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114014413044 = 22327264634021
BaseRepresentation
bin110101000101111001…
…0011110000011110100
3101220021212020021210200
41222023302132003310
53332000142204134
6124213312320500
711144245343400
oct1521362360364
9356255207720
10114014413044
1144398189044
121a11b243130
13a9a00c6a3c
14573840a100
152e74768499
hex1a8bc9e0f4

114014413044 has 54 divisors (see below), whose sum is σ = 335256672114. Its totient is φ = 32575546080.

The previous prime is 114014413033. The next prime is 114014413067. The reversal of 114014413044 is 440314410411.

It can be written as a sum of positive squares in only one way, i.e., 89274268944 + 24740144100 = 298788^2 + 157290^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114014412999 and 114014413017.

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 17 ways as a sum of consecutive naturals, for example, 32315247 + ... + 32318774.

It is an arithmetic number, because the mean of its divisors is an integer number (6208456891).

Almost surely, 2114014413044 is an apocalyptic number.

114014413044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114014413044 is an abundant number, since it is smaller than the sum of its proper divisors (221242259070).

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

114014413044 is a wasteful number, since it uses less digits than its factorization.

114014413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64634045 (or 64634033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114014413044 its reverse (440314410411), we get a palindrome (554328823455).

The spelling of 114014413044 in words is "one hundred fourteen billion, fourteen million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 64634021 129268042 193902063 258536084 387804126 452438147 581706189 775608252 904876294 1163412378 1357314441 1809752588 2326824756 2714628882 3167067029 4071943323 5429257764 6334134058 8143886646 9501201087 12668268116 16287773292 19002402174 28503603261 38004804348 57007206522 114014413044