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112041422144 = 2631671635171
BaseRepresentation
bin110100001011000110…
…0000110110101000000
3101201012100200222002122
41220112030012311000
53313430101002034
6123245432303412
711044330242341
oct1502614066500
9351170628078
10112041422144
1143575509853
121986a541b68
13a7474181c2
1455cc3820c8
152dab43d62e
hex1a16306d40

112041422144 has 112 divisors (see below), whose sum is σ = 234403977216. Its totient is φ = 53066534400.

The previous prime is 112041422099. The next prime is 112041422149. The reversal of 112041422144 is 441224140211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112041422149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21664679 + ... + 21669849.

Almost surely, 2112041422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112041422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117201988608).

112041422144 is an abundant number, since it is smaller than the sum of its proper divisors (122362555072).

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

112041422144 is a wasteful number, since it uses less digits than its factorization.

112041422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 112041422144 its reverse (441224140211), we get a palindrome (553265562355).

The spelling of 112041422144 in words is "one hundred twelve billion, forty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 134 163 248 268 326 496 536 652 992 1072 1304 1984 2077 2144 2608 4154 4288 5053 5171 5216 8308 10106 10342 10432 10921 16616 20212 20684 21842 33232 40424 41368 43684 66464 80848 82736 87368 132928 160301 161696 165472 174736 320602 323392 330944 338551 346457 349472 641204 677102 692914 698944 842873 1282408 1354204 1385828 1685746 2564816 2708408 2771656 3371492 5129632 5416816 5543312 6742984 10259264 10740167 10833632 11086624 13485968 21480334 21667264 22173248 26129063 26971936 42960668 52258126 53943872 56472491 85921336 104516252 112944982 171842672 209032504 225889964 343685344 418065008 451779928 687370688 836130016 903559856 1672260032 1750647221 1807119712 3501294442 3614239424 7002588884 14005177768 28010355536 56020711072 112041422144