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313111204440 = 23354755516171
BaseRepresentation
bin1001000111001101110…
…00011101001001011000
31002221012020222020000120
410203212320131021120
520112222432020230
6355501415433240
731423121216226
oct4434670351130
91087166866016
10313111204440
11110876126251
1250824385820
13236ac267c48
1411224577b16
15822877a310
hex48e6e1d258

313111204440 has 64 divisors (see below), whose sum is σ = 959319452160. Its totient is φ = 81719802240.

The previous prime is 313111204429. The next prime is 313111204447. The reversal of 313111204440 is 44402111313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313111204440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313111204447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27752446 + ... + 27763725.

It is an arithmetic number, because the mean of its divisors is an integer number (14989366440).

Almost surely, 2313111204440 is an apocalyptic number.

313111204440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313111204440 is an abundant number, since it is smaller than the sum of its proper divisors (646208247720).

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

313111204440 is a wasteful number, since it uses less digits than its factorization.

313111204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55516232 (or 55516228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 313111204440 its reverse (44402111313), we get a palindrome (357513315753).

The spelling of 313111204440 in words is "three hundred thirteen billion, one hundred eleven million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 55516171 111032342 166548513 222064684 277580855 333097026 444129368 555161710 666194052 832742565 1110323420 1332388104 1665485130 2220646840 2609260037 3330970260 5218520074 6661940520 7827780111 10437040148 13046300185 15655560222 20874080296 26092600370 31311120444 39138900555 52185200740 62622240888 78277801110 104370401480 156555602220 313111204440