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14087734080 = 2635717127971
BaseRepresentation
bin11010001111011000…
…11100001101000000
31100100210120001002220
431013230130031000
5212322424442310
610245525011040
71006051523010
oct150754341500
940323501086
1014087734080
115a7a182142
122891b53a80
131436849634
14978dd3c40
15576bb3670
hex347b1c340

14087734080 has 448 divisors, whose sum is σ = 54607675392. Its totient is φ = 3003678720.

The previous prime is 14087734079. The next prime is 14087734093. The reversal of 14087734080 is 8043778041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14507995 + ... + 14508965.

Almost surely, 214087734080 is an apocalyptic number.

14087734080 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 14087734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303837696).

14087734080 is an abundant number, since it is smaller than the sum of its proper divisors (40519941312).

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

14087734080 is a wasteful number, since it uses less digits than its factorization.

14087734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 14087734080 in words is "fourteen billion, eighty-seven million, seven hundred thirty-four thousand, eighty".