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13944420204 = 2231113172953311
BaseRepresentation
bin11001111110010011…
…01111011101101100
31022222210212221102120
430333021233131230
5212024232421304
610223405152540
71002361421211
oct147711573554
938883787376
1013944420204
115a06297320
122851b5b750
131412c4bb20
14963d69b08
155693050d9
hex33f26f76c

13944420204 has 384 divisors, whose sum is σ = 42796615680. Its totient is φ = 3466444800.

The previous prime is 13944420157. The next prime is 13944420239. The reversal of 13944420204 is 40202444931.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 44837209 + ... + 44837519.

It is an arithmetic number, because the mean of its divisors is an integer number (111449520).

Almost surely, 213944420204 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 13944420204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

13944420204 is an abundant number, since it is smaller than the sum of its proper divisors (28852195476).

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

13944420204 is a wasteful number, since it uses less digits than its factorization.

13944420204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13944420204 in words is "thirteen billion, nine hundred forty-four million, four hundred twenty thousand, two hundred four".