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1142140956 = 2231129329531
BaseRepresentation
bin100010000010011…
…1011000000011100
32221121010202211220
41010010323000130
54314342002311
6305200013340
740206016005
oct10404730034
92847122756
101142140956
11536788450
1227a601250
13152816b68
14ab98c1ac
156a40c206
hex4413b01c

1142140956 has 48 divisors (see below), whose sum is σ = 2917289088. Its totient is φ = 344910400.

The previous prime is 1142140943. The next prime is 1142140963. The reversal of 1142140956 is 6590412411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23911 + ... + 53441.

It is an arithmetic number, because the mean of its divisors is an integer number (60776856).

Almost surely, 21142140956 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 1142140956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458644544).

1142140956 is an abundant number, since it is smaller than the sum of its proper divisors (1775148132).

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

1142140956 is a wasteful number, since it uses less digits than its factorization.

1142140956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29842 (or 29840 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1142140956 is about 33795.5759826638. The cubic root of 1142140956 is about 1045.2974759587.

The spelling of 1142140956 in words is "one billion, one hundred forty-two million, one hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 3223 3516 6446 9669 12892 19338 29531 38676 59062 88593 118124 177186 324841 354372 649682 974523 1299364 1949046 3898092 8652583 17305166 25957749 34610332 51915498 95178413 103830996 190356826 285535239 380713652 571070478 1142140956