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112434242440 = 23513983219959
BaseRepresentation
bin110100010110110011…
…0100110001110001000
3101202012201212022020111
41220231212212032020
53320231131224230
6123352424004104
711060140202122
oct1505546461610
9352181768214
10112434242440
1143757220523
121995a000634
13a7aa914850
1456285d8212
152dd0b8492a
hex1a2d9a6388

112434242440 has 64 divisors (see below), whose sum is σ = 272715206400. Its totient is φ = 41471761152.

The previous prime is 112434242411. The next prime is 112434242497. The reversal of 112434242440 is 44242434211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401181 + ... + 621139.

It is an arithmetic number, because the mean of its divisors is an integer number (4261175100).

Almost surely, 2112434242440 is an apocalyptic number.

112434242440 is a gapful number since it is divisible by the number (10) 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 112434242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136357603200).

112434242440 is an abundant number, since it is smaller than the sum of its proper divisors (160280963960).

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

112434242440 is a wasteful number, since it uses less digits than its factorization.

112434242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220966 (or 220962 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 112434242440 its reverse (44242434211), we get a palindrome (156676676651).

The spelling of 112434242440 in words is "one hundred twelve billion, four hundred thirty-four million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 983 1966 3932 4915 7864 9830 12779 19660 25558 39320 51116 63895 102232 127790 219959 255580 439918 511160 879836 1099795 1759672 2199590 2859467 4399180 5718934 8798360 11437868 14297335 22875736 28594670 57189340 114378680 216219697 432439394 864878788 1081098485 1729757576 2162196970 2810856061 4324393940 5621712122 8648787880 11243424244 14054280305 22486848488 28108560610 56217121220 112434242440