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114255142344040 = 23517168022268153
BaseRepresentation
bin11001111110101000011001…
…001011000101010101101000
3112222112200111022120111001011
4121332220121023011111220
5104433424012420002130
61043000030543433304
733031442636622265
oct3176503113052550
9488480438514034
10114255142344040
1133450374256215
12109934b3bb5834
134b9a2a16358a9
14202dd9aa0826c
15d32089ba952a
hex67ea192c5568

114255142344040 has 32 divisors (see below), whose sum is σ = 272196074409480. Its totient is φ = 43013700646912.

The previous prime is 114255142344017. The next prime is 114255142344059. The reversal of 114255142344040 is 40443241552411.

It can be written as a sum of positive squares in 4 ways, for example, as 100511973620356 + 13743168723684 = 10025566^2 + 3707178^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114255142343984 and 114255142344002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84011133397 + ... + 84011134756.

Almost surely, 2114255142344040 is an apocalyptic number.

114255142344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114255142344040 is an abundant number, since it is smaller than the sum of its proper divisors (157940932065440).

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

114255142344040 is a wasteful number, since it uses less digits than its factorization.

114255142344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168022268181 (or 168022268177 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 114255142344040 its reverse (40443241552411), we get a palindrome (154698383896451).

The spelling of 114255142344040 in words is "one hundred fourteen trillion, two hundred fifty-five billion, one hundred forty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 168022268153 336044536306 672089072612 840111340765 1344178145224 1680222681530 2856378558601 3360445363060 5712757117202 6720890726120 11425514234404 14281892793005 22851028468808 28563785586010 57127571172020 114255142344040