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1014356442 = 2311172321709
BaseRepresentation
bin111100011101011…
…101100111011010
32121200200122110010
4330131131213122
54034133401232
6244353102350
734064613261
oct7435354732
92550618403
101014356442
1148063a010
122438579b6
131321c5918
1498a075d8
155e0ba0cc
hex3c75d9da

1014356442 has 96 divisors (see below), whose sum is σ = 2451072960. Its totient is φ = 276559360.

The previous prime is 1014356437. The next prime is 1014356467. The reversal of 1014356442 is 2446534101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592684 + ... + 594392.

It is an arithmetic number, because the mean of its divisors is an integer number (25532010).

Almost surely, 21014356442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014356442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225536480).

1014356442 is an abundant number, since it is smaller than the sum of its proper divisors (1436716518).

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

1014356442 is a wasteful number, since it uses less digits than its factorization.

1014356442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1014356442 is about 31848.9629658487. The cubic root of 1014356442 is about 1004.7627607639.

The spelling of 1014356442 in words is "one billion, fourteen million, three hundred fifty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 506 529 561 759 782 1058 1122 1173 1518 1587 1709 2346 3174 3418 4301 5127 5819 8602 8993 10254 11638 12903 17457 17986 18799 25806 26979 29053 34914 37598 39307 53958 56397 58106 78614 87159 98923 112794 117921 174318 197846 235842 296769 319583 432377 593538 639166 668219 864754 904061 958749 1297131 1336438 1808122 1917498 2004657 2594262 2712183 4009314 5424366 7350409 9944671 14700818 15369037 19889342 22051227 29834013 30738074 44102454 46107111 59668026 92214222 169059407 338118814 507178221 1014356442