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12214131444 = 22321034332803
BaseRepresentation
bin10110110000000010…
…01101101011110100
31011112020001011110200
423120001031223310
5200003304201234
65335555120500
7611451255444
oct133001155364
934466034420
1012214131444
1151a8616809
12244a5a3130
1311c8629018
1483c23c124
154b746bd99
hex2d804daf4

12214131444 has 36 divisors (see below), whose sum is σ = 30878536416. Its totient is φ = 4070859408.

The previous prime is 12214131431. The next prime is 12214131509. The reversal of 12214131444 is 44413141221.

12214131444 is a `hidden beast` number, since 1 + 2 + 214 + 1 + 3 + 1 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355947 + ... + 388749.

Almost surely, 212214131444 is an apocalyptic number.

It is an amenable number.

12214131444 is an abundant number, since it is smaller than the sum of its proper divisors (18664404972).

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

12214131444 is a wasteful number, since it uses less digits than its factorization.

12214131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43156 (or 43151 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12214131444 its reverse (44413141221), we get a palindrome (56627272665).

The spelling of 12214131444 in words is "twelve billion, two hundred fourteen million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10343 20686 31029 32803 41372 62058 65606 93087 98409 124116 131212 186174 196818 295227 372348 393636 590454 1180908 339281429 678562858 1017844287 1357125716 2035688574 3053532861 4071377148 6107065722 12214131444