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3138342042 = 2311235967523
BaseRepresentation
bin1011101100001111…
…0100110010011010
322002201100021221110
42323003310302122
522411403421132
61235225321150
7140525316153
oct27303646232
98081307843
103138342042
11137056a910
127370361b6
133b0261034
1421ab3892a
151357be1cc
hexbb0f4c9a

3138342042 has 128 divisors (see below), whose sum is σ = 7388651520. Its totient is φ = 879215040.

The previous prime is 3138342041. The next prime is 3138342047. The reversal of 3138342042 is 2402438313.

It is not an unprimeable number, because it can be changed into a prime (3138342041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6000393 + ... + 6000915.

It is an arithmetic number, because the mean of its divisors is an integer number (57723840).

Almost surely, 23138342042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138342042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694325760).

3138342042 is an abundant number, since it is smaller than the sum of its proper divisors (4250309478).

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

3138342042 is a wasteful number, since it uses less digits than its factorization.

3138342042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3138342042 is about 56020.9071865139. The cubic root of 3138342042 is about 1464.0865746154.

The spelling of 3138342042 in words is "three billion, one hundred thirty-eight million, three hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 67 69 118 134 138 177 201 253 354 402 506 523 649 737 759 1046 1298 1357 1474 1518 1541 1569 1947 2211 2714 3082 3138 3894 3953 4071 4422 4623 5753 7906 8142 9246 11506 11859 12029 14927 16951 17259 23718 24058 29854 30857 33902 34518 35041 36087 43483 44781 50853 61714 70082 72174 86966 89562 90919 92571 101706 105123 130449 132319 181838 185142 210246 260898 264638 272757 339427 385451 396957 545514 678854 709711 770902 793914 805943 1000109 1018281 1156353 1419422 1611886 2000218 2036562 2067419 2129133 2312706 2417829 3000327 4134838 4258266 4835658 6000654 6202257 7806821 8865373 12404514 15613642 17730746 22741609 23420463 26596119 45483218 46840926 47550637 53192238 68224827 95101274 136449654 142651911 285303822 523057007 1046114014 1569171021 3138342042