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1214313444 = 223418012081
BaseRepresentation
bin100100001100000…
…1111001111100100
310010121221111220000
41020120033033210
54441331012234
6320254541300
742043331301
oct11030171744
93117844800
101214313444
115734a2733
1229a807830
13164766486
14b73b80a8
1571916899
hex4860f3e4

1214313444 has 60 divisors (see below), whose sum is σ = 3177744108. Its totient is φ = 404352000.

The previous prime is 1214313407. The next prime is 1214313449. The reversal of 1214313444 is 4443134121.

1214313444 is a `hidden beast` number, since 1 + 214 + 3 + 1 + 3 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 295496100 + 918817344 = 17190^2 + 30312^2 .

It is a super-2 number, since 2×12143134442 = 2949114280558282272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1214313449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 582484 + ... + 584564.

Almost surely, 21214313444 is an apocalyptic number.

It is an amenable number.

1214313444 is an abundant number, since it is smaller than the sum of its proper divisors (1963430664).

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

1214313444 is a wasteful number, since it uses less digits than its factorization.

1214313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3887 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1214313444 is about 34847.0005021953. Note that the first 3 decimals coincide. The cubic root of 1214313444 is about 1066.8669652936.

Adding to 1214313444 its reverse (4443134121), we get a palindrome (5657447565).

The spelling of 1214313444 in words is "one billion, two hundred fourteen million, three hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1801 2081 3602 4162 5403 6243 7204 8324 10806 12486 16209 18729 21612 24972 32418 37458 48627 56187 64836 74916 97254 112374 145881 168561 194508 224748 291762 337122 583524 674244 3747881 7495762 11243643 14991524 22487286 33730929 44974572 67461858 101192787 134923716 202385574 303578361 404771148 607156722 1214313444