137648088080398416157
137,648,088,080,398,416,157 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137648088080398416157 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 162 divisors.
137648088080398416157 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 137648088080398416157:
72 × 13 × 312 × 372 × 4052772
(7 × 7 × 13 × 31 × 31 × 37 × 37 × 405277 × 405277)See below for interesting mathematical facts about the number 137648088080398416157 from the Numbermatics database.
Names of 137648088080398416157
- Cardinal: 137648088080398416157 can be written as One hundred thirty-seven quintillion, six hundred forty-eight quadrillion, eighty-eight trillion, eighty billion, three hundred ninety-eight million, four hundred sixteen thousand, one hundred fifty-seven.
Scientific notation
- Scientific notation: 1.37648088080398416157 × 1020
Factors of 137648088080398416157
Divisors of 137648088080398416157
- Number of divisors d(n): 162
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Complete list of divisors:
1 7 13 31 37 49 91 217 259 403 481 637 961 1147 1369 1519 1813 2821 3367 6727 8029 9583 12493 14911 17797 19747 23569 35557 42439 47089 56203 67081 87451 104377 124579 248899 297073 405277 462241 551707 612157 730639 872053 1315609 1742293 2079511 2836939 3235687 3861949 5268601 9209263 12563587 14995249 17102917 19858573 22649809 27033643 36880207 64464841 87945109 104966743 119720419 163326631 194938237 258161449 389471197 464852719 554824213 615615763 734767201 838042933 1143286417 1364567659 2726298379 3253969033 3883769491 5063125561 6043085347 7212714769 8003004919 9551973613 14410434289 17199550603 19084088653 22777783231 27186386437 35441878927 42301597429 50489003383 100873040023 120396854221 164249446729 187335645757 223594157839 248093152489 296111182003 353423023681 533186068693 706111280161 842777979547 1149746127103 1311349520299 1565159104873 2135242807477 3732302480851 5091732848599 6077229528973 6931418893009 8048222889721 9179446642093 10956113734111 14946699652339 26126117365957 35642129940193 42540606702811 48519932251063 66192527031787 79003983876649 104626897566373 157843718306569 188394115398163 224857492572001 249494909581351 297784246919677 339639525757441 463347689222509 553027887136543 1104906028145983 1318758807787141 1574002448004007 2051968337985397 2449123500176119 2923147403436013 3243433824557563 3871195209955801 5840217577343053 6970582269732031 7734342197021881 9231311654509987 11018017136028049 14363778365897779 17143864501232833 20462031824052091 40881523041401371 48794075888124217 75922828505459689 90617569506516403 100546448561284453 120007051508629831 143234222768364637 216088050361692961 286170661289809597 341558531216869519 531459799538217823 634322986545614821 1512616352531850727 2809144654702008493 3720218596767524761 4440260905819303747 10588314467722955089 19664012582914059451 137648088080398416157
- Sum of all divisors σ(n): 183126512295182781486
- Sum of proper divisors (its aliquot sum) s(n): 45478424214784365329
- 137648088080398416157 is a deficient number, because the sum of its proper divisors (45478424214784365329) is less than itself. Its deficiency is 92169663865614050828
Bases of 137648088080398416157
- Binary: 11101110110010000000011111011010001011110111101001111111001000111012
- Hexadecimal: 0x776403ED17BD3F91D
- Base-36: T1SA6X7NLABDP
Squares and roots of 137648088080398416157
- 137648088080398416157 squared (1376480880803984161572) is 18946996152189120530942620952554158648649
- 137648088080398416157 cubed (1376480880803984161573) is 2608017795215497937054575230842376289266955632227083047821893
-
The
square root of 137648088080398416157 is 11732352197.2534738663 -
The
cube root of 137648088080398416157 is 5163252.8625373593
Scales and comparisons
How big is 137648088080398416157?- 137,648,088,080,398,416,157 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,648,088,080,398,416,157 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137648088080398416157 cubic inches would be around 430271.1 feet tall.
Recreational maths with 137648088080398416157
- 137648088080398416157 backwards is 751614893080880846731
- The number of decimal digits it has is: 21
- The sum of 137648088080398416157's digits is 97
- More coming soon!
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