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13754430256 = 247532317121
BaseRepresentation
bin11001100111101001…
…11111001100110000
31022111120101110012211
430303310333030300
5211132113232011
610152501101504
7664563504520
oct146364771460
938446343184
1013754430256
115919021036
1227ba3b7894
1313b278ab38
14946a31680
155577c6b21
hex333d3f330

13754430256 has 40 divisors (see below), whose sum is σ = 31030897824. Its totient is φ = 5783531520.

The previous prime is 13754430251. The next prime is 13754430293. The reversal of 13754430256 is 65203445731.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13754430251) by changing a digit.

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, 1152625 + ... + 1164496.

Almost surely, 213754430256 is an apocalyptic number.

13754430256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13754430256 is an abundant number, since it is smaller than the sum of its proper divisors (17276467568).

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

13754430256 is a wasteful number, since it uses less digits than its factorization.

13754430256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317189 (or 2317183 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

Adding to 13754430256 its reverse (65203445731), we get a palindrome (78957875987).

The spelling of 13754430256 in words is "thirteen billion, seven hundred fifty-four million, four hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 2317121 4634242 9268484 16219847 18536968 32439694 37073936 64879388 122807413 129758776 245614826 259517552 491229652 859651891 982459304 1719303782 1964918608 3438607564 6877215128 13754430256