137106293760
137,106,293,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 137106293760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 704 divisors.
137106293760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 137106293760:
210 × 33 × 5 × 61 × 71 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 61 × 71 × 229)See below for interesting mathematical facts about the number 137106293760 from the Numbermatics database.
Names of 137106293760
- Cardinal: 137106293760 can be written as One hundred thirty-seven billion, one hundred six million, two hundred ninety-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3710629376 × 1011
Factors of 137106293760
Divisors of 137106293760
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 61 64 71 72 80 90 96 108 120 122 128 135 142 144 160 180 183 192 213 216 229 240 244 256 270 284 288 305 320 355 360 366 384 426 432 458 480 488 512 540 549 568 576 610 639 640 687 710 720 732 768 852 864 915 916 960 976 1024 1065 1080 1098 1136 1145 1152 1220 1278 1280 1374 1420 1440 1464 1536 1647 1704 1728 1830 1832 1917 1920 1952 2061 2130 2160 2196 2272 2290 2304 2440 2556 2560 2745 2748 2840 2880 2928 3072 3195 3294 3408 3435 3456 3660 3664 3834 3840 3904 4122 4260 4320 4331 4392 4544 4580 4608 4880 5112 5120 5490 5496 5680 5760 5856 6183 6390 6588 6816 6870 6912 7320 7328 7668 7680 7808 8235 8244 8520 8640 8662 8784 9088 9160 9216 9585 9760 10224 10305 10980 10992 11360 11520 11712 12366 12780 12993 13176 13632 13740 13824 13969 14640 14656 15336 15360 15616 16259 16470 16488 17040 17280 17324 17568 18176 18320 19170 19520 20448 20610 21655 21960 21984 22720 23040 23424 24732 25560 25986 26352 27264 27480 27648 27938 29280 29312 30672 30915 31232 32518 32940 32976 34080 34560 34648 35136 36352 36640 38340 38979 39040 40896 41220 41907 43310 43920 43968 45440 46080 46848 48777 49464 51120 51972 52704 54528 54960 55876 58560 58624 61344 61830 62464 64965 65036 65880 65952 68160 69120 69296 69845 70272 72704 73280 76680 77958 78080 81295 81792 82440 83814 86620 87840 87936 90880 93696 97554 98928 102240 103944 105408 109056 109920 111752 116937 117120 117248 122688 123660 125721 129930 130072 131760 131904 136320 138240 138592 139690 140544 146331 146560 153360 155916 156160 162590 163584 164880 167628 173240 175680 175872 181760 187392 194895 195108 197856 204480 207888 209535 210816 218112 219840 223504 233874 234240 234496 243885 245376 247320 251442 259860 260144 263520 263808 272640 277184 279380 281088 292662 293120 306720 311832 312320 325180 327168 329760 335256 346480 351360 351744 363520 377163 389790 390216 395712 408960 415776 419070 421632 438993 439680 447008 467748 468480 487770 490752 494640 502884 519720 520288 527040 527616 545280 554368 558760 562176 584685 585324 586240 613440 623664 628605 650360 654336 659520 670512 692960 702720 703488 731655 754326 779580 780432 791424 817920 831552 838140 843264 877986 879360 894016 935496 936960 975540 981504 989280 991799 1005768 1039440 1040576 1054080 1055232 1090560 1108736 1117520 1169370 1170648 1172480 1226880 1247328 1257210 1300720 1319040 1341024 1385920 1405440 1463310 1508652 1559160 1560864 1582848 1635840 1663104 1676280 1686528 1755972 1758720 1788032 1870992 1885815 1951080 1963008 1978560 1983598 2011536 2078880 2081152 2108160 2110464 2194965 2217472 2235040 2338740 2341296 2453760 2494656 2514420 2601440 2638080 2682048 2771840 2810880 2926620 2975397 3017304 3118320 3121728 3165696 3271680 3326208 3352560 3511944 3517440 3576064 3741984 3771630 3902160 3957120 3967196 4023072 4157760 4162304 4216320 4389930 4434944 4470080 4677480 4682592 4907520 4958995 4989312 5028840 5202880 5276160 5364096 5543680 5853240 5950794 6034608 6236640 6243456 6331392 6652416 6705120 7023888 7152128 7483968 7543260 7804320 7914240 7934392 8046144 8315520 8324608 8432640 8779860 8926191 8940160 9354960 9365184 9815040 9917990 9978624 10057680 10405760 10552320 10728192 11087360 11706480 11901588 12069216 12473280 12486912 13304832 13410240 14047776 14304256 14876985 14967936 15086520 15608640 15828480 15868784 16092288 16631040 16649216 17559720 17852382 17880320 18709920 18730368 19835980 19957248 20115360 20811520 21456384 22174720 23412960 23803176 24138432 24946560 24973824 26778573 26820480 28095552 29753970 29935872 30173040 31217280 31656960 31737568 32184576 33262080 35119440 35704764 35760640 37419840 37460736 39671960 39914496 40230720 41623040 42912768 44630955 46825920 47606352 48276864 49893120 49947648 53557146 53640960 56191104 59507940 59871744 60346080 62434560 63475136 64369152 66524160 70238880 71409528 71521280 74839680 74921472 79343920 80461440 83246080 89261910 93651840 95212704 96553728 99786240 107114292 107281920 112382208 119015880 119743488 120692160 124869120 126950272 128738304 133892865 140477760 142819056 149679360 149842944 158687840 160922880 178523820 187303680 190425408 193107456 199572480 214228584 214563840 224764416 238031760 241384320 249738240 253900544 267785730 280955520 285638112 299358720 317375680 321845760 357047640 374607360 380850816 386214912 428457168 449528832 476063520 482768640 507801088 535571460 561911040 571276224 598717440 634751360 643691520 714095280 749214720 761701632 856914336 952127040 965537280 1015602176 1071142920 1123822080 1142552448 1269502720 1428190560 1523403264 1713828672 1904254080 1931074560 2142285840 2247644160 2285104896 2539005440 2856381120 3046806528 3427657344 3808508160 4284571680 4570209792 5078010880 5712762240 6855314688 7617016320 8569143360 9140419584 11425524480 13710629376 15234032640 17138286720 22851048960 27421258752 34276573440 45702097920 68553146880 137106293760
- Sum of all divisors σ(n): 504407001600
- Sum of proper divisors (its aliquot sum) s(n): 367300707840
- 137106293760 is an abundant number, because the sum of its proper divisors (367300707840) is greater than itself. Its abundance is 230194414080
Bases of 137106293760
- Binary: 11111111011000010110000000100000000002
- Hexadecimal: 0x1FEC2C0400
- Base-36: 1QZHJPC0
Squares and roots of 137106293760
- 137106293760 squared (1371062937602) is 18798135788603414937600
- 137106293760 cubed (1371062937603) is 2577342727572629068573757669376000
-
The
square root of 137106293760 is 370278.6704091933 -
The
cube root of 137106293760 is 5156.4696240733
Scales and comparisons
How big is 137106293760?- 137,106,293,760 seconds is equal to 4,359 years, 28 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 137,106,293,760 would take you about eight thousand, seven hundred nineteen 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 137106293760 cubic inches would be around 429.7 feet tall.
Recreational maths with 137106293760
- 137106293760 backwards is 067392601731
- 137106293760 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137106293760's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137106293760 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 137106293760 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137106293760/
Chicago style:
Numbermatics. 2024. "Number 137106293760 - Facts about the integer". https://numbermatics.com/n/137106293760/
The information we have on file for 137106293760 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!
Keywords: Divisors of 137106293760, math, Factors of 137106293760, curriculum, school, college, exams, university, Prime factorization of 137106293760, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, one hundred six million, two hundred ninety-three thousand, seven hundred sixty.