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14999814144 = 2163372173
BaseRepresentation
bin11011111100000111…
…10000000000000000
31102201100210111202000
431332003300000000
5221204423023034
610520230024000
71040465213400
oct157603600000
942640714660
1014999814144
1163a8005417
122aa74a8000
1315507b2593
14a241b6800
155cbcc9599
hex37e0f0000

14999814144 has 408 divisors, whose sum is σ = 51998487120. Its totient is φ = 4260888576.

The previous prime is 14999814139. The next prime is 14999814161. The reversal of 14999814144 is 44141899941.

14999814144 is a `hidden beast` number, since 1 + 499 + 9 + 8 + 1 + 4 + 144 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86704042 + ... + 86704214.

Almost surely, 214999814144 is an apocalyptic number.

14999814144 is a gapful number since it is divisible by the number (14) 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 14999814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999243560).

14999814144 is an abundant number, since it is smaller than the sum of its proper divisors (36998672976).

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

14999814144 is an frugal number, since it uses more digits than its factorization.

14999814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 14999814144 in words is "fourteen billion, nine hundred ninety-nine million, eight hundred fourteen thousand, one hundred forty-four".