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14002530540 = 22357113272477
BaseRepresentation
bin11010000101001110…
…11010100011101100
31100010212020020211020
431002213122203230
5212134121434130
610233242454140
71003665355125
oct150247324354
940125206736
1014002530540
115a36077499
122869504350
131421cb693b
1496b97504c
1556e482e10
hex3429da8ec

14002530540 has 96 divisors (see below), whose sum is σ = 39805323264. Its totient is φ = 3677157120.

The previous prime is 14002530533. The next prime is 14002530569. The reversal of 14002530540 is 4503520041.

14002530540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×140025305403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14002530540.

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, 5651782 + ... + 5654258.

It is an arithmetic number, because the mean of its divisors is an integer number (414638784).

Almost surely, 214002530540 is an apocalyptic number.

14002530540 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 14002530540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902661632).

14002530540 is an abundant number, since it is smaller than the sum of its proper divisors (25802792724).

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

14002530540 is a wasteful number, since it uses less digits than its factorization.

14002530540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 14002530540 in words is "fourteen billion, two million, five hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1327 1420 2130 2477 2654 3981 4260 4954 5308 6635 7431 7962 9908 12385 13270 14862 15924 19905 24770 26540 29724 37155 39810 49540 74310 79620 94217 148620 175867 188434 282651 351734 376868 471085 527601 565302 703468 879335 942170 1055202 1130604 1413255 1758670 1884340 2110404 2638005 2826510 3286979 3517340 5276010 5653020 6573958 9860937 10552020 13147916 16434895 19721874 32869790 39443748 49304685 65739580 98609370 197218740 233375509 466751018 700126527 933502036 1166877545 1400253054 2333755090 2800506108 3500632635 4667510180 7001265270 14002530540