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14540681381888 = 21129244825589
BaseRepresentation
bin1101001110011000010000…
…1001100000100000000000
31220111002001002022222201202
43103212010021200200000
53401213303413210023
650531521413320332
73030346432310024
oct323460411404000
956432032288652
1014540681381888
1146a6739624452
12176a0b89360a8
1381624637520c
14383ab654c384
151a338325e128
hexd3984260800

14540681381888 has 48 divisors (see below), whose sum is σ = 30076823731500. Its totient is φ = 7019639259136.

The previous prime is 14540681381867. The next prime is 14540681381953. The reversal of 14540681381888 is 88818318604541.

It can be written as a sum of positive squares in 2 ways, for example, as 14527928648704 + 12752733184 = 3811552^2 + 112928^2 .

It is a super-2 number, since 2×145406813818882 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122353403 + ... + 122472186.

Almost surely, 214540681381888 is an apocalyptic number.

It is an amenable number.

14540681381888 is an abundant number, since it is smaller than the sum of its proper divisors (15536142349612).

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

14540681381888 is an equidigital number, since it uses as much as digits as its factorization.

14540681381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244825640 (or 244825620 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 65.

The spelling of 14540681381888 in words is "fourteen trillion, five hundred forty billion, six hundred eighty-one million, three hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 7424 14848 29696 59392 244825589 489651178 979302356 1958604712 3917209424 7099942081 7834418848 14199884162 15668837696 28399768324 31337675392 56799536648 62675350784 113599073296 125350701568 227198146592 250701403136 454396293184 501402806272 908792586368 1817585172736 3635170345472 7270340690944 14540681381888