45438936400
45,438,936,400 is an even composite number composed of six prime numbers multiplied together.
45438936400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 45438936400:
24 × 52 × 112 × 13 × 257 × 281
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 257 × 281)See below for interesting mathematical facts about the number 45438936400 from the Numbermatics database.
Names of 45438936400
- Cardinal: 45438936400 can be written as Forty-five billion, four hundred thirty-eight million, nine hundred thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.54389364 × 1010
Factors of 45438936400
Divisors of 45438936400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 121 130 143 176 200 208 220 242 257 260 275 281 286 325 400 440 484 514 520 550 562 572 605 650 715 880 968 1028 1040 1100 1124 1144 1210 1285 1300 1405 1430 1573 1936 2056 2200 2248 2288 2420 2570 2600 2810 2827 2860 3025 3091 3146 3341 3575 3653 4112 4400 4496 4840 5140 5200 5620 5654 5720 6050 6182 6292 6425 6682 7025 7150 7306 7865 9680 10280 11240 11308 11440 12100 12364 12584 12850 13364 14050 14135 14300 14612 15455 15730 16705 18265 20560 22480 22616 24200 24728 25168 25700 26728 28100 28270 28600 29224 30910 31097 31460 33410 34001 36530 36751 39325 40183 45232 48400 49456 51400 53456 56200 56540 57200 58448 61820 62194 62920 66820 68002 70675 72217 73060 73502 77275 78650 80366 83525 91325 102800 112400 113080 123640 124388 125840 133640 136004 141350 144434 146120 147004 154550 155485 157300 160732 167050 170005 182650 183755 200915 226160 247280 248776 267280 272008 282700 288868 292240 294008 309100 310970 314600 321464 334100 340010 361085 365300 367510 401830 404261 442013 497552 544016 565400 577736 588016 618200 621940 629200 642928 668200 680020 722170 730600 735020 777425 794387 803660 808522 850025 884026 918775 938821 1004575 1130800 1155472 1236400 1243880 1336400 1360040 1444340 1461200 1470040 1554850 1588774 1607320 1617044 1700050 1768052 1805425 1837550 1877642 2009150 2021305 2210065 2487760 2720080 2888680 2940080 3109700 3177548 3214640 3234088 3400100 3536104 3610850 3675100 3755284 3971935 4018300 4042610 4420130 4694105 5777360 6219400 6355096 6468176 6800200 7072208 7221700 7350200 7510568 7943870 8036600 8085220 8738257 8840260 9388210 10106525 10327031 11050325 12438800 12710192 13600400 14443400 14700400 15021136 15887740 16073200 16170440 17476514 17680520 18776420 19859675 20213050 20654062 22100650 23470525 28886800 31775480 32340880 34953028 35361040 37552840 39719350 40426100 41308124 43691285 44201300 46941050 51635155 63550960 69906056 75105680 79438700 80852200 82616248 87382570 88402600 93882100 103270310 113597341 139812112 158877400 161704400 165232496 174765140 176805200 187764200 206540620 218456425 227194682 258175775 317754800 349530280 375528400 413081240 436912850 454389364 516351550 567986705 699060560 826162480 873825700 908778728 1032703100 1135973410 1747651400 1817557456 2065406200 2271946820 2839933525 3495302800 4130812400 4543893640 5679867050 9087787280 11359734100 22719468200 45438936400
- Sum of all divisors σ(n): 130188276792
- Sum of proper divisors (its aliquot sum) s(n): 84749340392
- 45438936400 is an abundant number, because the sum of its proper divisors (84749340392) is greater than itself. Its abundance is 39310403992
Bases of 45438936400
- Binary: 1010100101000101111100100101010100002
- Hexadecimal: 0xA945F2550
- Base-36: KVH63PS
Squares and roots of 45438936400
- 45438936400 squared (454389364002) is 2064696941163244960000
- 45438936400 cubed (454389364003) is 93817632994791229755060544000000
-
The
square root of 45438936400 is 213164.1067346939 -
The
cube root of 45438936400 is 3568.4207197087
Scales and comparisons
How big is 45438936400?- 45,438,936,400 seconds is equal to 1,444 years, 42 weeks, 3 days, 14 hours, 46 minutes, 40 seconds.
-
To count from 1 to 45,438,936,400 would take you about two thousand, eight hundred eighty-nine 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 45438936400 cubic inches would be around 297.4 feet tall.
Recreational maths with 45438936400
- 45438936400 backwards is 00463983454
- The number of decimal digits it has is: 11
- The sum of 45438936400's digits is 46
- More coming soon!
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