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140631312 = 24319413761
BaseRepresentation
bin10000110000111…
…01110100010000
3100210121210220010
420120131310100
5242000200222
621542114520
73325226553
oct1030356420
9323553803
10140631312
1172423428
123b11ba40
132319b7c3
141496a69a
15c52d80c
hex861dd10

140631312 has 80 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 43315200.

The previous prime is 140631311. The next prime is 140631319. The reversal of 140631312 is 213136041.

It is not an unprimeable number, because it can be changed into a prime (140631311) by changing a digit.

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, 35512 + ... + 39272.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2140631312 is an apocalyptic number.

140631312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

140631312 is an abundant number, since it is smaller than the sum of its proper divisors (251218608).

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

140631312 is a wasteful number, since it uses less digits than its factorization.

140631312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 140631312 is about 11858.8073599330. The cubic root of 140631312 is about 520.0287360845.

Adding to 140631312 its reverse (213136041), we get a palindrome (353767353).

The spelling of 140631312 in words is "one hundred forty million, six hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2337 3116 3761 4674 6232 7522 9348 11283 12464 15044 18696 22566 30088 37392 45132 60176 71459 90264 142918 154201 180528 214377 285836 308402 428754 462603 571672 616804 857508 925206 1143344 1233608 1715016 1850412 2467216 2929819 3430032 3700824 5859638 7401648 8789457 11719276 17578914 23438552 35157828 46877104 70315656 140631312