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14899753440 = 25335111389271
BaseRepresentation
bin11011110000001100…
…00011000111100000
31102110101111220021000
431320012003013200
5221003314102230
610502253232000
71035141546255
oct157006030740
942411456230
1014899753440
116356582320
122a79a92600
131535b4a270
14a14bab42c
155c3111b60
hex3781831e0

14899753440 has 768 divisors, whose sum is σ = 62183116800. Its totient is φ = 3284582400.

The previous prime is 14899753439. The next prime is 14899753483. The reversal of 14899753440 is 4435799841.

14899753440 is a `hidden beast` number, since 1 + 48 + 99 + 75 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54980505 + ... + 54980775.

It is an arithmetic number, because the mean of its divisors is an integer number (80967600).

Almost surely, 214899753440 is an apocalyptic number.

14899753440 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 14899753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31091558400).

14899753440 is an abundant number, since it is smaller than the sum of its proper divisors (47283363360).

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

14899753440 is a wasteful number, since it uses less digits than its factorization.

14899753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14899753440 in words is "fourteen billion, eight hundred ninety-nine million, seven hundred fifty-three thousand, four hundred forty".