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114001633476 = 22327343379617
BaseRepresentation
bin110101000101100000…
…1101110000011000100
3101220020222012000112100
41222023001232003010
53331433404232401
6124212134352100
711144031616233
oct1521301560304
9356228160470
10114001633476
1144390a4a615
121a116abb630
13a99a570c73
145736840b1a
152e73591b86
hex1a8b06e0c4

114001633476 has 36 divisors (see below), whose sum is σ = 292118347612. Its totient is φ = 37479988224.

The previous prime is 114001633433. The next prime is 114001633477. The reversal of 114001633476 is 674336100411.

114001633476 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 1 + 633 + 4 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55884960000 + 58116673476 = 236400^2 + 241074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114001633476.

It is not an unprimeable number, because it can be changed into a prime (114001633477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21687181 + ... + 21692436.

Almost surely, 2114001633476 is an apocalyptic number.

It is an amenable number.

114001633476 is an abundant number, since it is smaller than the sum of its proper divisors (178116714136).

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

114001633476 is a wasteful number, since it uses less digits than its factorization.

114001633476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43379700 (or 43379695 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 114001633476 its reverse (674336100411), we get a palindrome (788337733887).

The spelling of 114001633476 in words is "one hundred fourteen billion, one million, six hundred thirty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 43379617 86759234 130138851 173518468 260277702 390416553 520555404 780833106 1561666212 3166712041 6333424082 9500136123 12666848164 19000272246 28500408369 38000544492 57000816738 114001633476