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114242342256 = 24327113335657
BaseRepresentation
bin110101001100101011…
…1111100110101110000
3101220212202010021220100
41222121113330311300
53332432014423011
6124252053512400
711153013613140
oct1523127746560
9356782107810
10114242342256
11444a4907699
121a183642700
13aa083ac5b3
14575a7bc920
152e8978cd56
hex1a995fcd70

114242342256 has 60 divisors (see below), whose sum is σ = 365394161392. Its totient is φ = 32640668928.

The previous prime is 114242342237. The next prime is 114242342273. The reversal of 114242342256 is 652243242411.

114242342256 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 423 + 4 + 225 + 6 = 666.

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 114242342256.

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, 56666821 + ... + 56668836.

Almost surely, 2114242342256 is an apocalyptic number.

114242342256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114242342256 is an abundant number, since it is smaller than the sum of its proper divisors (251151819136).

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

114242342256 is a wasteful number, since it uses less digits than its factorization.

114242342256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113335678 (or 113335669 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 114242342256 its reverse (652243242411), we get a palindrome (766485584667).

The spelling of 114242342256 in words is "one hundred fourteen billion, two hundred forty-two million, three hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 113335657 226671314 340006971 453342628 680013942 793349599 906685256 1020020913 1360027884 1586699198 1813370512 2040041826 2380048797 2720055768 3173398396 4080083652 4760097594 5440111536 6346796792 7140146391 8160167304 9520195188 12693593584 14280292782 16320334608 19040390376 28560585564 38080780752 57121171128 114242342256