137026309484064
137,026,309,484,064 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137026309484064 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
137026309484064 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137026309484064:
25 × 3 × 7 × 11 × 13 × 31 × 211 × 277 × 787
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 31 × 211 × 277 × 787)See below for interesting mathematical facts about the number 137026309484064 from the Numbermatics database.
Names of 137026309484064
- Cardinal: 137026309484064 can be written as One hundred thirty-seven trillion, twenty-six billion, three hundred nine million, four hundred eighty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.37026309484064 × 1014
Factors of 137026309484064
Divisors of 137026309484064
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 32 33 39 42 44 48 52 56 62 66 77 78 84 88 91 93 96 104 112 124 132 143 154 156 168 176 182 186 208 211 217 224 231 248 264 273 277 286 308 312 336 341 352 364 372 403 416 422 429 434 462 496 528 546 554 572 616 624 633 651 672 682 728 744 787 806 831 844 858 868 924 992 1001 1023 1056 1092 1108 1144 1209 1232 1248 1266 1302 1364 1456 1477 1488 1574 1612 1662 1688 1716 1736 1848 1939 2002 2046 2184 2216 2288 2321 2361 2387 2418 2464 2532 2604 2728 2743 2821 2912 2954 2976 3003 3047 3148 3224 3324 3376 3432 3472 3601 3696 3878 4004 4092 4368 4431 4432 4433 4576 4642 4722 4774 4836 5064 5208 5456 5486 5509 5642 5817 5908 6006 6094 6296 6448 6541 6648 6752 6864 6944 6963 7161 7202 7392 7756 8008 8184 8229 8463 8587 8657 8736 8862 8864 8866 9141 9284 9444 9548 9672 10128 10231 10416 10803 10912 10972 11018 11284 11634 11816 12012 12188 12592 12896 13082 13296 13299 13728 13926 14322 14404 15512 16016 16247 16368 16458 16527 16926 17174 17314 17724 17732 18282 18568 18888 19096 19201 19344 19623 20256 20462 20832 21329 21606 21944 22036 22568 23268 23632 24024 24376 24397 25184 25207 25761 25971 26164 26592 26598 27852 28644 28808 30173 30693 31024 31031 32032 32494 32736 32916 33054 33852 34348 34628 35448 35464 36564 37136 37776 38192 38402 38688 39246 39611 40924 42658 43212 43888 44072 45136 45787 46536 47264 48048 48741 48752 48794 50414 51522 51942 52328 53196 55704 57288 57603 57616 58447 60109 60346 60599 61386 62048 62062 63987 64988 65832 66108 67704 68696 69256 70896 70928 71617 71951 73128 73191 74272 75552 75621 76384 76804 78492 79222 81848 85033 85316 86424 87776 88144 90272 90519 91574 93072 93093 94457 96096 97482 97504 97588 100828 103044 103884 104656 106392 111408 111631 112541 114576 115206 115232 116894 118833 120218 120692 121198 122772 124124 127974 129976 131664 132216 135408 137361 137392 138512 141792 141856 143234 143902 146256 146382 151242 153608 156984 158444 163696 166057 170066 170632 170779 172848 175341 176288 180327 181038 181797 183148 186144 186186 188914 194964 195176 201656 206088 207768 209312 211211 212784 214851 215853 217999 222816 223262 225082 229152 230412 233788 237666 240436 241384 242396 245544 248248 255099 255948 259952 263328 264432 268367 270816 274722 274784 277024 277277 283371 286468 287804 292512 292764 302484 307216 313968 316888 317161 327392 332114 334893 337623 340132 341264 341558 345696 350682 360654 362076 363594 366296 372372 377828 389928 390352 403312 409129 412176 415536 422422 425568 429702 431706 435998 446524 450164 460824 467576 475332 480872 482768 484792 491088 496496 498171 503657 510198 511896 512337 519904 528864 536734 549444 554554 566742 572936 575608 585528 595231 604968 614432 627936 633633 633776 634322 642917 653997 661199 664228 669786 675246 680264 682528 683116 701364 721308 724152 727188 732592 744744 755656 759811 779856 780704 781417 787787 805101 806624 818258 824352 831072 831831 844844 859404 863412 871996 893048 900328 921648 935152 935363 950664 951483 961744 965536 969584 982176 992992 996342 1007314 1020396 1023792 1024674 1073468 1098888 1109108 1133484 1145872 1151216 1162399 1171056 1190462 1209936 1227387 1227941 1267266 1267552 1268644 1285834 1307994 1322398 1328456 1339572 1350492 1360528 1366232 1402728 1442616 1448304 1454376 1465184 1489488 1510971 1511312 1519622 1525993 1559712 1562834 1575574 1610202 1636516 1663662 1689688 1718808 1726824 1743992 1785693 1786096 1800656 1811857 1826627 1843296 1870304 1870726 1878569 1901328 1902966 1923488 1928751 1939168 1983597 1992684 2014628 2040792 2047584 2049348 2146936 2158741 2197776 2218216 2220127 2266968 2279433 2291744 2302432 2324798 2342112 2344251 2363361 2380924 2397989 2419872 2454774 2455882 2534532 2537288 2571668 2615988 2644796 2656912 2679144 2700984 2721056 2732464 2805456 2806089 2833987 2885232 2896608 2908752 2978976 3021942 3022624 3039244 3051986 3125668 3151148 3220404 3273032 3327324 3379376 3437616 3453648 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19963040426 20294180907 20611659068 20948831904 21250978518 21764026284 22485446256 22814903344 23193349608 23556181792 24286832592 24873172896 24977453424 25114792794 26310735308 27058907876 28334638024 28702620336 29018701712 29518808592 29944560639 30910514208 30917488602 30924466144 31370492098 33486390392 34222355016 35334272688 37074217934 38052293664 39466102962 39926080852 40588361814 41223318136 42501957036 43528052568 44970892512 45629806688 46043786789 46386699216 47055738147 48573665184 49954906848 50229585588 52621470616 54117815752 55611326901 56669276048 57405240672 58037403424 59037617184 59889121278 61834977204 62740984196 66972780784 68444710032 70668545376 74148435868 78932205924 79852161704 81176723628 82446636272 85003914072 87056105136 92087573578 92773398432 94111476294 100459171176 105242941232 108235631504 109796722343 111222653802 113338552096 119778242556 123669954408 125481968392 129759762769 133945561568 136889420064 138131360367 148296871736 157864411848 159704323408 162353447256 164893272544 170007828144 174112210272 184175147156 188222952588 200918342352 203908198637 210485882464 216471263008 219593444686 222445307604 239556485112 247339908816 250963936784 259519525538 276262720734 296593743472 315728823696 319408646816 324706894512 329390167029 340015656288 368350294312 376445905176 389279288307 401836684704 407816397274 439186889372 444890615208 479112970224 494679817632 501927873568 519039051076 552525441468 593187486944 611724595911 631457647392 649413789024 658780334058 736700588624 752891810352 778558576614 815632794548 878373778744 889781230416 958225940448 1038078102152 1105050882936 1223449191822 1317560668116 1427357390459 1473401177248 1505783620704 1557117153228 1631265589096 1756747557488 1779562460832 2076156204304 2210101765872 2446898383644 2635121336232 2854714780918 3114234306456 3262531178192 3513495114976 4152312408608 4282072171377 4420203531744 4893796767288 5270242672464 5709429561836 6228468612912 6525062356384 8564144342754 9787593534576 10540485344928 11418859123672 12456937225824 17128288685508 19575187069152 22837718247344 34256577371016 45675436494688 68513154742032 137026309484064
- Sum of all divisors σ(n): 503334457049088
- Sum of proper divisors (its aliquot sum) s(n): 366308147565024
- 137026309484064 is an abundant number, because the sum of its proper divisors (366308147565024) is greater than itself. Its abundance is 229281838080960
Bases of 137026309484064
- Binary: 111110010011111111011001000000001101110001000002
- Hexadecimal: 0x7C9FEC806E20
- Base-36: 1CKL0MR31C
Squares and roots of 137026309484064
- 137026309484064 squared (1370263094840642) is 18776209490822487713869956096
- 137026309484064 cubed (1370263094840643) is 2572834692627061936594944882553676091654144
-
The
square root of 137026309484064 is 11705823.7422260891 -
The
cube root of 137026309484064 is 51554.6671189099
Scales and comparisons
How big is 137026309484064?- 137,026,309,484,064 seconds is equal to 4,357,012 years, 41 weeks, 1 day, 1 hour, 34 minutes, 24 seconds.
-
To count from 1 to 137,026,309,484,064 would take you about ten million, eight hundred ninety-two thousand, five hundred thirty-one 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 137026309484064 cubic inches would be around 4296.2 feet tall.
Recreational maths with 137026309484064
- 137026309484064 backwards is 460484903620731
- The number of decimal digits it has is: 15
- The sum of 137026309484064's digits is 57
- More coming soon!
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MLA style:
"Number 137026309484064 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137026309484064 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137026309484064/
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The information we have on file for 137026309484064 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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