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13941255936 = 28397187141
BaseRepresentation
bin11001111101111011…
…01010111100000000
31022222120221011212110
430332331222330000
5212022430142221
610223213255320
71002322502016
oct147675527400
938876834773
1013941255936
115a04525a23
122850a94540
1314123b178a
149637848b6
15568dcc776
hex33ef6af00

13941255936 has 72 divisors (see below), whose sum is σ = 37486788304. Its totient is φ = 4599152640.

The previous prime is 13941255917. The next prime is 13941255959. The reversal of 13941255936 is 63955214931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19075 + ... + 168066.

Almost surely, 213941255936 is an apocalyptic number.

13941255936 is a gapful number since it is divisible by the number (16) 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 13941255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743394152).

13941255936 is an abundant number, since it is smaller than the sum of its proper divisors (23545532368).

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

13941255936 is an equidigital number, since it uses as much as digits as its factorization.

13941255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187257 (or 187243 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The spelling of 13941255936 in words is "thirteen billion, nine hundred forty-one million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 582 768 776 1164 1552 2328 3104 4656 6208 9312 12416 18624 24832 37248 74496 187141 374282 561423 748564 1122846 1497128 2245692 2994256 4491384 5988512 8982768 11977024 17965536 18152677 23954048 35931072 36305354 47908096 54458031 71862144 72610708 108916062 143724288 145221416 217832124 290442832 435664248 580885664 871328496 1161771328 1742656992 2323542656 3485313984 4647085312 6970627968 13941255936