45313084800

Names of 45313084800

• Cardinal: 45313084800 can be written as Forty-five billion, three hundred thirteen million, eighty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.53130848 × 10¹⁰

Factors of 45313084800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3096

Divisors of 45313084800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 243 270 285 288 300 304 320 324 342 360 380 384 400 405 432 450 456 475 480 486 513 540 570 576 600 608 640 648 675 684 720 760 800 810 855 864 900 912 950 960 972 1026 1080 1140 1152 1200 1215 1216 1296 1350 1368 1425 1440 1520 1539 1600 1620 1710 1728 1800 1824 1900 1920 1944 2025 2052 2160 2280 2400 2430 2432 2565 2592 2700 2736 2850 2880 3040 3067 3078 3200 3240 3420 3456 3600 3648 3800 3888 4050 4104 4275 4320 4560 4617 4800 4860 5130 5184 5400 5472 5700 5760 6075 6080 6134 6156 6480 6840 7200 7296 7600 7695 7776 8100 8208 8550 8640 9120 9201 9234 9600 9720 10260 10368 10800 10944 11400 12150 12160 12268 12312 12825 12960 13680 14400 15200 15335 15390 15552 16200 16416 17100 17280 18240 18402 18468 19440 20520 21600 21888 22800 23085 24300 24536 24624 25650 25920 27360 27603 28800 30400 30670 30780 31104 32400 32832 34200 36480 36804 36936 38475 38880 41040 43200 45600 46005 46170 48600 49072 49248 51300 51840 54720 55206 58273 60800 61340 61560 64800 65664 68400 73608 73872 76675 76950 77760 82080 82809 86400 91200 92010 92340 97200 98144 98496 102600 109440 110412 115425 116546 122680 123120 129600 136800 138015 147216 147744 153350 153900 155520 164160 165618 174819 182400 184020 184680 194400 196288 196992 205200 220824 230025 230850 233092 245360 246240 248427 259200 273600 276030 291365 294432 295488 306700 307800 328320 331236 349638 368040 369360 388800 392576 410400 414045 441648 460050 461700 466184 490720 492480 496854 524457 547200 552060 582730 588864 590976 613400 615600 662472 690075 699276 736080 738720 745281 777600 820800 828090 874095 883296 920100 923400 932368 981440 984960 993708 1048914 1104120 1165460 1177728 1226800 1231200 1242135 1324944 1380150 1398552 1456825 1472160 1477440 1490562 1573371 1641600 1656180 1748190 1766592 1840200 1846800 1864736 1962880 1987416 2070225 2097828 2208240 2330920 2453600 2462400 2484270 2622285 2649888 2760300 2797104 2913650 2944320 2954880 2981124 3146742 3312360 3496380 3533184 3680400 3693600 3726405 3729472 3974832 4140450 4195656 4370475 4416480 4661840 4720113 4907200 4924800 4968540 5244570 5299776 5520600 5594208 5827300 5888640 5962248 6210675 6293484 6624720 6992760 7360800 7387200 7452810 7458944 7866855 7949664 8280900 8391312 8740950 8832960 9323680 9440226 9814400 9937080 10489140 10599552 11041200 11188416 11654600 11924496 12421350 12586968 13111425 13249440 13985520 14160339 14721600 14774400 14905620 15733710 15899328 16561800 16782624 17481900 17665920 18632025 18647360 18880452 19874160 20978280 22082400 22376832 23309200 23600565 23848992 24842700 25173936 26222850 26498880 27971040 28320678 29443200 29811240 31467420 31798656 33123600 33565248 34963800 37264050 37294720 37760904 39334275 39748320 41956560 44164800 46618400 47201130 47697984 49685400 50347872 52445700 52997760 55942080 56641356 59622480 62934840 66247200 67130496 69927600 70801695 74528100 75521808 78668550 79496640 83913120 88329600 93236800 94402260 95395968 99370800 100695744 104891400 111884160 113282712 118002825 119244960 125869680 132494400 139855200 141603390 149056200 151043616 157337100 158993280 167826240 186473600 188804520 198741600 201391488 209782800 226565424 236005650 238489920 251739360 264988800 279710400 283206780 298112400 302087232 314674200 335652480 354008475 377609040 397483200 419565600 453130848 472011300 476979840 503478720 559420800 566413560 596224800 604174464 629348400 708016950 755218080 794966400 839131200 906261696 944022600 1006957440 1132827120 1192449600 1258696800 1416033900 1510436160 1678262400 1812523392 1888045200 2265654240 2384899200 2517393600 2832067800 3020872320 3776090400 4531308480 5034787200 5664135600 7552180800 9062616960 11328271200 15104361600 22656542400 45313084800
• Sum of all divisors σ(n): 176558491200
• Sum of proper divisors (its aliquot sum) s(n): 131245406400
• 45313084800 is an abundant number, because the sum of its proper divisors (131245406400) is greater than itself. Its abundance is 85932321600

Bases of 45313084800

• Binary: 101010001100110111101100110110000000₂
• Hexadecimal: 0xA8CDECD80
• Base-36: KTE8O00

Squares and roots of 45313084800

• 45313084800 squared (45313084800²) is 2053275654091991040000
• 45313084800 cubed (45313084800³) is 93040253831645856996360192000000
• The square root of 45313084800 is 212868.7031951855
• The cube root of 45313084800 is 3565.1232048021

Scales and comparisons

• 45,313,084,800 seconds is equal to 1,440 years, 42 weeks, 3 days.
• To count from 1 to 45,313,084,800 would take you about two thousand, eight hundred eighty-one 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 45313084800 cubic inches would be around 297.1 feet tall.

Recreational maths with 45313084800

• 45313084800 backwards is 00848031354
• 45313084800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 45313084800's digits is 36
• More coming soon!