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14179073040 = 243251117531987
BaseRepresentation
bin11010011010010001…
…10111110000010000
31100121011102112121100
431031020313300100
5213014320314130
610302550424400
71011241063236
oct151510676020
940534375540
1014179073040
116016798490
1228b8662100
13144c749b62
149871ac956
1557ec06c60
hex34d237c10

14179073040 has 480 divisors, whose sum is σ = 56068661376. Its totient is φ = 3172515840.

The previous prime is 14179072949. The next prime is 14179073053. The reversal of 14179073040 is 4037097141.

It is a super-2 number, since 2×141790730402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14179072986 and 14179073004.

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, 7134927 + ... + 7136913.

Almost surely, 214179073040 is an apocalyptic number.

14179073040 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 14179073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28034330688).

14179073040 is an abundant number, since it is smaller than the sum of its proper divisors (41889588336).

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

14179073040 is a wasteful number, since it uses less digits than its factorization.

14179073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 14179073040 in words is "fourteen billion, one hundred seventy-nine million, seventy-three thousand, forty".