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14133101344 = 253773163517
BaseRepresentation
bin11010010100110011…
…00000001100100000
31100110221220221021221
431022121200030200
5212421033220334
610254225224424
71010142244045
oct151231401440
940427827257
1014133101344
115aa284924a
1228a5192114
13144307217b
149810431cc
1557ab758b4
hex34a660320

14133101344 has 48 divisors (see below), whose sum is σ = 28968194808. Its totient is φ = 6781335552.

The previous prime is 14133101329. The next prime is 14133101347. The reversal of 14133101344 is 44310133141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14116291344 + 16810000 = 118812^2 + 4100^2 .

It is not an unprimeable number, because it can be changed into a prime (14133101347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4674 + ... + 168190.

Almost surely, 214133101344 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 14133101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484097404).

14133101344 is an abundant number, since it is smaller than the sum of its proper divisors (14835093464).

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

14133101344 is a wasteful number, since it uses less digits than its factorization.

14133101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163637 (or 163629 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 14133101344 its reverse (44310133141), we get a palindrome (58443234485).

The spelling of 14133101344 in words is "fourteen billion, one hundred thirty-three million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 43216 86432 163517 327034 654068 1308136 2616272 5232544 6050129 11936741 12100258 23873482 24200516 47746964 48401032 95493928 96802064 190987856 193604128 381975712 441659417 883318834 1766637668 3533275336 7066550672 14133101344