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55144110231 = 337946130839
BaseRepresentation
bin110011010110110110…
…000101100010010111
312021100002101001021000
4303112312011202113
51400413343011411
641155521354343
73661344126450
oct632666054227
9167302331230
1055144110231
112142845a221
12a82b7989b3
13527a717732
1429519c6127
15167b2b5956
hexcd6d85897

55144110231 has 32 divisors (see below), whose sum is σ = 93378585600. Its totient is φ = 31506567840.

The previous prime is 55144110223. The next prime is 55144110271. The reversal of 55144110231 is 13201144155.

55144110231 is a `hidden beast` number, since 5 + 5 + 14 + 411 + 0 + 231 = 666.

It is not a de Polignac number, because 55144110231 - 23 = 55144110223 is a prime.

It is a super-2 number, since 2×551441102312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55144110195 and 55144110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55144110271) 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 31 ways as a sum of consecutive naturals, for example, 1772710 + ... + 1803548.

It is an arithmetic number, because the mean of its divisors is an integer number (2918080800).

Almost surely, 255144110231 is an apocalyptic number.

55144110231 is a deficient number, since it is larger than the sum of its proper divisors (38234475369).

55144110231 is a wasteful number, since it uses less digits than its factorization.

55144110231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40316 (or 40310 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 55144110231 its reverse (13201144155), we get a palindrome (68345254386).

The spelling of 55144110231 in words is "fifty-five billion, one hundred forty-four million, one hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 9461 28383 30839 66227 85149 92517 198681 215873 255447 277551 596043 647619 832653 1788129 1942857 5828571 291767779 875303337 2042374453 2625910011 6127123359 7877730033 18381370077 55144110231