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3112553142 = 234591372377
BaseRepresentation
bin1011100110000101…
…1100101010110110
322000220211002020000
42321201130222312
522333303200032
61232504452130
7140063156646
oct27141345266
98026732200
103112553142
111357a56276
1272a47a046
133a7b01a2a
14217544526
151333c7e7c
hexb985cab6

3112553142 has 80 divisors (see below), whose sum is σ = 7147411920. Its totient is φ = 1012061952.

The previous prime is 3112553141. The next prime is 3112553161. The reversal of 3112553142 is 2413552113.

3112553142 is a `hidden beast` number, since 3 + 1 + 125 + 531 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112553141) 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 39 ways as a sum of consecutive naturals, for example, 1308258 + ... + 1310634.

It is an arithmetic number, because the mean of its divisors is an integer number (89342649).

Almost surely, 23112553142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112553142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573705960).

3112553142 is an abundant number, since it is smaller than the sum of its proper divisors (4034858778).

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

3112553142 is a wasteful number, since it uses less digits than its factorization.

3112553142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2578 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3112553142 is about 55790.2602790129. The cubic root of 3112553142 is about 1460.0652285238.

The spelling of 3112553142 in words is "three billion, one hundred twelve million, five hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 137 162 177 274 354 411 531 822 1062 1233 1593 2377 2466 3186 3699 4754 4779 7131 7398 8083 9558 11097 14262 16166 21393 22194 24249 42786 48498 64179 72747 128358 140243 145494 192537 218241 280486 325649 385074 420729 436482 651298 654723 841458 976947 1262187 1309446 1953894 2524374 2930841 3786561 5861682 7573122 8792523 11359683 17585046 19213291 22719366 26377569 38426582 52755138 57639873 115279746 172919619 345839238 518758857 1037517714 1556276571 3112553142