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114034043232 = 25321723997453
BaseRepresentation
bin110101000110011110…
…1010110100101100000
3101220100020011121100200
41222030331112211200
53332020203340412
6124215253145200
711144604242304
oct1521475264540
9356306147320
10114034043232
11443a827653a
121a12592b200
13a9a41aaa35
14573ac79d04
152e763449dc
hex1a8cf56960

114034043232 has 144 divisors (see below), whose sum is σ = 344800048320. Its totient is φ = 35625332736.

The previous prime is 114034043183. The next prime is 114034043237. The reversal of 114034043232 is 232340430411.

114034043232 is a `hidden beast` number, since 11 + 40 + 340 + 43 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 114034043196 and 114034043205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034043237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121418 + ... + 1218870.

It is an arithmetic number, because the mean of its divisors is an integer number (2394444780).

Almost surely, 2114034043232 is an apocalyptic number.

114034043232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114034043232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172400024160).

114034043232 is an abundant number, since it is smaller than the sum of its proper divisors (230766005088).

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

114034043232 is a wasteful number, since it uses less digits than its factorization.

114034043232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97725 (or 97714 counting only the distinct ones).

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

Adding to 114034043232 its reverse (232340430411), we get a palindrome (346374473643).

The spelling of 114034043232 in words is "one hundred fourteen billion, thirty-four million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 239 272 288 306 408 478 544 612 717 816 956 1224 1434 1632 1912 2151 2448 2868 3824 4063 4302 4896 5736 7648 8126 8604 11472 12189 16252 17208 22944 24378 32504 34416 36567 48756 65008 68832 73134 97453 97512 130016 146268 194906 195024 292359 292536 389812 390048 584718 585072 779624 877077 1169436 1170144 1559248 1656701 1754154 2338872 3118496 3313402 3508308 4677744 4970103 6626804 7016616 9355488 9940206 13253608 14033232 14910309 19880412 23291267 26507216 28066464 29820618 39760824 46582534 53014432 59641236 69873801 79521648 93165068 119282472 139747602 159043296 186330136 209621403 238564944 279495204 372660272 395951539 419242806 477129888 558990408 745320544 791903078 838485612 1117980816 1187854617 1583806156 1676971224 2235961632 2375709234 3167612312 3353942448 3563563851 4751418468 6335224624 6707884896 7127127702 9502836936 12670449248 14254255404 19005673872 28508510808 38011347744 57017021616 114034043232