135825921504

Names of 135825921504

• Cardinal: 135825921504 can be written as One hundred thirty-five billion, eight hundred twenty-five million, nine hundred twenty-one thousand, five hundred four.

Scientific notation

• Scientific notation: 1.35825921504 × 10¹¹

Factors of 135825921504

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 246

Divisors of 135825921504

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 32 36 39 42 46 48 52 56 63 69 72 78 84 91 92 96 97 101 104 112 117 126 138 144 156 161 168 182 184 194 202 207 208 224 234 252 273 276 288 291 299 303 312 322 336 364 368 388 404 414 416 468 483 504 529 546 552 582 598 606 624 644 672 679 707 728 736 776 808 819 828 873 897 909 936 966 1008 1058 1092 1104 1164 1196 1212 1248 1261 1288 1313 1358 1414 1449 1456 1552 1587 1616 1638 1656 1746 1794 1818 1872 1932 2016 2037 2093 2116 2121 2184 2208 2231 2323 2328 2392 2424 2522 2576 2626 2691 2716 2828 2898 2912 3104 3174 3232 3276 3312 3492 3588 3636 3703 3744 3783 3864 3939 4074 4186 4232 4242 4368 4462 4646 4656 4761 4784 4848 5044 5152 5252 5382 5432 5656 5796 6111 6279 6348 6363 6552 6624 6693 6877 6969 6984 7176 7272 7406 7566 7728 7878 8148 8372 8464 8484 8736 8827 8924 9191 9292 9312 9522 9568 9696 9797 10088 10504 10764 10864 11109 11312 11349 11592 11817 12222 12558 12696 12726 13104 13386 13754 13938 13968 14352 14544 14812 15132 15456 15617 15756 16261 16296 16744 16928 16968 17654 17848 18382 18584 18837 19044 19594 20079 20176 20631 20907 21008 21528 21728 22218 22624 22698 23184 23634 24444 25116 25392 25452 26208 26481 26772 27508 27573 27876 27936 28704 29003 29088 29391 29624 30199 30264 31234 31512 32522 32592 33327 33488 33936 35308 35696 36764 37168 37674 38088 39188 40158 40352 41262 41814 42016 43056 44436 45396 46368 46851 47268 48139 48783 48888 50232 50784 50904 51313 52962 53429 53544 55016 55146 55752 58006 58782 59248 60398 60528 61893 62468 63024 65044 65184 66654 66976 67872 68579 70616 71392 73528 74336 75348 76176 78376 79443 80316 82524 82719 83628 86112 87009 88173 88872 90597 90792 93702 94536 96278 97566 97776 100464 101808 102626 105924 106858 107088 110032 110292 111504 116012 117564 118496 120796 121056 123786 124936 126048 127361 130088 133308 137158 140553 141232 144417 146349 147056 150696 152352 153939 156752 158886 160287 160632 165048 165438 167256 174018 176346 177744 181194 181584 187404 189072 192556 195132 195552 200928 203021 203616 205252 205737 211393 211848 213716 214176 220064 220584 223008 225331 232024 235128 241592 247572 249872 254722 260176 261027 266616 271791 274316 281106 282464 288834 292698 294112 301392 307878 313504 317772 320574 321264 330096 330876 334512 348036 352692 355488 359191 362388 363168 374003 374808 378144 382083 385112 390264 406042 410504 411474 422786 423696 427432 433251 441168 450662 461817 464048 470256 480861 483184 495144 499744 509444 520352 522054 533232 543582 548632 562212 577668 585396 602784 609063 615756 617211 634179 635544 641148 642528 660192 661752 667069 669024 675993 694577 696072 705384 718382 724776 748006 749616 764166 770224 780528 812084 821008 822948 845572 847392 854864 866502 882336 891527 901324 923634 928096 940512 961722 966368 990288 1018888 1044108 1066464 1077573 1087164 1097264 1122009 1124424 1146249 1155336 1170792 1218126 1231512 1234422 1268358 1271088 1282296 1323504 1334138 1351986 1389154 1392144 1410768 1436764 1449552 1496012 1499232 1528332 1540448 1561056 1577317 1624168 1642016 1645896 1691144 1709728 1733004 1783054 1802648 1827189 1847268 1902537 1923444 1980576 2001207 2027979 2037776 2083731 2088216 2155146 2174328 2194528 2244018 2248848 2292498 2310672 2341584 2436252 2463024 2468844 2536716 2542176 2564592 2647008 2668276 2674581 2703972 2778308 2784288 2821536 2873528 2899104 2929303 2992024 3056664 3154634 3232719 3248336 3291792 3366027 3382288 3466008 3566108 3605296 3654378 3694536 3805074 3846888 4002414 4055958 4075552 4167462 4176432 4310292 4348656 4488036 4497696 4584996 4621344 4669483 4683168 4731951 4862039 4872504 4926048 4937688 5073432 5129184 5182613 5336552 5349162 5407944 5556616 5747056 5858606 5984048 6003621 6113328 6251193 6309268 6465438 6496672 6583584 6732054 6764576 6932016 7132216 7210592 7308756 7389072 7610148 7693776 8004828 8023743 8111916 8334924 8352864 8620584 8697312 8787909 8976072 9169992 9338966 9463902 9724078 9745008 9875376 10146864 10365226 10673104 10698324 10815888 11113232 11494112 11717212 11968096 12007242 12226656 12502386 12618536 12930876 13464108 13864032 14008449 14195853 14264432 14586117 14617512 14778144 15220296 15387552 15547839 16009656 16047486 16223832 16669848 17241168 17575818 17952144 18339984 18677932 18927804 19448156 19490016 19750752 20293728 20505121 20730452 21346208 21396648 21631776 22226464 23434424 24014484 25004772 25237072 25861752 26363727 26928216 28016898 28391706 28528864 29172234 29235024 30440592 31095678 32019312 32094972 32447664 33339696 34482336 35151636 35904288 36278291 36679968 37355864 37855608 38896312 41010242 41460904 42025347 42793296 43758351 46643517 46868848 48028968 50009544 50474144 51723504 52727454 53856432 56033796 56783412 58344468 58470048 60881184 61515363 62191356 64038624 64189944 64895328 66679392 67373969 70303272 72556582 74711728 75711216 77792624 82020484 82921808 84050694 85586592 87516702 93287034 93737696 96057936 100019088 103447008 105454908 107712864 108834873 112067592 113566824 116688936 123030726 124382712 128379888 134747938 140606544 145113164 149423456 151422432 155585248 164040968 165843616 168101388 175033404 184546089 186574068 192115872 200038176 202121907 210909816 217669746 224135184 227133648 233377872 246061452 248765424 256759776 269495876 281213088 290226328 326504619 328081936 336202776 350066808 369092178 373148136 404243814 421819632 435339492 448270368 454267296 466755744 471617783 492122904 497530848 538991752 580452656 606365721 653009238 656163872 672405552 700133616 738184356 746296272 808487628 843639264 870678984 943235566 984245808 1077983504 1160905312 1212731442 1306018476 1344811104 1400267232 1414853349 1476368712 1492592544 1616975256 1741357968 1886471132 1968491616 2155967008 2425462884 2612036952 2829706698 2952737424 3233950512 3482715936 3772942264 4244560047 4850925768 5224073904 5659413396 5905474848 6467901024 7545884528 8489120094 9701851536 10448147808 11318826792 15091769056 16978240188 19403703072 22637653584 33956480376 45275307168 67912960752 135825921504
• Sum of all divisors σ(n): 507052937664
• Sum of proper divisors (its aliquot sum) s(n): 371227016160
• 135825921504 is an abundant number, because the sum of its proper divisors (371227016160) is greater than itself. Its abundance is 235401094656

Bases of 135825921504

• Binary: 1111110011111110110110001010111100000₂
• Hexadecimal: 0x1F9FDB15E0
• Base-36: 1QEB8VS0

Squares and roots of 135825921504

• 135825921504 squared (135825921504²) is 18448680952410769622016
• 135825921504 cubed (135825921504³) is 2505809090894485154244172966232064
• The square root of 135825921504 is 368545.6844191773
• The cube root of 135825921504 is 5140.3681031575

Scales and comparisons

• 135,825,921,504 seconds is equal to 4,318 years, 43 weeks, 6 days, 6 hours, 38 minutes, 24 seconds.
• To count from 1 to 135,825,921,504 would take you about eight thousand, six hundred thirty-seven 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 135825921504 cubic inches would be around 428.4 feet tall.

Recreational maths with 135825921504

• 135825921504 backwards is 405129528531
• The number of decimal digits it has is: 12
• The sum of 135825921504's digits is 45
• More coming soon!