Search a number
-
+
113434024032 = 2532756266877
BaseRepresentation
bin110100110100100110…
…0011101100001100000
3101211210102010110202100
41221221030131201200
53324303102232112
6124035540450400
711124000203220
oct1515114354140
9354712113670
10113434024032
114411a6051aa
1219b989a9a00
13a909aa64a4
1456c12ca080
152e3d8212dc
hex1a6931d860

113434024032 has 72 divisors (see below), whose sum is σ = 368660584656. Its totient is φ = 32409720576.

The previous prime is 113434024019. The next prime is 113434024057. The reversal of 113434024032 is 230420434311.

113434024032 is a `hidden beast` number, since 11 + 343 + 40 + 240 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 113434023987 and 113434024005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28131423 + ... + 28135454.

It is an arithmetic number, because the mean of its divisors is an integer number (5120285898).

Almost surely, 2113434024032 is an apocalyptic number.

113434024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113434024032 is an abundant number, since it is smaller than the sum of its proper divisors (255226560624).

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

113434024032 is a wasteful number, since it uses less digits than its factorization.

113434024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56266900 (or 56266889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113434024032 its reverse (230420434311), we get a palindrome (343854458343).

The spelling of 113434024032 in words is "one hundred thirteen billion, four hundred thirty-four million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 56266877 112533754 168800631 225067508 337601262 393868139 450135016 506401893 675202524 787736278 900270032 1012803786 1181604417 1350405048 1575472556 1800540064 2025607572 2363208834 2700810096 3150945112 3544813251 4051215144 4726417668 5401620192 6301890224 7089626502 8102430288 9452835336 12603780448 14179253004 16204860576 18905670672 28358506008 37811341344 56717012016 113434024032