131938364375664
131,938,364,375,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 131938364375664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
131938364375664 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 131938364375664:
24 × 3 × 75 × 112 × 17 × 433
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 17 × 43 × 43 × 43)See below for interesting mathematical facts about the number 131938364375664 from the Numbermatics database.
Names of 131938364375664
- Cardinal: 131938364375664 can be written as One hundred thirty-one trillion, nine hundred thirty-eight billion, three hundred sixty-four million, three hundred seventy-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.31938364375664 × 1014
Factors of 131938364375664
Divisors of 131938364375664
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 43 44 48 49 51 56 66 68 77 84 86 88 98 102 112 119 121 129 132 136 147 154 168 172 176 187 196 204 231 238 242 258 264 272 294 301 308 336 343 344 357 363 374 392 408 462 473 476 484 516 528 539 561 588 602 616 686 688 714 726 731 748 784 816 833 847 903 924 946 952 968 1029 1032 1078 1122 1176 1204 1232 1309 1372 1419 1428 1452 1462 1496 1617 1666 1694 1806 1848 1849 1892 1904 1936 2057 2058 2064 2107 2156 2193 2244 2352 2401 2408 2499 2541 2618 2744 2838 2856 2904 2924 2992 3234 3311 3332 3388 3612 3696 3698 3773 3784 3927 4114 4116 4214 4312 4386 4488 4802 4816 4998 5082 5117 5203 5236 5488 5547 5676 5712 5808 5831 5848 5929 6171 6321 6468 6622 6664 6776 7203 7224 7396 7546 7568 7854 8041 8228 8232 8428 8624 8772 8976 9163 9604 9933 9996 10164 10234 10406 10472 11094 11319 11352 11662 11696 11858 12342 12642 12936 12943 13244 13328 13552 14399 14406 14448 14749 14792 15092 15351 15609 15708 16082 16456 16464 16807 16856 17493 17544 17787 18326 19208 19866 19992 20328 20339 20468 20812 20944 22188 22638 22704 23177 23324 23716 24123 24684 25284 25872 25886 26411 26488 27489 28798 28812 29498 29584 30184 30702 31218 31416 31433 32164 32912 33614 33712 34986 35088 35574 35819 36421 36652 38416 38829 39732 39984 40656 40678 40817 40936 41503 41624 43197 44247 44376 45276 46354 46648 47432 48246 49368 50421 50568 51772 52822 52976 54978 56287 57596 57624 58996 60368 61017 61404 62436 62832 62866 64141 64328 67228 69531 69972 71148 71638 72842 73304 77658 79233 79464 79507 81356 81634 81872 83006 83248 86394 88451 88494 88752 90552 90601 92708 93296 94299 94864 96492 98736 100793 100842 101136 103243 103544 105644 107457 109263 109956 112574 115192 115248 117992 122034 122451 122808 124509 124872 125732 128282 128656 134456 139062 139944 142296 142373 143276 145684 146608 155316 158466 158928 159014 162239 162712 163268 166012 168861 172788 176902 176988 181104 181202 184877 185416 188598 192423 192984 201586 201684 206486 207088 211288 214914 218526 219912 220031 223729 225148 230384 235984 238521 244068 244902 245616 249018 249744 250733 251464 254947 256564 265353 268912 271803 278124 279888 284592 284746 285719 286552 290521 291368 302379 309729 310632 316932 318028 324478 325424 326536 332024 337722 345576 345763 353804 353976 362404 369754 370832 377196 384846 385968 394009 403172 403368 412972 422576 427119 429828 437052 439824 440062 447458 448987 450296 477042 486717 488136 489804 498036 501466 502928 509894 513128 530706 543606 554631 556248 556549 569492 571438 573104 581042 582736 604758 619157 619458 621264 633864 634207 636056 648956 653072 660093 664048 671187 675444 691152 691526 705551 707608 707952 722701 724808 739508 752199 754392 764841 769692 788018 806344 806736 825944 854238 857157 859656 871563 874104 874577 880124 894916 897974 900592 954084 973434 976272 979608 996072 996611 1002932 1019788 1026256 1037289 1061412 1087212 1109262 1112496 1113098 1135673 1138984 1142876 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794751972 808109148 810870522 813234576 829727976 830176963 832597304 849483404 899939733 905647596 920868564 926709168 927210634 942794006 948773672 981275394 1025512719 1028502552 1049361852 1056588862 1059669296 1074346658 1077478864 1081160696 1118197542 1144821293 1145377842 1172014536 1199919644 1207530128 1227824752 1248895956 1274225106 1277940048 1304563799 1308367192 1309003248 1336274149 1367350292 1390815951 1399149136 1414191009 1423160508 1456257264 1457045282 1486595957 1490930056 1491654864 1527170456 1584883293 1589503944 1611519987 1616218296 1621741044 1659455952 1660353926 1665194608 1698966808 1799879466 1811295192 1841737128 1854421268 1885588012 1897547344 1962550788 2051025438 2057005104 2098723704 2099859377 2113177724 2148693316 2162321392 2185567923 2236395084 2289642586 2290755684 2344029072 2399839288 2490530889 2497791912 2548450212 2609127598 2616734384 2672548298 2734700584 2781631902 2828382018 2846321016 2914090564 2973191914 2981860112 3054340912 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14399035728 14699015639 15040853212 15298975461 15654765588 16027498102 16035289788 16408203504 16798875016 17433716223 17484543384 17839151484 18263893186 18317140688 19471423314 19798674126 19924247112 20398633948 20873020784 21380386384 22253055216 22561279818 22627056144 22716660533 23098453147 23244954964 23785535312 24041247153 25198312524 25358132688 25784319792 25961897752 26398232168 27395839779 27475711032 29398031278 30081706424 30597950922 31309531176 32054996204 32070579576 33597750032 34867432446 34969086768 35678302968 35697609409 36527786372 38942846628 39597348252 39848494224 40797267896 44097046917 45122559636 45433321066 46196906294 46489909928 48082494306 50396625048 51923795504 52796464336 54791679558 54951422064 56096243357 58796062556 60163412848 61195901844 62619062352 63923626151 64109992408 64141159152 68149981599 69295359441 69734864892 71356605936 71395218818 73055572744 77885693256 79194696504 81594535792 88194093834 90245119272 90866642132 92393812588 92979819856 96164988612 100793250096 107092828227 109583359116 112192486714 117592125112 122391803688 127847252302 128219984816 136299963198 138590718882 139469729784 142790437636 146111145488 155771386512 158389393008 161689172029 168288730071 176388187668 180490238544 181733284264 184787625176 191770878453 192329977224 214185656454 219166718232 224384973428 235184250224 244783607376 249883265863 255694504604 272599926396 277181437764 278939459568 285580875272 323378344058 336577460142 352776375336 363466568528 369575250352 383541756906 384659954448 392673703499 428371312908 438333436464 448769946856 485067516087 499766531726 511389009208 545199852792 554362875528 571161750544 646756688116 673154920284 705552750672 749649797589 767083513812 785347406998 856742625816 897539893712 970135032174 999533063452 1022778018416 1090399705584 1108725751056 1178021110497 1293513376232 1346309840568 1499299595178 1534167027624 1570694813996 1713485251632 1940270064348 1999066126904 2356042220994 2587026752464 2692619681136 2748715924493 2998599190356 3068334055248 3141389627992 3880540128696 3998132253808 4712084441988 5497431848986 5997198380712 6282779255984 7761080257392 8246147773479 9424168883976 10994863697972 11994396761424 16492295546958 18848337767952 21989727395944 32984591093916 43979454791888 65969182187832 131938364375664
- Sum of all divisors σ(n): 473809249267200
- Sum of proper divisors (its aliquot sum) s(n): 341870884891536
- 131938364375664 is an abundant number, because the sum of its proper divisors (341870884891536) is greater than itself. Its abundance is 209932520515872
Bases of 131938364375664
- Binary: 111011111111111010010110101011101000010011100002
- Hexadecimal: 0x77FF4B574270
- Base-36: 1ARNNBLNQO
Squares and roots of 131938364375664
- 131938364375664 squared (1319383643756642) is 17407731994125483288515440896
- 131938364375664 cubed (1319383643756643) is 2296747686794832107637222814653798732754944
-
The
square root of 131938364375664 is 11486442.6336296131 -
The
cube root of 131938364375664 is 50908.5075482019
Scales and comparisons
How big is 131938364375664?- 131,938,364,375,664 seconds is equal to 4,195,231 years, 45 weeks, 3 days, 11 hours, 54 minutes, 24 seconds.
-
To count from 1 to 131,938,364,375,664 would take you about ten million, four hundred eighty-eight thousand and seventy-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 131938364375664 cubic inches would be around 4242.4 feet tall.
Recreational maths with 131938364375664
- 131938364375664 backwards is 466573463839131
- The number of decimal digits it has is: 15
- The sum of 131938364375664's digits is 69
- More coming soon!
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"Number 131938364375664 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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The information we have on file for 131938364375664 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!
Keywords: Divisors of 131938364375664, math, Factors of 131938364375664, curriculum, school, college, exams, university, Prime factorization of 131938364375664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, nine hundred thirty-eight billion, three hundred sixty-four million, three hundred seventy-five thousand, six hundred sixty-four.