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1045114112 = 2872325357
BaseRepresentation
bin111110010010110…
…010110100000000
32200211120022001002
4332102302310000
54120022122422
6251412231132
734620215630
oct7622626400
92624508032
101045114112
11496a37779
1225200b4a8
131386a4723
149cb326c0
1561b43692
hex3e4b2d00

1045114112 has 72 divisors (see below), whose sum is σ = 2487924096. Its totient is φ = 428414976.

The previous prime is 1045114073. The next prime is 1045114123. The reversal of 1045114112 is 2114115401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28538 + ... + 53894.

Almost surely, 21045114112 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 1045114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243962048).

1045114112 is an abundant number, since it is smaller than the sum of its proper divisors (1442809984).

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

1045114112 is an equidigital number, since it uses as much as digits as its factorization.

1045114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25403 (or 25389 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1045114112 is about 32328.2246960763. The cubic root of 1045114112 is about 1014.8173976477.

Adding to 1045114112 its reverse (2114115401), we get a palindrome (3159229513).

The spelling of 1045114112 in words is "one billion, forty-five million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2944 5152 5888 10304 20608 25357 41216 50714 101428 177499 202856 354998 405712 583211 709996 811424 1166422 1419992 1622848 2332844 2839984 3245696 4082477 4665688 5679968 6491392 8164954 9331376 11359936 16329908 18662752 22719872 32659816 37325504 45439744 65319632 74651008 130639264 149302016 261278528 522557056 1045114112