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140313312 = 25322112309
BaseRepresentation
bin10000101110100…
…00001011100000
3100210000122200100
420113100023200
5241410011222
621531222400
73322433466
oct1027201340
9323018610
10140313312
1172226517
123aba7a00
13230b9b39
14148c6836
15c4b94ac
hex85d02e0

140313312 has 72 divisors (see below), whose sum is σ = 401080680. Its totient is φ = 46529280.

The previous prime is 140313307. The next prime is 140313319. The reversal of 140313312 is 213313041.

140313312 is a `hidden beast` number, since 1 + 40 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140313319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59614 + ... + 61922.

It is an arithmetic number, because the mean of its divisors is an integer number (5570565).

Almost surely, 2140313312 is an apocalyptic number.

140313312 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 140313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200540340).

140313312 is an abundant number, since it is smaller than the sum of its proper divisors (260767368).

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

140313312 is a wasteful number, since it uses less digits than its factorization.

140313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 140313312 is about 11845.3920154632. The cubic root of 140313312 is about 519.6364717575.

Adding to 140313312 its reverse (213313041), we get a palindrome (353626353).

It can be divided in two parts, 140313 and 312, that added together give a square (140625 = 3752).

The spelling of 140313312 in words is "one hundred forty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2309 2532 3376 3798 4618 5064 6752 6927 7596 9236 10128 13854 15192 18472 20256 20781 27708 30384 36944 41562 55416 60768 73888 83124 110832 166248 221664 332496 487199 664992 974398 1461597 1948796 2923194 3897592 4384791 5846388 7795184 8769582 11692776 15590368 17539164 23385552 35078328 46771104 70156656 140313312