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114132313404 = 223273241118013
BaseRepresentation
bin110101001001011010…
…0001110010100111100
3101220121002002020200200
41222102310032110330
53332220333012104
6124233123323500
711150206441254
oct1522264162474
9356532066620
10114132313404
114444879635a
121a152820590
13a9bb667075
145749d3a964
152e7eca6b39
hex1a92d0e53c

114132313404 has 72 divisors (see below), whose sum is σ = 292590737712. Its totient is φ = 37505306880.

The previous prime is 114132313367. The next prime is 114132313423. The reversal of 114132313404 is 404313231411.

114132313404 is a `hidden beast` number, since 1 + 14 + 13 + 231 + 3 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6327102 + ... + 6345114.

It is an arithmetic number, because the mean of its divisors is an integer number (4063760246).

Almost surely, 2114132313404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114132313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146295368856).

114132313404 is an abundant number, since it is smaller than the sum of its proper divisors (178458424308).

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

114132313404 is a wasteful number, since it uses less digits than its factorization.

114132313404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20507 (or 20502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114132313404 its reverse (404313231411), we get a palindrome (518445544815).

The spelling of 114132313404 in words is "one hundred fourteen billion, one hundred thirty-two million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2411 2628 4822 7233 9644 14466 18013 21699 28932 36026 43398 54039 72052 86796 108078 162117 176003 216156 324234 352006 528009 648468 704012 1056018 1314949 1584027 2112036 2629898 3168054 3944847 5259796 6336108 7889694 11834541 15779388 23669082 43429343 47338164 86858686 130288029 173717372 260576058 390864087 521152116 781728174 1563456348 3170342039 6340684078 9511026117 12681368156 19022052234 28533078351 38044104468 57066156702 114132313404