135149938672320
135,149,938,672,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135149938672320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
135149938672320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 135149938672320:
26 × 33 × 5 × 112 × 13 × 61 × 163021
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 61 × 163021)See below for interesting mathematical facts about the number 135149938672320 from the Numbermatics database.
Names of 135149938672320
- Cardinal: 135149938672320 can be written as One hundred thirty-five trillion, one hundred forty-nine billion, nine hundred thirty-eight million, six hundred seventy-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3514993867232 × 1014
Factors of 135149938672320
Divisors of 135149938672320
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 61 64 65 66 72 78 80 88 90 96 99 104 108 110 117 120 121 122 130 132 135 143 144 156 160 165 176 180 183 192 195 198 208 216 220 234 240 242 244 260 264 270 286 288 297 305 312 320 330 351 352 360 363 366 390 396 416 429 432 440 468 480 484 488 495 520 528 540 549 572 576 585 594 605 610 624 660 671 702 704 715 720 726 732 780 792 793 832 858 864 880 915 936 960 968 976 990 1040 1056 1080 1089 1098 1144 1170 1188 1210 1220 1248 1287 1320 1342 1404 1430 1440 1452 1464 1485 1560 1573 1584 1586 1647 1716 1728 1755 1760 1815 1830 1872 1936 1952 1980 2013 2080 2112 2145 2160 2178 2196 2288 2340 2376 2379 2420 2440 2496 2574 2640 2684 2745 2808 2860 2880 2904 2928 2970 3120 3146 3168 3172 3267 3294 3355 3432 3510 3520 3630 3660 3744 3861 3872 3904 3960 3965 4026 4160 4290 4320 4356 4392 4576 4680 4719 4752 4758 4840 4880 5148 5280 5368 5445 5490 5616 5720 5808 5856 5940 6039 6240 6292 6336 6344 6435 6534 6588 6710 6864 7020 7137 7260 7320 7381 7488 7722 7744 7865 7920 7930 8052 8235 8580 8640 8712 8723 8784 9152 9360 9438 9504 9516 9680 9760 10065 10296 10560 10736 10890 10980 11232 11440 11616 11712 11880 11895 12078 12480 12584 12688 12870 13068 13176 13420 13728 14040 14157 14274 14520 14640 14762 15444 15730 15840 15860 16104 16335 16470 17160 17424 17446 17568 18117 18720 18876 19008 19032 19305 19360 19520 20130 20592 21411 21472 21780 21960 22143 22464 22880 23232 23595 23760 23790 24156 25168 25376 25740 26136 26169 26352 26840 27456 28080 28314 28548 29040 29280 29524 30195 30888 31460 31680 31720 32208 32670 32940 34320 34848 34892 35136 35685 36234 36905 37440 37752 38064 38610 38720 40260 41184 42471 42822 42944 43560 43615 43920 44286 45760 47190 47520 47580 48312 50336 50752 51480 52272 52338 52704 53680 56160 56628 57096 58080 58560 59048 60390 61776 62920 63440 64416 65340 65880 66429 68640 69696 69784 70785 71370 72468 73810 75504 76128 77220 78507 80520 82368 84942 85644 87120 87230 87840 88572 90585 94380 95040 95160 95953 96624 100672 102960 104544 104676 105408 107055 107360 110715 112320 113256 114192 116160 118096 120780 123552 125840 126880 128832 130680 130845 131760 132858 137280 139568 141570 142740 144936 147620 151008 152256 154440 157014 161040 163021 169884 171288 174240 174460 175680 177144 181170 188760 190320 191906 193248 199287 205920 209088 209352 212355 214110 214720 221430 226512 228384 235521 236192 241560 247104 251680 253760 261360 261690 263520 265716 279136 283140 285480 287859 289872 295240 302016 308880 314028 322080 326042 332145 339768 342576 348480 348920 354288 362340 377520 380640 383812 386496 392535 398574 411840 418704 424710 428220 442860 453024 456768 471042 472384 479765 483120 489063 503360 522720 523380 527040 531432 558272 566280 570960 575718 579744 590480 617760 628056 644160 652084 664290 679536 685152 697840 708576 724680 755040 761280 767624 785070 797148 815105 837408 849420 856440 863577 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187708248156 189020893248 191974344705 192521280160 201415705920 204772634352 216586440180 221557276512 223388328384 227525149280 231025536192 234635310195 236276116560 246174751680 250277664208 255965792940 259903728216 273030179136 276946595640 279235410480 281562372234 288781920240 307158951528 312847080260 315034822080 324879660270 341287723920 346538304288 369262127520 372313880640 375416496312 383948689410 385042560320 409545268704 422343558351 433172880360 443114553024 455050298560 469270620390 472552233120 500555328416 511931585880 519807456432 553893191280 558470820960 563124744468 577563840480 614317903056 625694160520 649759320540 682575447840 693076608576 703905930585 738524255040 750832992624 767897378820 819090537408 844687116702 866345760720 938541240780 945104466240 1001110656832 1023863171760 1039614912864 1107786382560 1116941641920 1126249488936 1155127680960 1228635806112 1251388321040 1299518641080 1365150895680 1407811861170 1501665985248 1535794757640 1689374233404 1732691521440 1877082481560 2047726343520 2079229825728 2111717791755 2215572765120 2252498977872 2457271612224 2502776642080 2599037282160 2815623722340 3003331970496 3071589515280 3378748466808 3465383042880 3754164963120 4095452687040 4223435583510 4504997955744 5005553284160 5198074564320 5631247444680 6143179030560 6757496933616 7508329926240 8446871167020 9009995911488 10396149128640 11262494889360 12286358061120 13514993867232 15016659852480 16893742334040 22524989778720 27029987734464 33787484668080 45049979557440 67574969336160 135149938672320
- Sum of all divisors σ(n): 573630910688640
- Sum of proper divisors (its aliquot sum) s(n): 438480972016320
- 135149938672320 is an abundant number, because the sum of its proper divisors (438480972016320) is greater than itself. Its abundance is 303331033344000
Bases of 135149938672320
- Binary: 111101011101011000011000001011000000010110000002
- Hexadecimal: 0x7AEB0C1602C0
- Base-36: 1BWN0W0MO0
Squares and roots of 135149938672320
- 135149938672320 squared (1351499386723202) is 18265505923131857084334182400
- 135149938672320 cubed (1351499386723203) is 2468582005330168193012635677580248711168000
-
The
square root of 135149938672320 is 11625400.5811550425 -
The
cube root of 135149938672320 is 51318.2633381285
Scales and comparisons
How big is 135149938672320?- 135,149,938,672,320 seconds is equal to 4,297,350 years, 1 day, 7 hours, 12 minutes.
-
To count from 1 to 135,149,938,672,320 would take you about ten million, seven hundred forty-three thousand, three hundred seventy-five 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 135149938672320 cubic inches would be around 4276.5 feet tall.
Recreational maths with 135149938672320
- 135149938672320 backwards is 023276839941531
- The number of decimal digits it has is: 15
- The sum of 135149938672320's digits is 63
- More coming soon!
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"Number 135149938672320 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 135149938672320 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/135149938672320/
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The information we have on file for 135149938672320 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 135149938672320, math, Factors of 135149938672320, curriculum, school, college, exams, university, Prime factorization of 135149938672320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, one hundred forty-nine billion, nine hundred thirty-eight million, six hundred seventy-two thousand, three hundred twenty.