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14121281888 = 257106159417
BaseRepresentation
bin11010010011011000…
…11010100101100000
31100110010200110001022
431021230122211200
5212410022010023
610253124025012
71006636626020
oct151154324540
940403613038
1014121281888
115a971060aa
1228a1232168
1314407943cc
1497d647a80
15579add7c8
hex349b1a960

14121281888 has 48 divisors (see below), whose sum is σ = 31803365664. Its totient is φ = 6046172160.

The previous prime is 14121281887. The next prime is 14121281957. The reversal of 14121281888 is 88818212141.

It is a Cunningham number, because it is equal to 1188332-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121281887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207956 + ... + 267372.

It is an arithmetic number, because the mean of its divisors is an integer number (662570118).

Almost surely, 214121281888 is an apocalyptic number.

It is an amenable number.

14121281888 is an abundant number, since it is smaller than the sum of its proper divisors (17682083776).

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

14121281888 is a wasteful number, since it uses less digits than its factorization.

14121281888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60495 (or 60487 counting only the distinct ones).

The product of its digits is 65536, while the sum is 44.

The spelling of 14121281888 in words is "fourteen billion, one hundred twenty-one million, two hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1061 2122 4244 7427 8488 14854 16976 29708 33952 59416 59417 118832 118834 237664 237668 415919 475336 831838 950672 1663676 1901344 3327352 6654704 13309408 63041437 126082874 252165748 441290059 504331496 882580118 1008662992 1765160236 2017325984 3530320472 7060640944 14121281888