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312140140 = 225133771457
BaseRepresentation
bin10010100110101…
…110000101101100
3210202100100202221
4102212232011230
51114401441030
650550125124
710510101364
oct2246560554
9722310687
10312140140
11150216564
12886507a4
134c88b810
142d6539a4
151c60ae7a
hex129ae16c

312140140 has 96 divisors (see below), whose sum is σ = 736815744. Its totient is φ = 110315520.

The previous prime is 312140123. The next prime is 312140141. The reversal of 312140140 is 41041213.

It is not an unprimeable number, because it can be changed into a prime (312140141) 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, 682792 + ... + 683248.

It is an arithmetic number, because the mean of its divisors is an integer number (7675164).

Almost surely, 2312140140 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 312140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368407872).

312140140 is an abundant number, since it is smaller than the sum of its proper divisors (424675604).

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

312140140 is a wasteful number, since it uses less digits than its factorization.

312140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

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

The square root of 312140140 is about 17667.4882198914. The cubic root of 312140140 is about 678.3438213453.

Adding to 312140140 its reverse (41041213), we get a palindrome (353181353).

The spelling of 312140140 in words is "three hundred twelve million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 71 74 130 142 148 185 260 284 355 370 457 481 710 740 914 923 962 1420 1828 1846 1924 2285 2405 2627 3692 4570 4615 4810 5254 5941 9140 9230 9620 10508 11882 13135 16909 18460 23764 26270 29705 32447 33818 34151 52540 59410 64894 67636 68302 84545 118820 129788 136604 162235 169090 170755 219817 324470 338180 341510 421811 439634 648940 683020 843622 879268 1099085 1200539 1687244 2109055 2198170 2401078 4218110 4396340 4802156 6002695 8436220 12005390 15607007 24010780 31214014 62428028 78035035 156070070 312140140