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14811155940 = 22357281125497
BaseRepresentation
bin11011100101101000…
…00100110111100100
31102020012210200100010
431302310010313210
5220313123442230
610445410250220
71033014514440
oct156264046744
942205720303
1014811155940
116310569749
122a54286970
1315206997c9
14a07107820
155ba4609b0
hex372d04de4

14811155940 has 96 divisors (see below), whose sum is σ = 47564745984. Its totient is φ = 3373332480.

The previous prime is 14811155927. The next prime is 14811155963. The reversal of 14811155940 is 4955111841.

14811155940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55272 + ... + 180768.

It is an arithmetic number, because the mean of its divisors is an integer number (495466104).

Almost surely, 214811155940 is an apocalyptic number.

14811155940 is a gapful number since it is divisible by the number (10) 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 14811155940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782372992).

14811155940 is an abundant number, since it is smaller than the sum of its proper divisors (32753590044).

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

14811155940 is a wasteful number, since it uses less digits than its factorization.

14811155940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125797 (or 125795 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 14811155940 in words is "fourteen billion, eight hundred eleven million, one hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 118020 125497 250994 376491 501988 627485 752982 878479 1254970 1505964 1756958 1882455 2509940 2635437 3513916 3764910 4392395 5270874 7529820 8784790 10541748 13177185 17569580 26354370 35264657 52708740 70529314 105793971 141058628 176323285 211587942 246852599 352646570 423175884 493705198 528969855 705293140 740557797 987410396 1057939710 1234262995 1481115594 2115879420 2468525990 2962231188 3702788985 4937051980 7405577970 14811155940