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13344055524 = 22323171168409
BaseRepresentation
bin11000110110101111…
…00010000011100100
31021102222012020220200
430123113202003210
5204312034234044
610044041230500
7651451412652
oct143327420344
937388166820
1013344055524
11572840a468
122704a92430
131348756257
14908329dd2
15531764369
hex31b5e20e4

13344055524 has 72 divisors (see below), whose sum is σ = 35309514240. Its totient is φ = 4243881600.

The previous prime is 13344055507. The next prime is 13344055561. The reversal of 13344055524 is 42555044331.

13344055524 is a `hidden beast` number, since 13 + 34 + 40 + 55 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4969 + ... + 163440.

It is an arithmetic number, because the mean of its divisors is an integer number (490409920).

Almost surely, 213344055524 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 13344055524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654757120).

13344055524 is an abundant number, since it is smaller than the sum of its proper divisors (21965458716).

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

13344055524 is a wasteful number, since it uses less digits than its factorization.

13344055524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168521 (or 168516 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 13344055524 its reverse (42555044331), we get a palindrome (55899099855).

The spelling of 13344055524 in words is "thirteen billion, three hundred forty-four million, fifty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1116 1278 2201 2556 4402 6603 8804 13206 19809 26412 39618 79236 168409 336818 505227 673636 1010454 1515681 2020908 3031362 5220679 6062724 10441358 11957039 15662037 20882716 23914078 31324074 35871117 46986111 47828156 62648148 71742234 93972222 107613351 143484468 187944444 215226702 370668209 430453404 741336418 1112004627 1482672836 2224009254 3336013881 4448018508 6672027762 13344055524