31409730139122972
31,409,730,139,122,972 is an even composite number composed of six prime numbers multiplied together.
What does the number 31409730139122972 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
31409730139122972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 31409730139122972:
22 × 34 × 72 × 13 × 193 × 2813
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 19 × 19 × 281 × 281 × 281)See below for interesting mathematical facts about the number 31409730139122972 from the Numbermatics database.
Names of 31409730139122972
- Cardinal: 31409730139122972 can be written as Thirty-one quadrillion, four hundred nine trillion, seven hundred thirty billion, one hundred thirty-nine million, one hundred twenty-two thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 3.1409730139122972 × 1016
Factors of 31409730139122972
Divisors of 31409730139122972
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 19 21 26 27 28 36 38 39 42 49 52 54 57 63 76 78 81 84 91 98 108 114 117 126 133 147 156 162 171 182 189 196 228 234 247 252 266 273 281 294 324 342 351 361 364 378 399 441 468 494 513 532 546 562 567 588 637 684 702 722 741 756 798 819 843 882 931 988 1026 1053 1083 1092 1124 1134 1197 1274 1323 1404 1444 1482 1539 1596 1638 1686 1729 1764 1862 1911 1967 2052 2106 2166 2223 2268 2394 2457 2527 2529 2548 2646 2793 2964 3078 3249 3276 3372 3458 3591 3653 3724 3822 3934 3969 4212 4332 4446 4693 4788 4914 5054 5058 5187 5292 5339 5586 5733 5901 6156 6498 6669 6859 6916 7182 7306 7371 7581 7587 7644 7868 7938 8379 8892 9386 9747 9828 10108 10116 10374 10678 10773 10959 11172 11466 11802 12103 12996 13338 13718 13769 14079 14364 14612 14742 15162 15174 15561 15876 16017 16758 17199 17689 17703 18772 19494 20007 20577 20748 21356 21546 21918 22743 22761 22932 23604 24206 25137 25571 26676 27436 27538 28158 29241 29484 30324 30348 31122 32034 32851 32877 33516 34398 35378 35406 36309 37373 38988 40014 41154 41307 42237 43092 43836 45486 45522 46683 48013 48051 48412 50274 51142 51597 53067 53109 55076 56316 58482 61731 62244 64068 65702 65754 68229 68796 69407 70756 70812 72618 74746 75411 76713 78961 80028 82308 82614 84474 89167 90972 91044 93366 96026 96102 98553 98631 100548 101441 102284 103194 106134 106218 108927 112119 116964 123462 123921 126711 131404 131508 136458 138814 140049 144039 144153 145236 149492 150822 153426 157922 159201 159327 165228 168948 178334 178997 185193 186732 192052 192204 197106 197262 202882 204687 206388 208221 212268 212436 217854 224238 229957 230139 236883 246924 247842 253422 261611 267501 272916 277628 280098 288078 288306 295659 295893 301644 304323 306852 315844 318402 318654 326781 336091 336357 356668 357994 370386 371763 380133 394212 394524 405764 409374 416442 432117 432459 435708 448476 459914 460278 473766 477603 485849 495684 506844 523222 535002 536991 552727 555579 560196 576156 576612 591318 591786 608646 624169 624663 636804 637308 653562 672182 672714 689871 690417 710087 710649 715988 740772 743526 760266 784833 802503 818748 832884 864234 864918 886977 912969 919828 920556 947532 955206 971698 980343 1008273 1009071 1026493 1046444 1070004 1073982 1105454 1111158 1115289 1182636 1183572 1217292 1248338 1249326 1296351 1307124 1318733 1344364 1345428 1379742 1380834 1420174 1421298 1432809 1457547 1487052 1500259 1520532 1569666 1605006 1610973 1658181 1728468 1729836 1773954 1825938 1872507 1873989 1910412 1927379 1943396 1960686 2016546 2018142 2052986 2069613 2071251 2130261 2131947 2147964 2210908 2222316 2230578 2354499 2407509 2496676 2498652 2592702 2637466 2660931 2738907 2759484 2761668 2840348 2842596 2865618 2915094 3000518 3024819 3027213 3079479 3139332 3210012 3221946 3316362 3400943 3547908 3651876 3745014 3747978 3854758 3869089 3889053 3921372 3956199 4033092 4036284 4105972 4139226 4142502 4260522 4263894 4369183 4372641 4461156 4500777 4708998 4815018 4832919 4970609 4974543 5185404 5274932 5321862 5477814 5617521 5621967 5731236 5782137 5830188 6001036 6049638 6054426 6158958 6208839 6390783 6395841 6443892 6632724 6801886 7063497 7185451 7222527 7490028 7495956 7709516 7738178 7778106 7912398 8216721 8278452 8285004 8521044 8527788 8738366 8745282 9001554 9074457 9231131 9238437 9417996 9630036 9665838 9941218 9949086 10202829 10501813 10643724 10955628 11235042 11243934 11564274 11607267 11868597 12099276 12108852 12317916 12417678 12781566 12791682 13107549 13117923 13491653 13502331 13603772 14126994 14370902 14445054 14498757 14911827 14923629 15476356 15556212 15824796 16433442 16852563 17346411 17476732 17490564 18003108 18148914 18462262 18476874 18626517 19172349 19331676 19503367 19882436 19898172 20405658 21003626 21190491 21556353 22188041 22470084 22487868 23128548 23214534 23737194 24835356 25055927 25563132 25583364 26215098 26235846 26983306 27004662 27223371 27693393 27715311 28253988 28504921 28741804 28890108 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1009245232926 1034985176589 1035804318003 1065314412533 1074167440892 1115481573234 1140595908894 1144836351477 1177452771747 1228334055732 1249541716956 1297601013762 1330695227043 1369689958971 1379980235452 1381072424004 1433056398354 1457798669782 1470768408837 1513867849389 1526448468636 1569937028996 1611251161338 1673222359851 1774260302724 1775664545148 1826253278628 1874312575434 1961024545116 1978441051847 2018490465852 2069970353178 2071608636006 2130628825066 2149584597531 2186698004673 2230963146468 2281191817788 2289672702954 2354905543494 2416876742007 2595202027524 2661390454086 2739379917942 2811468863151 2866112796708 2915597339564 2941536817674 3027735698778 3104955529767 3107412954009 3195943237599 3222502322676 3346444719702 3532358315241 3748625150868 3956882103694 3992085681129 4109069876913 4139940706356 4143217272012 4261257650132 4299169195062 4373396009346 4541603548167 4579345405908 4709811086988 4833753484014 5102295344237 5322780908172 5478759835884 5622937726302 5883073635348 5935323155541 6055471397556 6209911059534 6214825908018 6391886475198 6560094014019 6692889439404 7064716630482 7250630226021 7457200887731 7913764207388 7984171362258 8218139753826 8434406589453 8598338390124 8746792018692 9083207096334 9314866589301 9587829712797 9667506968028 10204590688474 10597074945723 11245875452604 11870646311082 12327209630739 12419822119068 12429651816036 12783772950396 13120188028038 13849087362929 14129433260964 14501260452042 14914401775462 15306886032711 15968342724516 16436279507652 16868813178906 17805969466623 18166414192668 18629733178602 19175659425594 19680282042057 20409181376948 21194149891446 21751890678063 22371602663193 23741292622164 24654419261478 26240376056076 27698174725858 27944599767903 28763489138391 29002520904084 29828803550924 30613772065422 31791224837169 33737626357812 35611938933246 37259466357204 38351318851188 39360564084114 41547262088787 42388299782892 43503781356126 44743205326386 45920658098133 49308838522956 53417908399869 55396349451716 55889199535806 57526978276782 59040846126171 61227544130844 63582449674338 67114807989579 71223877866492 78721128168228 83094524177574 86290467415173 87007562712252 89486410652772 91841316196266 96943611540503 106835816799738 111778399071612 115053956553564 118081692252342 124641786266361 127164899348676 134229615979158 137761974294399 160253725199607 166189048355148 172580934830346 183682632392532 193887223081006 201344423968737 213671633599476 236163384504684 249283572532722 268459231958316 275523948588798 290830834621509 320507450399214 345161869660692 373925358799083 387774446162012 402688847937474 413285922883197 498567145065444 551047897177596 581661669243018 604033271906211 641014900798428 747850717598166 805377695874948 826571845766394 872492503864527 1121776076397249 1163323338486036 1208066543812422 1495701435196332 1653143691532788 1744985007729054 2243552152794498 2416133087624844 2617477511593581 3489970015458108 4487104305588996 5234955023187162 7852432534780743 10469910046374324 15704865069561486 31409730139122972
- Sum of all divisors σ(n): 108966277821360960
- Sum of proper divisors (its aliquot sum) s(n): 77556547682237988
- 31409730139122972 is an abundant number, because the sum of its proper divisors (77556547682237988) is greater than itself. Its abundance is 46146817543115016
Bases of 31409730139122972
- Binary: 11011111001011011111011101011110110111011101101000111002
- Hexadecimal: 0x6F96FBAF6EED1C
- Base-36: 8L9TITPMTR0
Squares and roots of 31409730139122972
- 31409730139122972 squared (314097301391229722) is 986571147412529993990321338112784
- 31409730139122972 cubed (314097301391229723) is 30987933503272475845618898646436898781587381274048
-
The
square root of 31409730139122972 is 177227904.5159733643 -
The
cube root of 31409730139122972 is 315516.0103459033
Scales and comparisons
How big is 31409730139122972?- 31,409,730,139,122,972 seconds is equal to 998,732,261 years, 38 weeks, 6 days, 21 hours, 16 minutes, 12 seconds.
-
To count from 1 to 31,409,730,139,122,972 would take you about two billion, nine hundred ninety-six million, one hundred ninety-six thousand, seven hundred eighty-five 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 31409730139122972 cubic inches would be around 26293 feet tall.
Recreational maths with 31409730139122972
- 31409730139122972 backwards is 27922193103790413
- 31409730139122972 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31409730139122972's digits is 63
- More coming soon!
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"Number 31409730139122972 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 31409730139122972 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/31409730139122972/
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Numbermatics. 2024. "Number 31409730139122972 - Facts about the integer". https://numbermatics.com/n/31409730139122972/
The information we have on file for 31409730139122972 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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