137968731648
137,968,731,648 is an even composite number composed of six prime numbers multiplied together.
137968731648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137968731648:
29 × 33 × 11 × 17 × 19 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 17 × 19 × 53 × 53)See below for interesting mathematical facts about the number 137968731648 from the Numbermatics database.
Names of 137968731648
- Cardinal: 137968731648 can be written as One hundred thirty-seven billion, nine hundred sixty-eight million, seven hundred thirty-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.37968731648 × 1011
Factors of 137968731648
Divisors of 137968731648
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 19 22 24 27 32 33 34 36 38 44 48 51 53 54 57 64 66 68 72 76 88 96 99 102 106 108 114 128 132 136 144 152 153 159 171 176 187 192 198 204 209 212 216 228 256 264 272 288 297 304 306 318 323 342 352 374 384 396 408 418 424 432 456 459 477 512 513 528 544 561 576 583 594 608 612 627 636 646 684 704 748 768 792 816 836 848 864 901 912 918 954 969 1007 1026 1056 1088 1122 1152 1166 1188 1216 1224 1254 1272 1292 1368 1408 1431 1496 1536 1584 1632 1672 1683 1696 1728 1749 1802 1824 1836 1881 1908 1938 2014 2052 2112 2176 2244 2304 2332 2376 2432 2448 2508 2544 2584 2703 2736 2809 2816 2862 2907 2992 3021 3168 3264 3344 3366 3392 3456 3498 3553 3604 3648 3672 3762 3816 3876 4028 4104 4224 4352 4488 4608 4664 4752 4864 4896 5016 5049 5088 5168 5247 5406 5472 5618 5632 5643 5724 5814 5984 6042 6336 6528 6688 6732 6784 6912 6996 7106 7208 7296 7344 7524 7632 7752 8056 8109 8208 8427 8448 8704 8721 8976 9063 9328 9504 9728 9792 9911 10032 10098 10176 10336 10494 10659 10812 10944 11077 11236 11286 11448 11628 11968 12084 12672 13056 13376 13464 13568 13824 13992 14212 14416 14592 14688 15048 15264 15504 15741 16112 16218 16416 16854 16896 17119 17442 17952 18126 18656 19008 19584 19822 20064 20196 20352 20672 20988 21318 21624 21888 22154 22472 22572 22896 23256 23936 24168 24327 25281 25344 26112 26752 26928 27136 27189 27984 28424 28832 29184 29376 29733 30096 30528 30899 31008 31482 31977 32224 32436 32832 33231 33708 34238 34884 35904 36252 37312 38016 39168 39644 40128 40392 40704 41344 41976 42636 43248 43776 44308 44944 45144 45792 46512 47753 47872 48336 48654 50562 50688 51357 53371 53504 53856 54378 55968 56848 57664 58752 59466 60192 61056 61798 62016 62964 63954 64448 64872 65664 66462 67416 68476 69768 71808 72504 74624 75843 76032 78336 79288 80256 80784 81408 82688 83952 85272 86496 87552 88616 89199 89888 90288 91584 92697 93024 95506 95744 95931 96672 97308 99693 101124 102714 106742 107008 107712 108756 111936 113696 115328 117504 118932 120384 122112 123596 124032 125928 127908 128896 129744 131328 132924 134832 136952 139536 143259 143616 145008 149248 151686 152064 154071 158576 160113 160512 161568 165376 167904 170544 172992 177232 178398 179776 180576 183168 185394 186048 188309 191012 191862 193344 194616 199386 202248 205428 213484 215424 217512 223872 227392 230656 235008 237864 240768 244224 247192 248064 251856 255816 257792 259488 262656 265848 267597 269664 273904 278091 279072 286518 287232 290016 298496 299079 303372 308142 317152 320226 321024 323136 335808 341088 345984 354464 356796 359552 361152 366336 370788 372096 376618 382024 383724 386688 389232 398772 404496 410856 426968 429777 430848 435024 447744 454784 461312 462213 475728 480339 481536 494384 496128 503712 511632 515584 518976 525283 531696 535194 539328 547808 556182 558144 564927 573036 580032 587081 598158 606744 616284 634304 640452 646272 671616 682176 691968 708928 713592 719104 722304 732672 741576 744192 753236 764048 767448 773376 778464 797544 808992 821712 834273 853936 859554 861696 870048 895488 907307 909568 924426 951456 960678 963072 988768 1007424 1023264 1037952 1050566 1063392 1070388 1078656 1095616 1112364 1116288 1129854 1146072 1160064 1174162 1196316 1213488 1232568 1268608 1280904 1289331 1292544 1343232 1364352 1383936 1417856 1427184 1438208 1441017 1444608 1483152 1488384 1506472 1528096 1534896 1546752 1556928 1575849 1595088 1617984 1643424 1668546 1694781 1707872 1719108 1740096 1761243 1814614 1819136 1848852 1902912 1921356 1977536 2014848 2046528 2075904 2101132 2126784 2140776 2157312 2191232 2224728 2232576 2259708 2292144 2320128 2348324 2392632 2426976 2465136 2537216 2561808 2578662 2585088 2686464 2721921 2728704 2835712 2854368 2882034 2889216 2966304 3012944 3056192 3069792 3113856 3151698 3190176 3235968 3286848 3337092 3389562 3415744 3438216 3480192 3522486 3629228 3697704 3805824 3842712 3955072 4029696 4093056 4151808 4202264 4253568 4281552 4314624 4382464 4449456 4465152 4519416 4584288 4640256 4696648 4727547 4785264 4853952 4930272 5074432 5084343 5123616 5157324 5283729 5443842 5457408 5671424 5708736 5764068 5932608 6025888 6112384 6139584 6227712 6303396 6380352 6471936 6573696 6674184 6779124 6831488 6876432 6960384 7044972 7258456 7395408 7611648 7685424 7910144 8059392 8165763 8186112 8404528 8507136 8563104 8764928 8898912 9038832 9168576 9393296 9455094 9570528 9707904 9860544 9980377 10168686 10247232 10314648 10567458 10887684 11417472 11528136 11865216 12051776 12224768 12279168 12455424 12606792 12760704 12943872 13147392 13348368 13558248 13662976 13752864 13920768 14089944 14182641 14516912 14790816 15223296 15370848 15820288 15851187 16331526 16372224 16809056 17014272 17126208 17797824 18077664 18337152 18786592 18910188 19141056 19415808 19721088 19960754 20337372 20494464 20629296 21134916 21775368 22834944 23056272 23730432 24103552 24449536 24497289 24558336 25213584 25521408 26294784 26696736 27116496 27325952 27505728 28179888 28365282 29033824 29581632 29941131 30741696 31702374 32663052 33618112 34252416 35595648 36155328 36674304 37573184 37820376 38282112 38831616 39442176 39921508 40674744 40988928 41258592 42269832 43550736 45669888 46112544 47460864 48207104 48994578 49116672 50427168 51042816 53393472 54232992 55011456 56359776 56730564 58067648 59163264 59882262 61483392 63404748 65326104 67236224 68504832 71191296 72310656 73348608 75146368 75640752 76564224 78884352 79843016 81349488 81977856 82517184 84539664 87101472 89823393 92225088 96414208 97989156 100854336 106786944 108465984 110022912 112719552 113461128 116135296 118326528 119764524 122966784 126809496 130652208 134472448 137009664 142382592 144621312 150292736 151281504 153128448 159686032 162698976 165034368 169079328 174202944 179646786 184450176 195978312 201708672 213573888 216931968 220045824 225439104 226922256 232270592 236653056 239529048 245933568 253618992 261304416 268944896 269470179 289242624 300585472 302563008 319372064 325397952 330068736 338158656 348405888 359293572 368900352 391956624 403417344 427147776 433863936 450878208 453844512 464541184 479058096 507237984 522608832 538940358 605126016 638744128 650795904 660137472 676317312 696811776 718587144 737800704 783913248 806834688 867727872 901756416 907689024 958116192 1014475968 1045217664 1077880716 1210252032 1277488256 1301591808 1352634624 1393623552 1437174288 1567826496 1815378048 1916232384 2028951936 2090435328 2155761432 2420504064 2554976512 2603183616 2705269248 2874348576 3135652992 3630756096 3832464768 4057903872 4180870656 4311522864 5109953024 5748697152 6271305984 7261512192 7664929536 8115807744 8623045728 11497394304 12542611968 15329859072 17246091456 22994788608 34492182912 45989577216 68984365824 137968731648
- Sum of all divisors σ(n): 506105107200
- Sum of proper divisors (its aliquot sum) s(n): 368136375552
- 137968731648 is an abundant number, because the sum of its proper divisors (368136375552) is greater than itself. Its abundance is 230167643904
Bases of 137968731648
- Binary: 100000000111111001001111000110000000002
- Hexadecimal: 0x201F93C600
- Base-36: 1RDR0QO0
Squares and roots of 137968731648
- 137968731648 squared (1379687316482) is 19035370912557836795904
- 137968731648 cubed (1379687316483) is 2626285981254837058173459121569792
-
The
square root of 137968731648 is 371441.4242488309 -
The
cube root of 137968731648 is 5167.2589236645
Scales and comparisons
How big is 137968731648?- 137,968,731,648 seconds is equal to 4,386 years, 50 weeks, 6 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,968,731,648 would take you about eight thousand, seven hundred seventy-three 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 137968731648 cubic inches would be around 430.6 feet tall.
Recreational maths with 137968731648
- 137968731648 backwards is 846137869731
- The number of decimal digits it has is: 12
- The sum of 137968731648's digits is 63
- More coming soon!
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The information we have on file for 137968731648 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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