135825318720

Names of 135825318720

• Cardinal: 135825318720 can be written as One hundred thirty-five billion, eight hundred twenty-five million, three hundred eighteen thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3582531872 × 10¹¹

Factors of 135825318720

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 119

Divisors of 135825318720

• Number of divisors d(n): 2688
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 23 24 26 27 28 29 30 32 35 36 37 39 40 42 45 46 48 49 52 54 56 58 60 63 64 65 69 70 72 74 78 80 84 87 90 91 92 96 98 104 105 108 111 112 115 116 117 120 126 130 135 138 140 144 145 147 148 156 160 161 168 174 180 182 184 185 189 192 195 196 203 207 208 210 216 222 224 230 232 234 240 245 252 259 260 261 270 273 276 280 288 290 294 296 299 312 315 320 322 333 336 345 348 351 360 364 368 370 377 378 390 392 406 414 416 420 432 435 441 444 448 455 460 464 468 480 481 483 490 504 518 520 522 540 546 552 555 560 576 580 585 588 592 598 609 621 624 630 637 644 666 667 672 690 696 702 720 728 735 736 740 754 756 777 780 783 784 805 812 819 828 832 840 851 864 870 882 888 897 910 920 928 936 945 960 962 966 980 999 1008 1015 1035 1036 1040 1044 1073 1080 1092 1104 1110 1120 1127 1131 1160 1170 1176 1184 1196 1218 1242 1248 1260 1274 1288 1295 1305 1323 1332 1334 1344 1365 1380 1392 1404 1421 1440 1443 1449 1456 1470 1472 1480 1495 1508 1512 1554 1560 1566 1568 1610 1624 1638 1656 1665 1680 1702 1728 1740 1755 1764 1776 1794 1813 1820 1827 1840 1856 1872 1885 1890 1911 1924 1932 1960 1998 2001 2016 2030 2070 2072 2080 2088 2093 2146 2160 2184 2205 2208 2220 2240 2254 2262 2320 2331 2340 2352 2368 2392 2405 2415 2436 2457 2484 2496 2520 2548 2553 2576 2590 2610 2639 2646 2664 2668 2691 2730 2760 2784 2808 2842 2880 2886 2898 2912 2940 2960 2990 3016 3024 3045 3105 3108 3120 3132 3136 3185 3219 3220 3248 3276 3312 3330 3335 3360 3367 3381 3393 3404 3480 3510 3528 3552 3588 3626 3640 3654 3680 3744 3770 3780 3822 3848 3864 3885 3915 3920 3996 4002 4032 4060 4095 4140 4144 4160 4176 4186 4255 4263 4292 4320 4329 4347 4368 4410 4416 4440 4485 4508 4524 4640 4662 4669 4680 4704 4784 4810 4830 4872 4914 4968 4995 5040 5096 5106 5152 5180 5220 5278 5292 5328 5336 5365 5382 5439 5460 5481 5520 5568 5616 5635 5655 5684 5733 5772 5796 5824 5880 5920 5957 5980 6003 6032 6048 6090 6210 6216 6240 6264 6279 6370 6438 6440 6496 6552 6615 6624 6660 6670 6720 6734 6762 6786 6808 6960 6993 7020 7056 7104 7105 7176 7215 7245 7252 7280 7308 7360 7488 7511 7540 7560 7644 7659 7696 7728 7770 7830 7840 7917 7992 8004 8073 8120 8190 8280 8288 8352 8372 8510 8526 8584 8640 8658 8671 8694 8736 8820 8880 8970 9016 9048 9065 9135 9280 9324 9338 9360 9408 9555 9568 9620 9657 9660 9744 9828 9936 9990 10005 10080 10101 10143 10179 10192 10212 10304 10360 10440 10465 10556 10584 10656 10672 10730 10764 10878 10920 10962 11040 11063 11232 11270 11310 11368 11466 11544 11592 11655 11760 11840 11914 11960 12006 12064 12096 12180 12285 12420 12432 12480 12528 12558 12740 12765 12789 12876 12880 12987 12992 13104 13195 13230 13248 13320 13340 13455 13468 13524 13572 13616 13920 13949 13986 14007 14040 14112 14210 14352 14430 14490 14504 14560 14616 14651 15022 15080 15120 15288 15318 15392 15456 15540 15660 15680 15834 15984 16008 16095 16146 16240 16317 16380 16560 16576 16704 16744 16835 16905 16965 17020 17052 17168 17199 17316 17342 17388 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628820920 646787232 653006340 656160960 669090240 692986320 696540096 707423535 718652480 734190912 738181080 746292960 754585104 780605280 808484040 843635520 848908242 870675120 917738640 923981760 936726336 943231380 970180848 984241440 1006113472 1044810144 1077978720 1131877656 1160900160 1170907920 1181089728 1212726060 1223651520 1257641840 1293574464 1306012680 1385972640 1414847070 1476362160 1492585920 1509170208 1561210560 1616968080 1697816484 1741350240 1835477280 1886462760 1940361696 1968482880 2089620288 2122270605 2155957440 2263755312 2341815840 2425452120 2515283680 2612025360 2771945280 2829694140 2952724320 3018340416 3233936160 3395632968 3482700480 3670954560 3772925520 3880723392 4244541210 4527510624 4683631680 4850904240 5030567360 5224050720 5659388280 5905448640 6467872320 6791265936 7545851040 8489082420 9055021248 9701808480 10448101440 11318776560 13582531872 15091702080 16978164840 19403616960 22637553120 27165063744 33956329680 45275106240 67912659360 135825318720
• Sum of all divisors σ(n): 665478374400
• Sum of proper divisors (its aliquot sum) s(n): 529653055680
• 135825318720 is an abundant number, because the sum of its proper divisors (529653055680) is greater than itself. Its abundance is 393827736960

Bases of 135825318720

• Binary: 1111110011111110100011110001101000000₂
• Hexadecimal: 0x1F9FD1E340
• Base-36: 1QEAVYO0

Squares and roots of 135825318720

• 135825318720 squared (135825318720²) is 18448517205389582438400
• 135825318720 cubed (135825318720³) is 2505775729333443736463394766848000
• The square root of 135825318720 is 368544.8666309165
• The cube root of 135825318720 is 5140.3604989727

Scales and comparisons

• 135,825,318,720 seconds is equal to 4,318 years, 42 weeks, 6 days, 7 hours, 12 minutes.
• To count from 1 to 135,825,318,720 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 135825318720 cubic inches would be around 428.4 feet tall.

Recreational maths with 135825318720

• 135825318720 backwards is 027813528531
• 135825318720 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135825318720's digits is 45
• More coming soon!