45978816000

Names of 45978816000

• Cardinal: 45978816000 can be written as Forty-five billion, nine hundred seventy-eight million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.5978816 × 10¹⁰

Factors of 45978816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 132

Divisors of 45978816000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 109 120 125 128 130 150 156 160 169 192 195 200 208 218 240 250 256 260 300 312 320 325 327 338 375 384 390 400 416 436 480 500 507 512 520 545 600 624 640 650 654 676 750 768 780 800 832 845 872 960 975 1000 1014 1040 1090 1200 1248 1280 1300 1308 1352 1417 1500 1536 1560 1600 1625 1635 1664 1690 1744 1920 1950 2000 2028 2080 2180 2197 2400 2496 2535 2560 2600 2616 2704 2725 2834 3000 3120 3200 3250 3270 3328 3380 3488 3840 3900 4000 4056 4160 4225 4251 4360 4394 4800 4875 4992 5070 5200 5232 5408 5450 5668 6000 6240 6400 6500 6540 6591 6656 6760 6976 7085 7680 7800 8000 8112 8175 8320 8450 8502 8720 8788 9600 9750 9984 10140 10400 10464 10816 10900 10985 11336 12000 12480 12675 12800 13000 13080 13182 13520 13625 13952 14170 15600 16000 16224 16350 16640 16900 17004 17440 17576 18421 19200 19500 19968 20280 20800 20928 21125 21255 21632 21800 21970 22672 24000 24960 25350 26000 26160 26364 27040 27250 27904 28340 31200 32000 32448 32700 32955 33280 33800 34008 34880 35152 35425 36842 38400 39000 40560 40875 41600 41856 42250 42510 43264 43600 43940 45344 48000 49920 50700 52000 52320 52728 54080 54500 54925 55263 55808 56680 62400 63375 64000 64896 65400 65910 67600 68016 69760 70304 70850 73684 78000 81120 81750 83200 83712 84500 85020 86528 87200 87880 90688 92105 96000 99840 101400 104000 104640 105456 106275 108160 109000 109850 110526 113360 124800 126750 129792 130800 131820 135200 136032 139520 140608 141700 147368 156000 162240 163500 164775 166400 167424 169000 170040 174400 175760 177125 181376 184210 192000 202800 208000 209280 210912 212550 216320 218000 219700 221052 226720 239473 249600 253500 259584 261600 263640 270400 272064 274625 276315 279040 281216 283400 294736 312000 324480 327000 329550 338000 340080 348800 351520 354250 362752 368420 405600 416000 418560 421824 425100 432640 436000 439400 442104 453440 460525 478946 499200 507000 523200 527280 531375 540800 544128 549250 552630 562432 566800 589472 624000 648960 654000 659100 676000 680160 697600 703040 708500 718419 725504 736840 811200 823875 832000 837120 843648 850200 872000 878800 884208 906880 921050 957892 1014000 1046400 1054560 1062750 1081600 1088256 1098500 1105260 1124864 1133600 1178944 1197365 1248000 1297920 1308000 1318200 1352000 1360320 1381575 1395200 1406080 1417000 1436838 1473680 1622400 1647750 1687296 1700400 1744000 1757600 1768416 1813760 1842100 1915784 2028000 2092800 2109120 2125500 2163200 2176512 2197000 2210520 2267200 2302625 2357888 2394730 2496000 2616000 2636400 2704000 2720640 2763150 2812160 2834000 2873676 2947360 3244800 3295500 3374592 3400800 3488000 3515200 3536832 3592095 3627520 3684200 3831568 4056000 4185600 4218240 4251000 4394000 4421040 4534400 4605250 4715776 4789460 5232000 5272800 5408000 5441280 5526300 5624320 5668000 5747352 5894720 5986825 6489600 6591000 6801600 6907875 6976000 7030400 7073664 7184190 7368400 7663136 8112000 8436480 8502000 8788000 8842080 9068800 9210500 9431552 9578920 10464000 10545600 10816000 10882560 11052600 11336000 11494704 11789440 11973650 13182000 13603200 13815750 14060800 14147328 14368380 14736800 15326272 16224000 16872960 17004000 17576000 17684160 17960475 18137600 18421000 19157840 20928000 21091200 22105200 22672000 22989408 23578880 23947300 26364000 27206400 27631500 28121600 28294656 28736760 29473600 29934125 30652544 32448000 34008000 35152000 35368320 35920950 36842000 38315680 42182400 44210400 45344000 45978816 47157760 47894600 52728000 54412800 55263000 57473520 58947200 59868250 61305088 68016000 70304000 70736640 71841900 73684000 76631360 84364800 88420800 89802375 90688000 91957632 95789200 105456000 110526000 114947040 117894400 119736500 122610176 136032000 140608000 141473280 143683800 147368000 153262720 176841600 179604750 183915264 191578400 210912000 221052000 229894080 235788800 239473000 272064000 287367600 294736000 306525440 353683200 359209500 367830528 383156800 421824000 442104000 459788160 478946000 574735200 589472000 613050880 707366400 718419000 766313600 884208000 919576320 957892000 1149470400 1178944000 1436838000 1532627200 1768416000 1839152640 1915784000 2298940800 2873676000 3065254400 3536832000 3831568000 4597881600 5747352000 7663136000 9195763200 11494704000 15326272000 22989408000 45978816000
• Sum of all divisors σ(n): 167120553600
• Sum of proper divisors (its aliquot sum) s(n): 121141737600
• 45978816000 is an abundant number, because the sum of its proper divisors (121141737600) is greater than itself. Its abundance is 75162921600

Bases of 45978816000

• Binary: 101010110100100011010000111000000000₂
• Hexadecimal: 0xAB48D0E00
• Base-36: L4ELLHC

Squares and roots of 45978816000

• 45978816000 squared (45978816000²) is 2114051520761856000000
• 45978816000 cubed (45978816000³) is 97201585887629556842496000000000
• The square root of 45978816000 is 214426.7147535493
• The cube root of 45978816000 is 3582.4977627493

Scales and comparisons

• 45,978,816,000 seconds is equal to 1,461 years, 51 weeks, 1 day, 5 hours, 20 minutes.
• To count from 1 to 45,978,816,000 would take you about two thousand, nine hundred twenty-three 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 45978816000 cubic inches would be around 298.5 feet tall.

Recreational maths with 45978816000

• 45978816000 backwards is 00061887954
• 45978816000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 45978816000's digits is 48
• More coming soon!