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313114140 = 223351015741
BaseRepresentation
bin10010101010011…
…011111000011100
3210211011211212000
4102222123320130
51120124123030
651023042300
710521266133
oct2252337034
9724154760
10313114140
11150821319
1288a40390
134cb3cc51
142d82891a
151c74e860
hex12a9be1c

313114140 has 96 divisors (see below), whose sum is σ = 983949120. Its totient is φ = 82656000.

The previous prime is 313114133. The next prime is 313114147. The reversal of 313114140 is 41411313.

It is an interprime number because it is at equal distance from previous prime (313114133) and next prime (313114147).

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 (313114147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51670 + ... + 57410.

It is an arithmetic number, because the mean of its divisors is an integer number (10249470).

Almost surely, 2313114140 is an apocalyptic number.

313114140 is a gapful number since it is divisible by the number (30) 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 313114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491974560).

313114140 is an abundant number, since it is smaller than the sum of its proper divisors (670834980).

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

313114140 is a wasteful number, since it uses less digits than its factorization.

313114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 313114140 is about 17695.0315060471. The cubic root of 313114140 is about 679.0486552372.

Adding to 313114140 its reverse (41411313), we get a palindrome (354525453).

It can be divided in two parts, 3131 and 14140, that added together give a palindrome (17271).

The spelling of 313114140 in words is "three hundred thirteen million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 5741 6060 9090 10908 11482 13635 17223 18180 22964 27270 28705 34446 51669 54540 57410 68892 86115 103338 114820 155007 172230 206676 258345 310014 344460 516690 579841 620028 775035 1033380 1159682 1550070 1739523 2319364 2899205 3100140 3479046 5218569 5798410 6958092 8697615 10437138 11596820 15655707 17395230 20874276 26092845 31311414 34790460 52185690 62622828 78278535 104371380 156557070 313114140