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14124333144 = 23310315713637
BaseRepresentation
bin11010010011110000…
…00011100001011000
31100110100102110120210
431021320003201120
5212411312130034
610253313251120
71010004564555
oct151170034130
940410373523
1014124333144
115a988aa5a9
1228a2263aa0
1314412c219c
1497dbdda2c
15579ee28e9
hex349e03858

14124333144 has 64 divisors (see below), whose sum is σ = 35686160640. Its totient is φ = 4658152320.

The previous prime is 14124333137. The next prime is 14124333149. The reversal of 14124333144 is 44133342141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124333149) 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, 3881694 + ... + 3885330.

It is an arithmetic number, because the mean of its divisors is an integer number (557596260).

Almost surely, 214124333144 is an apocalyptic number.

It is an amenable number.

14124333144 is an abundant number, since it is smaller than the sum of its proper divisors (21561827496).

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

14124333144 is a wasteful number, since it uses less digits than its factorization.

14124333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5316 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 14124333144 its reverse (44133342141), we get a palindrome (58257675285).

The spelling of 14124333144 in words is "fourteen billion, one hundred twenty-four million, three hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 1571 2472 3142 3637 4713 6284 7274 9426 10911 12568 14548 18852 21822 29096 37704 43644 87288 161813 323626 374611 485439 647252 749222 970878 1123833 1294504 1498444 1941756 2247666 2996888 3883512 4495332 5713727 8990664 11427454 17141181 22854908 34282362 45709816 68564724 137129448 588513881 1177027762 1765541643 2354055524 3531083286 4708111048 7062166572 14124333144