135304417920

Names of 135304417920

• Cardinal: 135304417920 can be written as One hundred thirty-five billion, three hundred four million, four hundred seventeen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3530441792 × 10¹¹

Factors of 135304417920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1424

Divisors of 135304417920

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 56 60 64 70 74 80 84 96 105 111 112 120 128 140 148 160 168 185 192 210 222 224 240 241 259 280 296 320 336 370 384 420 444 448 480 482 518 555 560 592 640 672 723 740 777 840 888 896 960 964 1036 1110 1120 1129 1184 1205 1295 1344 1446 1480 1554 1680 1687 1776 1920 1928 2072 2220 2240 2258 2368 2410 2590 2688 2892 2960 3108 3360 3374 3387 3552 3615 3856 3885 4144 4440 4480 4516 4736 4820 5061 5180 5645 5784 5920 6216 6720 6748 6774 7104 7230 7712 7770 7903 8288 8435 8880 8917 9032 9640 10122 10360 11290 11568 11840 12432 13440 13496 13548 14208 14460 15424 15540 15806 16576 16870 16935 17760 17834 18064 19280 20244 20720 22580 23136 23680 23709 24864 25305 26751 26992 27096 28920 30848 31080 31612 33152 33740 33870 35520 35668 36128 38560 39515 40488 41440 41773 44585 45160 46272 47418 49728 50610 53502 53984 54192 57840 62160 62419 63224 67480 67740 71040 71336 72256 77120 79030 80976 82880 83546 89170 90320 92544 94836 99456 101220 107004 107968 108384 115680 118545 124320 124838 125319 126448 133755 134960 135480 142672 144512 154240 158060 161952 165760 167092 178340 180640 187257 189672 202440 208865 214008 215936 216768 231360 237090 248640 249676 250638 252896 267510 269920 270960 272089 285344 292411 312095 316120 323904 334184 356680 361280 374514 379344 404880 417730 428016 433536 462720 474180 497280 499352 501276 505792 535020 539840 541920 544178 570688 584822 624190 626595 632240 647808 668368 713360 722560 749028 758688 809760 816267 835460 856032 877233 936285 948360 998704 1002552 1011584 1070040 1079680 1083840 1088356 1141376 1169644 1248380 1253190 1264480 1336736 1360445 1426720 1462055 1498056 1517376 1619520 1632534 1670920 1712064 1754466 1872570 1896720 1904623 1997408 2005104 2140080 2167680 2176712 2339288 2496760 2506380 2528960 2673472 2720890 2853440 2924110 2996112 3034752 3239040 3265068 3341840 3424128 3508932 3745140 3793440 3809246 3994816 4010208 4081335 4280160 4353424 4386165 4678576 4993520 5012760 5057920 5346944 5441780 5706880 5713869 5848220 5992224 6530136 6683680 7017864 7490280 7586880 7618492 7989632 8020416 8162670 8560320 8706848 8772330 9357152 9523115 9987040 10025520 10067293 10883560 11427738 11696440 11984448 13060272 13367360 14035728 14980560 15173760 15236984 16040832 16325340 17120640 17413696 17544660 18714304 19046230 19974080 20051040 20134586 21767120 22855476 23392880 23968896 26120544 26734720 28071456 28569345 29961120 30201879 30473968 32650680 34827392 35089320 37428608 38092460 39948160 40102080 40269172 43534240 45710952 46785760 50336465 52241088 56142912 57138690 59922240 60403758 60947936 65301360 70178640 70471051 76184920 80204160 80538344 87068480 91421904 93571520 100672930 104482176 112285824 114277380 119844480 120807516 121895872 130602720 140357280 140942102 151009395 152369840 161076688 174136960 182843808 187143040 201345860 211413153 228554760 241615032 243791744 261205440 280714560 281884204 302018790 304739680 322153376 352355255 365687616 402691720 422826306 457109520 483230064 522410880 561429120 563768408 604037580 609479360 644306752 704710510 731375232 805383440 845652612 914219040 966460128 1057065765 1127536816 1208075160 1218958720 1288613504 1409421020 1610766880 1691305224 1828438080 1932920256 2114131530 2255073632 2416150320 2818842040 3221533760 3382610448 3656876160 3865840512 4228263060 4510147264 4832300640 5637684080 6443067520 6765220896 8456526120 9020294528 9664601280 11275368160 13530441792 16913052240 19329202560 22550736320 27060883584 33826104480 45101472640 67652208960 135304417920
• Sum of all divisors σ(n): 508766860800
• Sum of proper divisors (its aliquot sum) s(n): 373462442880
• 135304417920 is an abundant number, because the sum of its proper divisors (373462442880) is greater than itself. Its abundance is 238158024960

Bases of 135304417920

• Binary: 1111110000000110001011001001010000000₂
• Hexadecimal: 0x1F80C59280
• Base-36: 1Q5OR91C

Squares and roots of 135304417920

• 135304417920 squared (135304417920²) is 18307285508670017126400
• 135304417920 cubed (135304417920³) is 2477056609445847780643983065088000
• The square root of 135304417920 is 367837.4884646751
• The cube root of 135304417920 is 5133.7808514479

Scales and comparisons

• 135,304,417,920 seconds is equal to 4,302 years, 13 weeks, 4 days, 8 hours, 32 minutes.
• To count from 1 to 135,304,417,920 would take you about eight thousand, six hundred four 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 135304417920 cubic inches would be around 427.8 feet tall.

Recreational maths with 135304417920

• 135304417920 backwards is 029714403531
• The number of decimal digits it has is: 12
• The sum of 135304417920's digits is 39
• More coming soon!