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14408731260 = 223257211148513
BaseRepresentation
bin11010110101101001…
…11100101001111100
31101012011120101110100
431122310330221330
5214002113400020
610341433041100
71020030123600
oct153264745174
941164511410
1014408731260
116124398070
122961556190
1314881b96b1
149a98b1500
15594e6da90
hex35ad3ca7c

14408731260 has 216 divisors, whose sum is σ = 55464632496. Its totient is φ = 2994001920.

The previous prime is 14408731247. The next prime is 14408731283. The reversal of 14408731260 is 6213780441.

It is a super-2 number, since 2×144087312602 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22764 + ... + 171276.

It is an arithmetic number, because the mean of its divisors is an integer number (256780706).

Almost surely, 214408731260 is an apocalyptic number.

14408731260 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 14408731260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732316248).

14408731260 is an abundant number, since it is smaller than the sum of its proper divisors (41055901236).

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

14408731260 is a wasteful number, since it uses less digits than its factorization.

14408731260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148553 (or 148541 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14408731260 in words is "fourteen billion, four hundred eight million, seven hundred thirty-one thousand, two hundred sixty".