137973712228352
137,973,712,228,352 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137973712228352 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1872 divisors.
137973712228352 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 137973712228352:
212 × 7 × 11 × 13 × 192 × 312 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 19 × 19 × 31 × 31 × 97)See below for interesting mathematical facts about the number 137973712228352 from the Numbermatics database.
Names of 137973712228352
- Cardinal: 137973712228352 can be written as One hundred thirty-seven trillion, nine hundred seventy-three billion, seven hundred twelve million, two hundred twenty-eight thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.37973712228352 × 1014
Factors of 137973712228352
Divisors of 137973712228352
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 31 32 38 44 52 56 62 64 76 77 88 91 97 104 112 124 128 133 143 152 154 176 182 194 208 209 217 224 247 248 256 266 286 304 308 341 352 361 364 388 403 416 418 434 448 494 496 512 532 572 589 608 616 679 682 704 722 728 776 806 832 836 868 896 961 988 992 1001 1024 1064 1067 1144 1178 1216 1232 1261 1358 1364 1408 1444 1456 1463 1552 1612 1664 1672 1729 1736 1792 1843 1922 1976 1984 2002 2048 2128 2134 2288 2356 2387 2432 2464 2522 2527 2716 2717 2728 2816 2821 2888 2912 2926 3007 3104 3224 3328 3344 3458 3472 3584 3686 3844 3952 3968 3971 4004 4096 4123 4256 4268 4433 4576 4693 4712 4774 4864 4928 5044 5054 5432 5434 5456 5632 5642 5776 5824 5852 6014 6208 6448 6479 6656 6688 6727 6916 6944 7168 7372 7469 7657 7688 7904 7936 7942 8008 8246 8512 8536 8827 8866 9152 9386 9424 9548 9728 9856 10088 10108 10571 10864 10868 10912 11191 11264 11284 11552 11648 11704 12028 12416 12493 12896 12901 12958 13312 13376 13454 13832 13871 13888 14336 14744 14938 15314 15376 15808 15872 15884 16016 16492 17024 17072 17654 17732 18259 18304 18772 18848 19019 19096 19456 19712 20176 20216 20273 21049 21142 21728 21736 21824 22382 22528 22568 23104 23296 23408 23959 24056 24832 24986 25792 25802 25916 26624 26752 26908 27664 27742 27776 27797 28672 29488 29876 30628 30752 31031 31616 31744 31768 32032 32851 32984 33077 34048 34144 35017 35308 35464 36518 36608 37544 37696 38038 38192 38912 39091 39424 40352 40432 40546 42098 42284 43456 43472 43648 44764 45056 45136 45353 46208 46592 46816 47918 48112 49664 49972 51584 51604 51623 51832 53248 53504 53599 53816 55328 55484 55552 55594 57133 58976 59752 61256 61504 62062 63232 63488 63536 64064 65702 65968 66154 68096 68288 70034 70616 70928 73036 73216 73997 75088 75392 76076 76384 77824 78182 78337 78848 80704 80864 81092 84196 84227 84568 86912 86944 87296 87451 89528 90272 90706 92416 93184 93217 93632 95836 96224 97097 99328 99944 103168 103208 103246 103664 107008 107198 107632 110656 110968 111104 111188 114266 117952 119504 122512 123008 123101 124124 126464 126976 127072 127813 128128 131404 131936 132308 136192 136576 137423 140068 141232 141856 141911 145483 146072 146432 147994 150176 150784 152152 152768 156364 156674 157696 161408 161728 162184 167713 168392 168454 169136 173824 173888 174592 174902 179056 180544 181412 184832 186368 186434 187264 191672 192448 194194 198656 199888 200849 206336 206416 206492 207328 214016 214396 215264 221312 221936 222208 222376 228532 231539 235904 237367 239008 245024 245119 246016 246202 248248 252928 254144 255626 256256 262808 263549 263872 264616 272384 273152 273637 274846 280136 282464 283712 283822 290966 292144 292864 295988 300352 301568 304304 305536 312728 313348 315392 322816 323456 324368 335426 336784 336908 338272 346921 347648 347776 349184 349804 358112 361088 361361 362824 369664 372736 372868 374528 383344 384896 385187 388388 397312 399776 399931 401698 412672 412832 412984 414656 428032 428792 430001 430528 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139649506304 143573061632 153988518112 158955889664 165040325632 165833788736 171183265792 177801175552 189524329984 191099324416 195985386688 202307495936 203201343488 223983299072 226930447744 234250784768 241212783616 259349083136 269479906696 278172806912 279299012608 307977036224 317911779328 330080651264 331667577472 342366531584 355602351104 379048659968 382198648832 391970773376 404614991872 447966598144 453860895488 482425567232 518698166272 538959813392 556345613824 558598025216 615954072448 635823558656 660161302528 663335154944 711204702208 758097319936 783941546752 895933196288 907721790976 964851134464 1037396332544 1077919626784 1112691227648 1231908144896 1326670309888 1422409404416 1516194639872 1567883093504 1791866392576 1815443581952 2155839253568 2225382455296 2463816289792 2653340619776 3135766187008 3630887163904 4311678507136 4450764910592 4927632579584 5306681239552 6271532374016 7261774327808 8623357014272 9855265159168 10613362479104 12543064748032 17246714028544 19710530318336 34493428057088 68986856114176 137973712228352
- Sum of all divisors σ(n): 408165689022336
- Sum of proper divisors (its aliquot sum) s(n): 270191976793984
- 137973712228352 is an abundant number, because the sum of its proper divisors (270191976793984) is greater than itself. Its abundance is 132218264565632
Bases of 137973712228352
- Binary: 111110101111100100000100001101100010000000000002
- Hexadecimal: 0x7D7C821B1000
- Base-36: 1CWO8XVV28
Squares and roots of 137973712228352
- 137973712228352 squared (1379737122283522) is 19036745266072090217392635904
- 137973712228352 cubed (1379737122283523) is 2626570413105472801890642882461398841950208
-
The
square root of 137973712228352 is 11746221.1893166733 -
The
cube root of 137973712228352 is 51673.2110113117
Scales and comparisons
How big is 137973712228352?- 137,973,712,228,352 seconds is equal to 4,387,137 years, 13 weeks, 6 days, 14 hours, 32 minutes, 32 seconds.
-
To count from 1 to 137,973,712,228,352 would take you about ten million, nine hundred sixty-seven thousand, eight hundred forty-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 137973712228352 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137973712228352
- 137973712228352 backwards is 253822217379731
- 137973712228352 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137973712228352's digits is 62
- More coming soon!
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"Number 137973712228352 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 137973712228352 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137973712228352/
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The information we have on file for 137973712228352 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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