131038138413
131,038,138,413 is an odd composite number composed of seven prime numbers multiplied together.
131038138413 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 131038138413:
32 × 7 × 13 × 17 × 192 × 292 × 31
(3 × 3 × 7 × 13 × 17 × 19 × 19 × 29 × 29 × 31)See below for interesting mathematical facts about the number 131038138413 from the Numbermatics database.
Names of 131038138413
- Cardinal: 131038138413 can be written as One hundred thirty-one billion, thirty-eight million, one hundred thirty-eight thousand, four hundred thirteen.
Scientific notation
- Scientific notation: 1.31038138413 × 1011
Factors of 131038138413
Divisors of 131038138413
- Number of divisors d(n): 432
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Complete list of divisors:
1 3 7 9 13 17 19 21 29 31 39 51 57 63 87 91 93 117 119 133 153 171 203 217 221 247 261 273 279 323 357 361 377 399 403 493 527 551 589 609 651 663 741 819 841 899 969 1071 1083 1131 1197 1209 1479 1547 1581 1653 1729 1767 1827 1953 1989 2223 2261 2523 2527 2639 2697 2821 2907 3249 3393 3451 3627 3689 3857 4123 4199 4437 4641 4693 4743 4959 5187 5301 5887 6137 6293 6409 6783 6851 7163 7569 7581 7657 7917 8091 8463 9367 10013 10353 10469 10933 11067 11191 11571 11687 12369 12597 13923 14079 14297 15283 15561 15979 17081 17661 18411 18879 19227 20349 20553 21489 22743 22971 23751 25389 26071 28101 29393 30039 31059 31407 32799 32851 33201 33573 34713 35061 37107 37791 42237 42891 42959 44863 45849 47937 47957 50141 51243 52983 53599 55233 56637 57681 61659 64467 65569 68913 70091 73283 76531 78213 78337 79781 81809 84303 88179 90117 94221 98397 98553 100079 100719 105183 106981 111853 119567 121771 128673 128877 130169 134589 136097 137547 143811 143871 145483 150423 153729 160797 177973 182497 185861 190247 196707 198679 207727 210273 219849 222053 229593 234639 235011 239343 245427 264537 271643 290377 295659 300237 303601 320943 324539 335559 338923 358701 365313 386631 390507 403767 408291 431613 436449 443207 451269 482391 495349 533919 547491 557583 558467 570741 590121 596037 623181 630819 659547 666159 688779 705033 718029 736281 814929 852397 871131 900711 910803 911183 952679 962829 973617 1006677 1016769 1018381 1076103 1095939 1171521 1224873 1245811 1301027 1309347 1329621 1331729 1390753 1454089 1486047 1554371 1601757 1642473 1672749 1675401 1712223 1788111 1869543 1901501 1998477 2032639 2125207 2271773 2313649 2372461 2444787 2473211 2557191 2613393 2732409 2733549 2858037 2920851 3050307 3055143 3102449 3467443 3531359 3737433 3774901 3903081 3946813 3988863 3995187 4172259 4219007 4362267 4458141 4663113 5026203 5161217 5517163 5704503 5761691 6097917 6375621 6439537 6815319 6940947 7117383 7419633 7671573 8200647 8420933 8574111 9165429 9307347 9411631 10402329 10594077 11212299 11324703 11709243 11840439 11985561 12516777 12657021 13086801 13989339 15483651 16195543 16551489 17113509 17285073 17312477 18293751 19126863 19318611 20445957 20822841 21352149 22258899 24719513 25262799 26424307 27627691 27922041 28234893 29533049 31206987 31782231 33974109 35521317 36128519 37971063 38620141 40331837 45076759 46450953 48586629 49654467 51855219 51937431 57955833 58946531 65881417 67095821 71723119 74158539 75788397 79272921 82883073 84704679 88599147 108385557 109472129 115860423 120995511 122351203 135230277 145759887 155812293 159997727 176839593 197644251 201287463 215169357 222475617 237818763 248649219 265797441 325156671 328416387 347581269 362986533 367053609 405690831 469670747 479993181 502061833 530518779 592932753 603862389 645508071 766304903 856458421 985249161 1101160827 1119984089 1409012241 1439979543 1506185499 2079970451 2298914709 2569375263 3359952267 4227036723 4518556497 6239911353 6896744127 7708125789 10079856801 14559793157 18719734059 43679379471 131038138413
- Sum of all divisors σ(n): 278308832256
- Sum of proper divisors (its aliquot sum) s(n): 147270693843
- 131038138413 is an abundant number, because the sum of its proper divisors (147270693843) is greater than itself. Its abundance is 16232555430
Bases of 131038138413
- Binary: 11110100000100111101101010000001011012
- Hexadecimal: 0x1E827B502D
- Base-36: 1O74Q2P9
Squares and roots of 131038138413
- 131038138413 squared (1310381384132) is 17170993718744546158569
- 131038138413 cubed (1310381384133) is 2250055051605601432115432068010997
-
The
square root of 131038138413 is 361991.9037948225 -
The
cube root of 131038138413 is 5079.2458943881
Scales and comparisons
How big is 131038138413?- 131,038,138,413 seconds is equal to 4,166 years, 31 weeks, 4 days, 2 hours, 53 minutes, 33 seconds.
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To count from 1 to 131,038,138,413 would take you about eight thousand, three hundred thirty-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 131038138413 cubic inches would be around 423.3 feet tall.
Recreational maths with 131038138413
- 131038138413 backwards is 314831830131
- The number of decimal digits it has is: 12
- The sum of 131038138413's digits is 36
- More coming soon!
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