137290041504
137,290,041,504 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137290041504 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137290041504 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137290041504:
25 × 34 × 7 × 11 × 59 × 89 × 131
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 59 × 89 × 131)See below for interesting mathematical facts about the number 137290041504 from the Numbermatics database.
Names of 137290041504
- Cardinal: 137290041504 can be written as One hundred thirty-seven billion, two hundred ninety million, forty-one thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37290041504 × 1011
Factors of 137290041504
Divisors of 137290041504
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 59 63 66 72 77 81 84 88 89 96 99 108 112 118 126 131 132 144 154 162 168 176 177 178 189 198 216 224 231 236 252 262 264 267 288 297 308 324 336 352 354 356 378 393 396 413 432 462 472 504 524 528 531 534 567 594 616 623 648 649 672 693 708 712 756 786 792 801 826 864 891 917 924 944 979 1008 1048 1056 1062 1068 1134 1179 1188 1232 1239 1246 1296 1298 1386 1416 1424 1441 1512 1572 1584 1593 1602 1652 1782 1834 1848 1869 1888 1947 1958 2016 2079 2096 2124 2136 2268 2358 2376 2403 2464 2478 2492 2592 2596 2751 2772 2832 2848 2882 2937 3024 3144 3168 3186 3204 3304 3537 3564 3668 3696 3717 3738 3894 3916 4158 4192 4248 4272 4323 4536 4543 4716 4752 4779 4806 4956 4984 5192 5251 5502 5544 5607 5664 5764 5841 5874 6048 6237 6288 6372 6408 6608 6853 7074 7128 7209 7336 7392 7434 7476 7729 7788 7832 8253 8316 8496 8544 8646 8811 9072 9086 9432 9504 9558 9612 9912 9968 10087 10384 10502 10611 11004 11088 11151 11214 11528 11659 11682 11748 12474 12576 12744 12816 12969 13216 13629 13706 14148 14256 14418 14672 14868 14952 15458 15576 15664 15753 16506 16632 16821 16992 17292 17523 17622 18144 18172 18864 19116 19224 19824 19936 20174 20559 20768 21004 21222 22008 22176 22302 22428 23056 23187 23318 23364 23496 24759 24948 25488 25632 25938 26433 27258 27412 28296 28512 28836 29344 29736 29904 30261 30916 31152 31328 31506 33012 33264 33453 33642 34584 34977 35046 35244 36344 36757 37728 38232 38448 38907 39648 40348 40887 41118 42008 42444 44016 44604 44856 46112 46374 46636 46728 46992 47259 49518 49896 50463 50976 51876 52569 52866 54103 54516 54824 56592 57672 57761 59472 59808 60522 61677 61832 62304 63012 66024 66528 66906 67284 69168 69561 69954 70092 70488 72688 73514 74277 76464 76896 77814 79299 80696 81613 81774 82236 84016 84888 85019 88032 89208 89712 90783 92748 93272 93456 93984 94518 99036 99792 100926 103752 104931 105138 105732 108206 109032 109648 110271 113184 115344 115522 116721 118944 121044 122661 123354 123664 126024 128249 132048 133812 134568 138336 139122 139908 140184 140976 141777 145376 147028 148554 152928 155628 158598 161392 162309 163226 163548 164472 168032 169776 170038 173283 178416 179424 181566 185031 185496 186544 186912 189036 198072 199584 201852 207504 208683 209862 210276 211464 216412 218064 219296 220542 230688 231044 233442 242088 244839 245322 246708 247328 252048 255057 256498 264096 267624 269136 272349 278244 279816 280368 281952 283554 294056 297108 311256 314793 317196 322784 324618 326452 327096 328944 330813 339552 340076 346566 356832 363132 367983 370062 370992 373088 378072 384747 396144 403704 404327 415008 417366 419724 420552 422928 425331 432824 436128 441084 462088 466884 484176 486927 489678 490644 493416 504096 510114 512996 519849 535248 538272 544698 555093 556488 559632 560736 567108 588112 594216 595133 622512 626049 629586 634392 649236 652904 654192 657888 661626 680152 687881 693132 726264 734517 735966 740124 741984 756144 765171 769494 792288 807408 808654 817047 834732 839448 841104 845856 850662 865648 882168 897743 924176 933768 944379 968352 973854 979356 981288 986832 992439 1020228 1025992 1039698 1070496 1089396 1110186 1112976 1119264 1134216 1154241 1176224 1188432 1190266 1212981 1245024 1252098 1259172 1268784 1298472 1305808 1308384 1323252 1360304 1375762 1386264 1452528 1460781 1469034 1471932 1480248 1512288 1530342 1538988 1559547 1614816 1617308 1634094 1669464 1678896 1682208 1701324 1731296 1764336 1785399 1795486 1848352 1867536 1888758 1947708 1958712 1962576 1973664 1984878 2040456 2051984 2063643 2079396 2178792 2203551 2220372 2225952 2268432 2295513 2308482 2376864 2380532 2425962 2504196 2518344 2537568 2596944 2611616 2646504 2693229 2720608 2751524 2772528 2905056 2921562 2938068 2943864 2960496 2977317 3060684 3077976 3119094 3234616 3268188 3338928 3357792 3402648 3462723 3528672 3570798 3590972 3638943 3735072 3777516 3895416 3917424 3925152 3969756 4080912 4103968 4127286 4158792 4357584 4382343 4407102 4440744 4536864 4591026 4616964 4678641 4761064 4815167 4851924 5008392 5036688 5193888 5293008 5356197 5386458 5503048 5545056 5843124 5876136 5887728 5920992 5954634 6121368 6155952 6190929 6238188 6469232 6536376 6610653 6677856 6805296 6886539 6925446 7141596 7181944 7277886 7555032 7566691 7790832 7834848 7939512 8079687 8161824 8254572 8317584 8715168 8764686 8814204 8881488 9182052 9233928 9357282 9522128 9630334 9703848 10016784 10073376 10388169 10586016 10712394 10772916 10916829 11006096 11686248 11752272 11775456 11909268 12242736 12311904 12381858 12476376 12938464 13072752 13221306 13610592 13773078 13850892 14283192 14363888 14445501 14555772 15110064 15133382 15581664 15879024 16068591 16159374 16509144 16635168 17529372 17628408 17762976 18364104 18467856 18572787 18714564 19044256 19260668 19407696 20033568 20776338 21424788 21545832 21833658 22012192 22700073 23372496 23504544 23818536 24239061 24485472 24763716 24952752 26145504 26442612 27546156 27701784 28566384 28727776 28891002 29111544 30220128 30266764 31758048 32137182 32318748 32750487 33018288 35058744 35256816 36728208 36935712 37145574 37429128 38521336 38815392 41552676 42849576 43091664 43336503 43667316 45400146 46744992 47637072 48205773 48478122 49527432 49905504 52885224 52966837 55092312 55403568 55718361 57132768 57782004 58223088 60533528 64274364 64637496 65500974 66036576 68100219 70117488 70513632 72717183 73456416 74291148 74858256 77042672 83105352 85699152 86183328 86673006 87334632 90800292 95274144 96411546 96956244 99054864 105770448 105933674 110184624 110807136 111436722 115564008 116446176 121067056 128548728 129274992 130009509 131001948 136200438 140234976 145434366 148582296 149716512 154085344 158900511 166210704 171398304 173346012 174669264 181600584 192823092 193912488 198109728 204300657 211540896 211867348 220369248 222873444 231128016 242134112 257097456 258549984 260019018 262003896 272400876 290868732 297164592 317801022 332421408 346692024 349338528 363201168 385646184 387824976 390028527 408601314 423734696 445746888 462256032 476701533 514194912 520038036 524007792 544801752 581737464 594329184 612901971 635602044 693384048 726402336 771292368 775649952 780057054 817202628 847469392 891493776 953403066 1040076072 1048015584 1089603504 1163474928 1225803942 1271204088 1386768096 1430104599 1542584736 1560114108 1634405256 1694938784 1782987552 1906806132 2080152144 2179207008 2326949856 2451607884 2542408176 2860209198 3120228216 3268810512 3813612264 4160304288 4290313797 4903215768 5084816352 5720418396 6240456432 6537621024 7627224528 8580627594 9806431536 11440836792 12480912864 15254449056 17161255188 19612863072 22881673584 34322510376 45763347168 68645020752 137290041504
- Sum of all divisors σ(n): 521632742400
- Sum of proper divisors (its aliquot sum) s(n): 384342700896
- 137290041504 is an abundant number, because the sum of its proper divisors (384342700896) is greater than itself. Its abundance is 247052659392
Bases of 137290041504
- Binary: 11111111101110001111111001000101000002
- Hexadecimal: 0x1FF71FC8A0
- Base-36: 1R2IY200
Squares and roots of 137290041504
- 137290041504 squared (1372900415042) is 18848555496170042582016
- 137290041504 cubed (1372900415043) is 2587718966359632459126423963992064
-
The
square root of 137290041504 is 370526.7082195291 -
The
cube root of 137290041504 is 5158.7721361827
Scales and comparisons
How big is 137290041504?- 137,290,041,504 seconds is equal to 4,365 years, 20 weeks, 5 days, 2 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,290,041,504 would take you about eight thousand, seven hundred thirty 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 137290041504 cubic inches would be around 429.9 feet tall.
Recreational maths with 137290041504
- 137290041504 backwards is 405140092731
- 137290041504 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137290041504's digits is 36
- More coming soon!
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The information we have on file for 137290041504 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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