549398 553267 554216 564874 587028 603564 662288 680944 684156 703428 741169 756718 762047 782704 804752 808548 824097 831324 847311 912208 937904 993432 1021416 1076218 1078064 1098796 1106534 1108432 1129748 1135077 1174056 1207128 1368312 1406856 1482338 1513436 1524094 1614327 1617096 1648194 1659801 1662648 1694622 1986864 2042832 2152436 2197592 2213068 2223507 2259496 2270154 2286141 2348112 2414256 2736624 2813712 2964676 3021689 3026872 3048188 3106807 3228654 3234192 3296388 3319602 3325296 3389244 3571087 3671681 4161949 4304872 4395184 4426136 4447014 4518992 4540308 4572282 4918667 5929352 6043378 6053744 6096376 6213614 6457308 6592776 6639204 6778488 7142174 7343362 8323898 8609744 8852272 8894028 9065067 9080616 9144564 9320421 9837334 10713261 11015043 11858704 12086756 12192752 12427228 12485847 12914616 13185552 13278408 13556976 14284348 14686724 14756001 16647796 17788056 18130134 18161232 18289128 18640842 19674668 20053027 21426522 22030086 24173512 24854456 24971694 25829232 26556816 28568696 29373448 29512002 33295592 35576112 36260268 36578256 37281684 39281957 39349336 40106054 40388491 42853044 44060172 48347024 49708912 49943388 54105337 57137392 58746896 59024004 60159081 66591184 72520536 74563368 78563914 78698672 80212108 80776982 85706088 88120344 99886776 108210674 117845871 118048008 120318162 121165473 145041072 149126736 157127828 160424216 161553964 162316011 171412176 176240688 199773552 216421348 220583297 235691742 236096016 240636324 242330946 260689351 314255656 320848432 323107928 324632022 432842696 441166594 471383484 481272648 484661892 521378702 628511312 646215856 649264044 661749891 782068053 865685392 882333188 942766968 962545296 969323784 1042757404 1298528088 1323499782 1564136106 1764666376 1885533936 1938647568 2085514808 2597056176 2646999564 2867582861 3128272212 3529332752 4171029616 5293999128 5735165722 6256544424 8602748583 10587998256 11470331444 12513088848 17205497166 22940662888 34410994332 45881325776 68821988664 137643977328
- Sum of all divisors σ(n): 437614990848
- Sum of proper divisors (its aliquot sum) s(n): 299971013520
- 137643977328 is an abundant number, because the sum of its proper divisors (299971013520) is greater than itself. Its abundance is 162327036192
Bases of 137643977328
- Binary: 100000000011000011100001101010011100002
- Hexadecimal: 0x200C386A70
- Base-36: 1R8DO4MO
Squares and roots of 137643977328
- 137643977328 squared (1376439773282) is 18945864494670978019584
- 137643977328 cubed (1376439773283) is 2607784142963852275347206435991552
-
The
square root of 137643977328 is 371004.0125497297 -
The
cube root of 137643977328 is 5163.2014631907
Scales and comparisons
How big is 137643977328?- 137,643,977,328 seconds is equal to 4,376 years, 33 weeks, 6 days, 14 hours, 8 minutes, 48 seconds.
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To count from 1 to 137,643,977,328 would take you about eight thousand, seven hundred fifty-three 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 137643977328 cubic inches would be around 430.3 feet tall.
Recreational maths with 137643977328
- 137643977328 backwards is 823779346731
- The number of decimal digits it has is: 12
- The sum of 137643977328's digits is 60
- More coming soon!
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