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13941143424 = 2732133130029
BaseRepresentation
bin11001111101111010…
…01111011110000000
31022222120201110112100
430332331033132000
5212022413042144
610223211030400
71002321523005
oct147675173600
938876643470
1013941143424
115a0445943a
122850a3b400
1314123724c0
149637558ac
15568da9269
hex33ef4f780

13941143424 has 192 divisors, whose sum is σ = 44598153600. Its totient is φ = 4151070720.

The previous prime is 13941143417. The next prime is 13941143497. The reversal of 13941143424 is 42434114931.

13941143424 is a `hidden beast` number, since 1 + 3 + 94 + 1 + 143 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 449242 + ... + 479270.

It is an arithmetic number, because the mean of its divisors is an integer number (232282050).

Almost surely, 213941143424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13941143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299076800).

13941143424 is an abundant number, since it is smaller than the sum of its proper divisors (30657010176).

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

13941143424 is a wasteful number, since it uses less digits than its factorization.

13941143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30093 (or 30078 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13941143424 in words is "thirteen billion, nine hundred forty-one million, one hundred forty-three thousand, four hundred twenty-four".