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1014042144 = 25312838233
BaseRepresentation
bin111100011100010…
…000111000100000
32121200002200022110
4330130100320200
54034043322034
6244342235320
734062134043
oct7434207040
92550080273
101014042144
11480444965
12243725b40
1313211584b
1498964c5a
155e056de9
hex3c710e20

1014042144 has 48 divisors (see below), whose sum is σ = 2664258912. Its totient is φ = 337709568.

The previous prime is 1014042143. The next prime is 1014042187. The reversal of 1014042144 is 4412404101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1014042144.

It is not an unprimeable number, because it can be changed into a prime (1014042143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119052 + ... + 127284.

It is an arithmetic number, because the mean of its divisors is an integer number (55505394).

Almost surely, 21014042144 is an apocalyptic number.

It is an amenable number.

1014042144 is an abundant number, since it is smaller than the sum of its proper divisors (1650216768).

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

1014042144 is a wasteful number, since it uses less digits than its factorization.

1014042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1014042144 is about 31844.0283883808. The cubic root of 1014042144 is about 1004.6589749101.

Adding to 1014042144 its reverse (4412404101), we get a palindrome (5426446245).

The spelling of 1014042144 in words is "one billion, fourteen million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1283 2566 3849 5132 7698 8233 10264 15396 16466 20528 24699 30792 32932 41056 49398 61584 65864 98796 123168 131728 197592 263456 395184 790368 10562939 21125878 31688817 42251756 63377634 84503512 126755268 169007024 253510536 338014048 507021072 1014042144