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14942311488 = 2633133143499
BaseRepresentation
bin11011110101010000…
…11001010001000000
31102120100121001221000
431322220121101000
5221100212431423
610510413332000
71036166360226
oct157250312100
942510531830
1014942311488
1163785aa865
122a90197000
1315418cb240
14a1a6c8b16
155c6c1b843
hex37aa19440

14942311488 has 448 divisors, whose sum is σ = 50068480000. Its totient is φ = 4337141760.

The previous prime is 14942311477. The next prime is 14942311499. The reversal of 14942311488 is 88411324941.

14942311488 is a `hidden beast` number, since 149 + 4 + 23 + 1 + 1 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (14942311477) and next prime (14942311499).

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

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, 29944263 + ... + 29944761.

It is an arithmetic number, because the mean of its divisors is an integer number (111760000).

Almost surely, 214942311488 is an apocalyptic number.

14942311488 is a gapful number since it is divisible by the number (18) 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 14942311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034240000).

14942311488 is an abundant number, since it is smaller than the sum of its proper divisors (35126168512).

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

14942311488 is a wasteful number, since it uses less digits than its factorization.

14942311488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 14942311488 in words is "fourteen billion, nine hundred forty-two million, three hundred eleven thousand, four hundred eighty-eight".