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54313124000 = 2553131103651
BaseRepresentation
bin110010100101010100…
…001000000010100000
312012012011201120110012
4302211110020002200
51342213124432000
640541234424052
73631633636202
oct624524100240
9165164646405
1054313124000
1121041384a43
12a639432028
1351775059c5
1428b34b2772
15162d36c735
hexca55080a0

54313124000 has 96 divisors (see below), whose sum is σ = 134467324992. Its totient is φ = 21559200000.

The previous prime is 54313123951. The next prime is 54313124009. The reversal of 54313124000 is 42131345.

It is not an unprimeable number, because it can be changed into a prime (54313124009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472175 + ... + 575825.

It is an arithmetic number, because the mean of its divisors is an integer number (1400701302).

Almost surely, 254313124000 is an apocalyptic number.

54313124000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54313124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67233662496).

54313124000 is an abundant number, since it is smaller than the sum of its proper divisors (80154200992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54313124000 is a wasteful number, since it uses less digits than its factorization.

54313124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103807 (or 103789 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 54313124000 its reverse (42131345), we get a palindrome (54355255345).

The spelling of 54313124000 in words is "fifty-four billion, three hundred thirteen million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 524 655 800 1000 1048 1310 2000 2096 2620 3275 4000 4192 5240 6550 10480 13100 16375 20960 26200 32750 52400 65500 103651 104800 131000 207302 262000 414604 518255 524000 829208 1036510 1658416 2073020 2591275 3316832 4146040 5182550 8292080 10365100 12956375 13578281 16584160 20730200 25912750 27156562 41460400 51825500 54313124 67891405 82920800 103651000 108626248 135782810 207302000 217252496 271565620 339457025 414604000 434504992 543131240 678914050 1086262480 1357828100 1697285125 2172524960 2715656200 3394570250 5431312400 6789140500 10862624800 13578281000 27156562000 54313124000