138225651061680
138,225,651,061,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138225651061680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138225651061680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138225651061680:
24 × 35 × 5 × 72 × 133 × 2572
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 13 × 257 × 257)See below for interesting mathematical facts about the number 138225651061680 from the Numbermatics database.
Names of 138225651061680
- Cardinal: 138225651061680 can be written as One hundred thirty-eight trillion, two hundred twenty-five billion, six hundred fifty-one million, sixty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3822565106168 × 1014
Factors of 138225651061680
Divisors of 138225651061680
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 49 52 54 56 60 63 65 70 72 78 80 81 84 90 91 98 104 105 108 112 117 120 126 130 135 140 144 147 156 162 168 169 180 182 189 195 196 208 210 216 234 240 243 245 252 257 260 270 273 280 294 312 315 324 336 338 351 360 364 378 390 392 405 420 432 441 455 468 486 490 504 507 514 520 540 546 560 567 585 588 624 630 637 648 676 702 720 728 735 756 771 780 784 810 819 840 845 882 910 936 945 972 980 1008 1014 1028 1040 1053 1080 1092 1134 1170 1176 1183 1215 1260 1274 1285 1296 1323 1352 1365 1404 1456 1470 1512 1521 1542 1560 1620 1638 1680 1690 1701 1755 1764 1799 1820 1872 1890 1911 1944 1960 2028 2056 2106 2160 2184 2197 2205 2268 2313 2340 2352 2366 2430 2457 2520 2535 2548 2570 2646 2704 2730 2808 2835 2940 3024 3042 3084 3120 3159 3185 3240 3276 3341 3380 3402 3510 3528 3549 3598 3640 3780 3822 3855 3888 3920 3969 4056 4095 4112 4212 4368 4394 4410 4536 4563 4626 4680 4732 4860 4914 5040 5070 5096 5140 5265 5292 5397 5460 5616 5670 5733 5880 5915 6084 6168 6318 6370 6480 6552 6591 6615 6682 6760 6804 6939 7020 7056 7098 7196 7280 7371 7560 7605 7644 7710 7938 8112 8190 8281 8424 8505 8788 8820 8995 9072 9126 9252 9360 9464 9555 9720 9828 10023 10140 10192 10280 10530 10584 10647 10794 10920 10985 11340 11466 11565 11760 11830 11907 12168 12285 12336 12593 12636 12740 13104 13182 13230 13364 13520 13608 13689 13878 14040 14196 14392 14742 15120 15210 15288 15379 15420 15795 15876 16191 16380 16562 16705 16848 17010 17199 17576 17640 17745 17990 18252 18504 18928 19110 19440 19656 19773 19845 20046 20280 20560 20817 21060 21168 21294 21588 21840 21970 22113 22680 22815 22932 23130 23387 23660 23814 24336 24570 24843 25186 25272 25480 26364 26460 26728 26985 27216 27378 27756 28080 28392 28665 28784 29484 30069 30420 30576 30758 30840 31590 31752 31941 32382 32760 32955 33124 33410 34020 34398 34695 35152 35280 35490 35980 36504 36855 37008 37779 38220 39312 39546 39690 40092 40560 41067 41405 41634 42120 42588 43176 43433 43940 44226 45360 45630 45864 46137 46260 46774 47320 47628 48573 49140 49686 50115 50372 50544 50960 51597 52728 52920 53235 53456 53970 54756 55512 56784 57330 58968 59319 59535 60138 60840 61516 61680 62451 62965 63180 63504 63882 64764 65520 65910 66049 66248 66820 68040 68445 68796 69390 70161 70980 71960 73008 73710 74529 75558 76440 76895 79092 79380 80184 80955 82134 82810 83268 84240 85176 85995 86352 86866 87880 88452 90207 91260 91728 92274 92520 93548 94640 95256 95823 97146 98280 98865 99372 100230 100744 103194 104085 105456 105840 106470 107653 107940 109512 110565 111024 113337 114660 116935 117936 118638 119070 120276 121680 123032 124215 124902 125930 126360 127764 129528 130299 131820 132098 132496 133640 136080 136890 137592 138411 138780 140322 141960 143920 145719 147420 149058 150345 151116 152880 153790 154791 158184 158760 159705 160368 161910 163709 164268 165620 166536 170352 171990 173732 175760 176904 177957 180414 182520 184548 185040 187096 188895 190512 191646 194292 196560 197730 198147 198744 200460 201488 205335 206388 208170 210483 212940 215306 215880 217165 219024 221130 223587 226674 229320 230685 233870 237276 238140 240552 242865 246064 248430 249804 251860 252720 255528 257985 259056 260598 263640 264196 267280 270621 273780 275184 276822 277560 280644 283920 287469 291438 294840 296595 298116 300690 302232 304031 307580 309582 312255 316368 317520 319410 322959 323820 327418 328536 330245 331240 333072 340011 343980 347464 350805 353808 355914 360828 365040 369096 372645 374192 377790 383292 388584 390897 395460 396294 397488 400920 410670 412776 415233 416340 420966 425880 430612 431760 434330 437157 442260 447174 451035 453348 458640 461370 462343 467740 474552 476280 479115 481104 485730 491127 496860 499608 503720 511056 515970 521196 527280 528392 533871 538265 541242 547560 553644 555120 561288 564629 566685 574938 582876 589680 593190 594441 596232 601380 604464 608062 615160 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15366942864 15671842524 15728908860 16252281136 16408553070 16691903280 16877368872 17039651265 17413158360 17928100008 18082895220 18175628016 18283816278 18752632080 18987039981 19208678580 19473887160 19589803155 19690263684 19920111120 20315351420 20447581518 20686269240 20895790032 20971878480 21096711090 21331118991 21699474264 21878070760 22410125010 22719535020 23368664592 23507763786 24110526960 24378421704 24612829605 25316053308 25611571440 26119737540 26253684912 26892150012 27124342830 27263442024 27425724417 28128948120 28441491988 29210830740 29535395526 29880166680 30292713360 30473027130 31343685048 31457817720 31645066635 32817106140 33615187515 33754737744 34079302530 34826316720 35261645679 35551864985 35856200016 36165790440 36567632556 37974079962 38417357160 38947774320 39179606310 39380527368 40630702840 40895163036 41372538480 42193422180 42662237982 43398948528 43756141520 44303093289 44820250020 45439070040 45709540695 47015527572 48756843408 49225659210 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213311189910 216994742640 219405795336 221515466445 235077637860 236283164208 243784217040 246831519753 253160533080 255973427892 265818559734 268921500120 272634420240 274257244170 282093165432 284414919880 295353955260 303792639696 313436850480 319966784865 329108693004 341297903856 352616456790 354424746312 365676325560 379740799620 383960141838 393805273680 408951630360 411385866255 426622379820 438811590672 443030932890 470155275720 493663039506 506321066160 511946855784 531637119468 537843000240 548514488340 564186330864 568829839760 575940212757 590707910520 639933569730 658217386008 664546399335 705232913580 708849492624 731352651120 759481599240 767920283676 817903260720 822771732510 853244759640 886061865780 940310551440 959900354595 987326079012 1023893711568 1063274238936 1097028976680 1151880425514 1181415821040 1234157598765 1279867139460 1316434772016 1329092798670 1410465827160 1518963198480 1535840567352 1645543465020 1706489519280 1727820638271 1772123731560 1919800709190 1974652158024 2126548477872 2194057953360 2303760851028 2468315197530 2559734278920 2658185597340 2820931654320 2879701063785 3071681134704 3291086930040 3455641276542 3544247463120 3839601418380 3949304316048 4607521702056 4936630395060 5119468557840 5316371194680 5759402127570 6582173860080 6911282553084 7679202836760 8639103191355 9215043404112 9873260790120 10632742389360 11518804255140 13822565106168 15358405673520 17278206382710 19746521580240 23037608510280 27645130212336 34556412765420 46075217020560 69112825530840 138225651061680
- Sum of all divisors σ(n): 609011536704480
- Sum of proper divisors (its aliquot sum) s(n): 470785885642800
- 138225651061680 is an abundant number, because the sum of its proper divisors (470785885642800) is greater than itself. Its abundance is 332560234581120
Bases of 138225651061680
- Binary: 111110110110111001010101101010010010011101100002
- Hexadecimal: 0x7DB72AD493B0
- Base-36: 1CZVZJRF00
Squares and roots of 138225651061680
- 138225651061680 squared (1382256510616802) is 19106330611425317311164422400
- 138225651061680 cubed (1382256510616803) is 2640984988163970995329985426031603973632000
-
The
square root of 138225651061680 is 11756940.5485304721 -
The
cube root of 138225651061680 is 51704.6435028871
Scales and comparisons
How big is 138225651061680?- 138,225,651,061,680 seconds is equal to 4,395,148 years, 7 weeks, 3 days, 7 hours, 48 minutes.
-
To count from 1 to 138,225,651,061,680 would take you about ten million, nine hundred eighty-seven thousand, eight hundred seventy 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 138225651061680 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138225651061680
- 138225651061680 backwards is 086160156522831
- 138225651061680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138225651061680's digits is 54
- More coming soon!
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MLA style:
"Number 138225651061680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138225651061680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138225651061680/
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Numbermatics. 2024. "Number 138225651061680 - Facts about the integer". https://numbermatics.com/n/138225651061680/
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