137628132768
137,628,132,768 is an even composite number composed of six prime numbers multiplied together.
137628132768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137628132768:
25 × 32 × 7 × 372 × 47 × 1061
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 37 × 37 × 47 × 1061)See below for interesting mathematical facts about the number 137628132768 from the Numbermatics database.
Names of 137628132768
- Cardinal: 137628132768 can be written as One hundred thirty-seven billion, six hundred twenty-eight million, one hundred thirty-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37628132768 × 1011
Factors of 137628132768
Divisors of 137628132768
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 47 48 56 63 72 74 84 94 96 111 112 126 141 144 148 168 188 222 224 252 259 282 288 296 329 333 336 376 423 444 504 518 564 592 658 666 672 752 777 846 888 987 1008 1036 1061 1128 1184 1316 1332 1369 1504 1554 1692 1739 1776 1974 2016 2072 2122 2256 2331 2632 2664 2738 2961 3108 3183 3384 3478 3552 3948 4107 4144 4244 4512 4662 5217 5264 5328 5476 5922 6216 6366 6768 6956 7427 7896 8214 8288 8488 9324 9549 9583 10434 10528 10656 10952 11844 12173 12321 12432 12732 13536 13912 14854 15651 15792 16428 16976 18648 19098 19166 20868 21904 22281 23688 24346 24642 24864 25464 27824 28749 29708 31302 31584 32856 33952 36519 37296 38196 38332 39257 41736 43808 44562 47376 48692 49284 49867 50928 55648 57498 59416 62604 64343 65712 66843 73038 74592 76392 76664 78514 83472 86247 89124 94752 97384 98568 99734 101856 109557 114996 117771 118832 125208 128686 131424 133686 146076 149601 152784 153328 157028 166944 172494 178248 193029 194768 197136 199468 219114 229992 235542 237664 250416 257372 267372 274799 292152 299202 305568 306656 314056 344988 349069 353313 356496 386058 389536 394272 398936 438228 448803 450401 459984 471084 500832 514744 534744 549598 579087 584304 598404 628112 689976 698138 706626 712992 772116 797872 824397 876456 897606 900802 919968 942168 1029488 1047207 1069488 1099196 1158174 1168608 1196808 1256224 1351203 1379952 1396276 1413252 1452509 1544232 1595744 1648794 1752912 1795212 1801604 1845079 1884336 2058976 2094414 2138976 2198392 2316348 2393616 2473191 2702406 2759904 2792552 2826504 2905018 3088464 3141621 3297588 3505824 3590424 3603208 3690158 3768672 4053609 4188828 4357527 4396784 4632696 4787232 4946382 5404812 5535237 5585104 5653008 5810036 6176928 6283242 6595176 7180848 7206416 7380316 8107218 8377656 8715054 8793568 9265392 9892764 10167563 10809624 11070474 11170208 11306016 11620072 12566484 12915553 13072581 13190352 14361696 14412832 14760632 16214436 16605711 16755312 17430108 18530784 19785528 20335126 21619248 22140948 23240144 25132968 25831106 26145162 26380704 29521264 30502689 32428872 33211422 33510624 34860216 38746659 39571056 40670252 43238496 44281896 46480288 50265936 51662212 52290324 59042528 61005378 64857744 66422844 68267923 69720432 77493318 79142112 81340504 88563792 91508067 100531872 103324424 104580648 116239977 122010756 129715488 132845688 136535846 139440864 154986636 162681008 177127584 183016134 204803769 206648848 209161296 232479954 244021512 265691376 273071692 309973272 325362016 366032268 409607538 413297696 418322592 464959908 477875461 488043024 531382752 546143384 614411307 619946544 732064536 819215076 929919816 955750922 976086048 1092286768 1228822614 1239893088 1433626383 1464129072 1638430152 1859839632 1911501844 2184573536 2457645228 2867252766 2928258144 3276860304 3719679264 3823003688 4300879149 4915290456 5734505532 6553720608 7646007376 8601758298 9830580912 11469011064 15292014752 17203516596 19661161824 22938022128 34407033192 45876044256 68814066384 137628132768
- Sum of all divisors σ(n): 469930616064
- Sum of proper divisors (its aliquot sum) s(n): 332302483296
- 137628132768 is an abundant number, because the sum of its proper divisors (332302483296) is greater than itself. Its abundance is 194674350528
Bases of 137628132768
- Binary: 100000000010110100011010100101101000002
- Hexadecimal: 0x200B46A5A0
- Base-36: 1R848IW0
Squares and roots of 137628132768
- 137628132768 squared (1376281327682) is 18941502929206235341824
- 137628132768 cubed (1376281327683) is 2606883679966256662478007335288832
-
The
square root of 137628132768 is 370982.6583116791 -
The
cube root of 137628132768 is 5163.0033390247
Scales and comparisons
How big is 137628132768?- 137,628,132,768 seconds is equal to 4,376 years, 7 weeks, 5 days, 4 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,628,132,768 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 137628132768 cubic inches would be around 430.3 feet tall.
Recreational maths with 137628132768
- 137628132768 backwards is 867231826731
- The number of decimal digits it has is: 12
- The sum of 137628132768's digits is 54
- More coming soon!
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