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14027504040 = 233251123233661
BaseRepresentation
bin11010001000001101…
…01011100110101000
31100012121020001000200
431010012223212220
5212212020112130
610235534032200
71004420550144
oct150406534650
940177201020
1014027504040
115a49184450
122875948660
13142721ba64
14970dd6224
15571767760
hex3441ab9a8

14027504040 has 384 divisors, whose sum is σ = 52197799680. Its totient is φ = 3233894400.

The previous prime is 14027504039. The next prime is 14027504087. The reversal of 14027504040 is 4040572041.

It is a junction number, because it is equal to n+sod(n) for n = 14027503995 and 14027504013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21221310 + ... + 21221970.

It is an arithmetic number, because the mean of its divisors is an integer number (135931770).

Almost surely, 214027504040 is an apocalyptic number.

14027504040 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 14027504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098899840).

14027504040 is an abundant number, since it is smaller than the sum of its proper divisors (38170295640).

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

14027504040 is a wasteful number, since it uses less digits than its factorization.

14027504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 14027504040 in words is "fourteen billion, twenty-seven million, five hundred four thousand, forty".