137007331344
137,007,331,344 is an even composite number composed of seven prime numbers multiplied together.
137007331344 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137007331344:
24 × 32 × 13 × 19 × 29 × 43 × 3089
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 29 × 43 × 3089)See below for interesting mathematical facts about the number 137007331344 from the Numbermatics database.
Names of 137007331344
- Cardinal: 137007331344 can be written as One hundred thirty-seven billion, seven million, three hundred thirty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.37007331344 × 1011
Factors of 137007331344
Divisors of 137007331344
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 29 36 38 39 43 48 52 57 58 72 76 78 86 87 104 114 116 117 129 144 152 156 171 172 174 208 228 232 234 247 258 261 304 312 342 344 348 377 387 456 464 468 494 516 522 551 559 624 684 688 696 741 754 774 817 912 936 988 1032 1044 1102 1118 1131 1247 1368 1392 1482 1508 1548 1634 1653 1677 1872 1976 2064 2088 2204 2223 2236 2262 2451 2494 2736 2964 3016 3089 3096 3268 3306 3354 3393 3741 3952 4176 4408 4446 4472 4524 4902 4959 4988 5031 5928 6032 6178 6192 6536 6612 6708 6786 7163 7353 7482 8816 8892 8944 9048 9267 9804 9918 9976 10062 10621 11223 11856 12356 13072 13224 13416 13572 14326 14706 14964 16211 17784 18096 18534 19608 19836 19952 20124 21242 21489 22446 23693 24712 26448 26832 27144 27801 28652 29412 29928 31863 32422 35568 37068 39216 39672 40157 40248 42484 42978 44892 47386 48633 49424 54288 55602 57304 58691 58824 59856 63726 64467 64844 71079 74136 79344 80314 80496 84968 85956 89581 89784 94772 95589 97266 111204 114608 117382 117648 120471 127452 128934 129688 132827 142158 145899 148272 160628 169936 171912 176073 179162 179568 189544 191178 194532 213237 222408 234764 240942 254904 257868 259376 265654 268743 284316 291798 308009 321256 343824 352146 358324 361413 379088 382356 389064 398481 426474 444816 469528 481884 509808 515736 528219 531308 537486 568632 583596 616018 642512 704292 716648 722826 762983 764712 778128 796962 806229 852948 924027 939056 963768 1031472 1056438 1062616 1074972 1137264 1164553 1167192 1195443 1232036 1408584 1433296 1445652 1525966 1529424 1593924 1612458 1702039 1705896 1726751 1848054 1927536 2112876 2125232 2149944 2288949 2329106 2334384 2390886 2464072 2523713 2772081 2817168 2891304 3051932 3187848 3224916 3404078 3411792 3453502 3493659 3696108 3851983 4225752 4299888 4577898 4658212 4781772 4928144 5047426 5106117 5180253 5544162 5782608 6103864 6375696 6449832 6808156 6866847 6907004 6987318 7392216 7571139 7703966 8451504 9155796 9316424 9563544 10094852 10212234 10360506 10480977 11088324 11555949 12207728 12899664 13616312 13733694 13814008 13974636 14784432 15142278 15318351 15407932 15540759 18311592 18632848 19127088 20189704 20424468 20721012 20961954 22126507 22176648 22713417 23111898 27232624 27467388 27628016 27949272 30284556 30636702 30815864 31081518 32808269 34667847 36623184 40379408 40848936 41442024 41923908 44253014 44353296 45426834 46223796 50075779 54934776 55898544 60569112 61273404 61631728 62163036 65616538 66379521 69335694 73187677 81697872 82884048 83847816 88506028 90853668 92447592 98424807 100151558 109869552 121138224 122546808 124326072 131233076 132759042 138671388 146375354 150227337 167695632 177012056 181707336 184895184 196849614 199138563 200303116 219563031 245093616 248652144 262466152 265518084 277342776 292750708 295274421 300454674 354024112 363414672 393699228 398277126 400606232 439126062 450682011 524932304 531036168 554685552 585501416 590548842 600909348 658689093 787398456 796554252 801212464 878252124 901364022 951439801 1062072336 1171002832 1181097684 1201818696 1317378186 1574796912 1593108504 1756504248 1802728044 1902879602 2362195368 2403637392 2634756372 2854319403 3186217008 3513008496 3605456088 3805759204 4724390736 5269512744 5708638806 7210912176 7611518408 8562958209 10539025488 11417277612 15223036816 17125916418 22834555224 34251832836 45669110448 68503665672 137007331344
- Sum of all divisors σ(n): 460251792000
- Sum of proper divisors (its aliquot sum) s(n): 323244460656
- 137007331344 is an abundant number, because the sum of its proper divisors (323244460656) is greater than itself. Its abundance is 186237129312
Bases of 137007331344
- Binary: 11111111001100100010111111000000100002
- Hexadecimal: 0x1FE645F810
- Base-36: 1QXUMLG0
Squares and roots of 137007331344
- 137007331344 squared (1370073313442) is 18771008842004604846336
- 137007331344 cubed (1370073313443) is 2571765828077678641355744556355584
-
The
square root of 137007331344 is 370145.0139391317 -
The
cube root of 137007331344 is 5155.2286902363
Scales and comparisons
How big is 137007331344?- 137,007,331,344 seconds is equal to 4,356 years, 21 weeks, 2 days, 2 minutes, 24 seconds.
-
To count from 1 to 137,007,331,344 would take you about eight thousand, seven hundred twelve 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 137007331344 cubic inches would be around 429.6 feet tall.
Recreational maths with 137007331344
- 137007331344 backwards is 443133700731
- 137007331344 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137007331344's digits is 36
- More coming soon!
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