135672148084264
135,672,148,084,264 is an even composite number composed of six prime numbers multiplied together.
135672148084264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135672148084264:
23 × 112 × 17 × 19 × 31 × 2413
(2 × 2 × 2 × 11 × 11 × 17 × 19 × 31 × 241 × 241 × 241)See below for interesting mathematical facts about the number 135672148084264 from the Numbermatics database.
Names of 135672148084264
- Cardinal: 135672148084264 can be written as One hundred thirty-five trillion, six hundred seventy-two billion, one hundred forty-eight million, eighty-four thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.35672148084264 × 1014
Factors of 135672148084264
Divisors of 135672148084264
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 11 17 19 22 31 34 38 44 62 68 76 88 121 124 136 152 187 209 241 242 248 323 341 374 418 482 484 527 589 646 682 748 836 964 968 1054 1178 1292 1364 1496 1672 1928 2057 2108 2299 2356 2584 2651 2728 3553 3751 4097 4114 4216 4579 4598 4712 5302 5797 6479 7106 7471 7502 8194 8228 9158 9196 10013 10604 11594 12958 14212 14942 15004 16388 16456 18316 18392 20026 21208 23188 25916 28424 29161 29884 30008 32776 36632 39083 40052 45067 46376 50369 51832 58081 58322 59768 63767 71269 77843 78166 80104 82181 90134 100738 110143 116162 116644 127007 127534 141949 142538 155686 156332 164362 180268 201476 220286 232324 233288 254014 255068 283898 285076 311372 312664 328724 360536 402952 440572 464648 495737 508028 510136 554059 567796 570152 622744 638891 657448 856273 881144 903991 987377 991474 1016056 1103539 1108118 1135592 1211573 1277782 1397077 1561439 1712546 1800511 1807982 1974754 1982948 2207078 2216236 2413133 2423146 2555564 2794154 3122878 3425092 3601022 3615964 3949508 3965896 4414156 4432472 4826266 4846292 5111128 5588308 6245756 6850184 7027801 7202044 7231928 7899016 8828312 9419003 9652532 9692584 10861147 11176616 12138929 12491512 13997521 14055602 14404088 15367847 17175829 18760163 18838006 19305064 19805621 21722294 24277858 26544463 27995042 28111204 30608687 30735694 34209709 34351658 37520326 37676012 39611242 43444588 48555716 53088926 55990084 56222408 61217374 61471388 68419418 68703316 75040652 75352024 79222484 86889176 97111432 106177852 111980168 119472617 122434748 122942776 133528219 136838836 137406632 150081304 153972731 158444968 206361793 212355704 217861831 237957857 238945234 244869496 265952899 267056438 273677672 291989093 307945462 336695557 376306799 412723586 433923151 435723662 475915714 477890468 531905798 534112876 581565053 583978186 615890924 673391114 752613598 825447172 867846302 871447324 951831428 955780936 1063811596 1068225752 1163130106 1167956372 1231781848 1346782228 1505227196 1650894344 1693700041 1735692604 1742894648 1903662856 2127623192 2269979723 2326260212 2335912744 2617536427 2693564456 2925481889 3010454392 3387400082 3471385208 3703651127 4139374789 4521199283 4539959446 4652520424 4773154661 5235072854 5850963778 6397215583 6774800164 7376693567 7407302254 8244539869 8278749578 9042398566 9079918892 9546309322 10470145708 11701927556 12794431166 13549600328 14753387134 14814604508 16489079738 16557499156 18084797132 18159837784 19092618644 20940291416 23403855112 25588862332 28792900697 29506774268 29629209016 32180300779 32978159476 33114998312 36169594264 38185237288 49733192113 51177724664 52504701271 57585801394 59013548536 64360601558 65956318952 70369371413 81143629237 90689938559 99466384226 105009402542 115171602788 128721203116 140157177773 140738742826 162287258474 181379877118 198932768452 210018805084 230343205576 257442406232 280314355546 281477485652 324574516948 362759754236 397865536904 420037610168 547065113243 560628711092 562954971304 649149033896 725519508472 892579921607 997589324149 1094130226486 1121257422184 1541728955503 1785159843214 1995178648298 2188260452972 3083457911006 3570319686428 3990357296596 4376520905944 6166915822012 7140639372856 7980714593192 12333831644024 16959018510533 33918037021066 67836074042132 135672148084264
- Sum of all divisors σ(n): 323037029145600
- Sum of proper divisors (its aliquot sum) s(n): 187364881061336
- 135672148084264 is an abundant number, because the sum of its proper divisors (187364881061336) is greater than itself. Its abundance is 51692732977072
Bases of 135672148084264
- Binary: 111101101100100101000100011000101000110001010002
- Hexadecimal: 0x7B64A2314628
- Base-36: 1C3AXA0NQG
Squares and roots of 135672148084264
- 135672148084264 squared (1356721480842642) is 18406931765798459765244421696
- 135672148084264 cubed (1356721480842643) is 2497307972306351669755527850172678957791744
-
The
square root of 135672148084264 is 11647838.7731056785 -
The
cube root of 135672148084264 is 51384.2750531813
Scales and comparisons
How big is 135672148084264?- 135,672,148,084,264 seconds is equal to 4,313,954 years, 33 weeks, 4 days, 17 hours, 11 minutes, 4 seconds.
-
To count from 1 to 135,672,148,084,264 would take you about ten million, seven hundred eighty-four thousand, eight hundred eighty-six 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 135672148084264 cubic inches would be around 4282 feet tall.
Recreational maths with 135672148084264
- 135672148084264 backwards is 462480841276531
- The number of decimal digits it has is: 15
- The sum of 135672148084264's digits is 61
- More coming soon!
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