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311142040 = 235113122811
BaseRepresentation
bin10010100010111…
…010011010011000
3210200110122122021
4102202322122120
51114123021130
650512504224
710465443436
oct2242723230
9720418567
10311142040
1114a6a4690
128824b074
134c5cc421
142d473d56
151c4b037a
hex128ba698

311142040 has 64 divisors (see below), whose sum is σ = 788382720. Its totient is φ = 109488000.

The previous prime is 311142031. The next prime is 311142047. The reversal of 311142040 is 40241113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311142047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 25045.

It is an arithmetic number, because the mean of its divisors is an integer number (12318480).

Almost surely, 2311142040 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 311142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394191360).

311142040 is an abundant number, since it is smaller than the sum of its proper divisors (477240680).

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

311142040 is a wasteful number, since it uses less digits than its factorization.

311142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22864 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 311142040 is about 17639.2188035638. The cubic root of 311142040 is about 677.6200247587.

Adding to 311142040 its reverse (40241113), we get a palindrome (351383153).

The spelling of 311142040 in words is "three hundred eleven million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 22811 45622 91244 114055 182488 228110 250921 456220 501842 707141 912440 1003684 1254605 1414282 2007368 2509210 2828564 3535705 5018420 5657128 7071410 7778551 10036840 14142820 15557102 28285640 31114204 38892755 62228408 77785510 155571020 311142040