137172738425008
137,172,738,425,008 is an even composite number composed of six prime numbers multiplied together.
137172738425008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137172738425008:
24 × 112 × 133 × 312 × 37 × 907
(2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 13 × 31 × 31 × 37 × 907)See below for interesting mathematical facts about the number 137172738425008 from the Numbermatics database.
Names of 137172738425008
- Cardinal: 137172738425008 can be written as One hundred thirty-seven trillion, one hundred seventy-two billion, seven hundred thirty-eight million, four hundred twenty-five thousand and eight.
Scientific notation
- Scientific notation: 1.37172738425008 × 1014
Factors of 137172738425008
Divisors of 137172738425008
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 37 44 52 62 74 88 104 121 124 143 148 169 176 208 242 248 286 296 338 341 403 407 481 484 496 572 592 676 682 806 814 907 961 962 968 1144 1147 1352 1364 1573 1612 1628 1814 1859 1922 1924 1936 2197 2288 2294 2704 2728 3146 3224 3256 3628 3718 3751 3844 3848 4394 4433 4477 4588 5239 5291 5456 6253 6292 6448 6512 7256 7436 7502 7688 7696 8788 8866 8954 9176 9977 10478 10571 10582 11791 12493 12506 12584 12617 14512 14872 14911 15004 15376 17576 17732 17908 18352 19954 20449 20956 21142 21164 23582 24167 24986 25012 25168 25234 28117 29744 29822 30008 33559 35152 35464 35557 35816 39908 40898 41912 42284 42328 47164 48334 48763 49972 50024 50468 56234 57629 58201 59644 60016 67118 68107 68783 70928 71114 71632 79816 81289 81796 83824 84568 84656 94328 96668 97526 99944 100048 100936 109747 112468 115258 116281 116402 119288 129701 134236 136214 137423 137566 138787 142228 153283 159632 162409 162578 163592 164021 169136 188656 193336 193843 195052 199888 201872 219494 224936 230516 232562 232804 238576 259402 265837 268472 272428 274846 275132 277574 284456 306566 309287 324818 325156 327184 328042 365521 369149 386672 387686 390104 391127 436267 438988 449872 461032 462241 465124 465608 518804 531674 536944 544856 549692 550264 555148 568912 613132 618574 633919 649636 650312 656084 731042 738298 749177 756613 775372 780208 782254 871627 872534 877976 894179 922064 924482 930248 931216 1037608 1040329 1063348 1089712 1099384 1100528 1110296 1226264 1237148 1267838 1299272 1300624 1312168 1426711 1462084 1476596 1498354 1511653 1513226 1550744 1564508 1686113 1743254 1745068 1755952 1786499 1788358 1804231 1848964 1860496 1992679 2075216 2080658 2111317 2126696 2132273 2198768 2220592 2452528 2474296 2519959 2535676 2598544 2624336 2853422 2924168 2953192 2996708 3023306 3026452 3101488 3129016 3372226 3402157 3486508 3490136 3572998 3576716 3608462 3697928 3985358 4020731 4060639 4161316 4222634 4253392 4264546 4302397 4751773 4798937 4948592 5039918 5071352 5084651 5671471 5706844 5848336 5906384 5993416 6009133 6046612 6052904 6258032 6744452 6804314 6973016 6980272 7145996 7153432 7216924 7395856 7970716 8041462 8121278 8240947 8322632 8445268 8529092 8604794 9503546 9587897 9597874 9835969 10079836 10142704 10169302 11331151 11342942 11413688 11443619 11986832 12018266 12093224 12105808 13488904 13524277 13608628 13946032 14291992 14306864 14433848 15941432 16082924 16242556 16481894 16645264 16890536 17058184 17209588 18547243 19007092 19175794 19195748 19651489 19671938 20159672 20338604 21919469 22662302 22685884 22827376 22887238 23224487 23455003 24036532 24186448 26977808 27048554 27217256 27719549 28583984 28867696 31882864 32165848 32250199 32485112 32963788 33781072 34116368 34419176 37094486 38014184 38351588 38391496 39302978 39343876 40319344 40677208 43838938 44228041 45324604 45371768 45774476 46448974 46910006 48073064 52269503 52788307 54097108 54434512 55439098 55931161 61773049 62386181 64331696 64500398 64970224 65927576 66100463 68838352 73729123 74188972 76028368 76703176 76782992 78118729 78605956 78687752 81354416 87677876 88456082 90649208 90743536 91548952 92897948 93820012 96146128 104539006 105466867 105576614 108194216 110878196 111862322 123546098 124642661 124772362 125879809 129000796 131855152 132200926 147304963 147458246 148377944 148767047 153406352 156237458 157211912 157375504 175355752 175815601 176912164 181298416 183097904 185795896 187640024 209078012 210933734 211153228 216388432 221756392 223724644 241114159 247092196 249285322 249544724 251759618 255469357 258001592 264401852 294609926 294916492 296755888 297534094 304915039 312474916 314423824 350711504 351631202 353824328 354752189 371591792 375280048 418156024 419252587 421867468 422306456 443512784 447449288 482228318 494184392 498570644 499089448 503519236 510938714 516003184 528803704 574964533 589219852 589832984 595068188 609830078 624949832 679503539 686247991 703262404 707648656 709504378 727105093 811020353 836312048 838505174 843734936 844612912 859306019 894898576 964456636 988368784 997141288 998178896 1007038472 1021877428 1057607408 1149929066 1178439704 1179665968 1190136376 1219660156 1249899664 1359007078 1371069271 1372495982 1406524808 1419008756 1454210186 1620354593 1622040706 1636437517 1677010348 1687469872 1718612038 1914964519 1928913272 1933971611 1994282576 2014076944 2043754856 2285602813 2299858132 2356879408 2380272752 2439320312 2718014156 2742138542 2744991964 2813049616 2838017512 2908420372 3240709186 3244081412 3272875034 3354020696 3437224076 3829929038 3857826544 3867943222 3902274079 4087509712 4571205626 4599716264 4611778457 4878640624 5436028312 5450283631 5484277084 5489983928 5676035024 5816840744 6481418372 6488162824 6545750068 6708041392 6874448152 7474538929 7659858076 7735886444 7804548158 8921223883 9142411252 9199432528 9223556914 9452366209 10872056624 10900567262 10968554168 10979967856 11633681488 12962836744 12976325648 13091500136 13748896304 14949077858 15319716152 15471772888 15609096316 17823900523 17842447766 18284822504 18447113828 18904732418 21064609709 21273687721 21801134524 21937108336 25141630943 25925673488 26183000272 29898155716 30639432304 30943545776 31218192632 35647801046 35684895532 36569645008 36894227656 37809464836 42129219418 42547375442 43602269048 50283261886 50729563027 59796311432 59953119941 62436385264 70853687203 71295602092 71369791064 73788455312 75618929672 84258438836 85094750884 87204538096 100566523772 101459126054 119592622864 119906239882 141707374406 142591204184 142739582128 151237859344 168516877672 170189501768 201133047544 202918252108 231710706799 239812479764 276557940373 283414748812 285182408368 337033755344 340379003536 402266095088 405836504216 463421413598 479624959528 553115880746 566829497624 659484319351 779390559233 811673008432 926842827196 959249919056 1106231761492 1133658995248 1318968638702 1558781118466 1853685654392 2212463522984 2637937277404 3117562236932 3707371308784 4424927045968 5275874554808 6235124473864 8573296151563 10551749109616 12470248947728 17146592303126 34293184606252 68586369212504 137172738425008
- Sum of all divisors σ(n): 336208729493280
- Sum of proper divisors (its aliquot sum) s(n): 199035991068272
- 137172738425008 is an abundant number, because the sum of its proper divisors (199035991068272) is greater than itself. Its abundance is 61863252643264
Bases of 137172738425008
- Binary: 111110011000010000001000101100011000000101100002
- Hexadecimal: 0x7CC20458C0B0
- Base-36: 1CMGAARGZ4
Squares and roots of 137172738425008
- 137172738425008 squared (1371727384250082) is 18816360167015666244439800064
- 137172738425008 cubed (1371727384250083) is 2581091651300779829506978930168325777600512
-
The
square root of 137172738425008 is 11712076.6060083469 -
The
cube root of 137172738425008 is 51573.0246832215
Scales and comparisons
How big is 137172738425008?- 137,172,738,425,008 seconds is equal to 4,361,668 years, 40 weeks, 3 days, 11 hours, 23 minutes, 28 seconds.
-
To count from 1 to 137,172,738,425,008 would take you about ten million, nine hundred four thousand, one hundred seventy-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 137172738425008 cubic inches would be around 4297.8 feet tall.
Recreational maths with 137172738425008
- 137172738425008 backwards is 800524837271731
- The number of decimal digits it has is: 15
- The sum of 137172738425008's digits is 58
- More coming soon!
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