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13431334356 = 22331147923603
BaseRepresentation
bin11001000001001000…
…11110010111010100
31021200001102110222000
430200210132113110
5210001410144411
610100440035300
7653561313126
oct144044362724
937601373860
1013431334356
115772702330
12272a162b30
13136086472b
14915b69216
15539254956
hex32091e5d4

13431334356 has 96 divisors (see below), whose sum is σ = 38068531200. Its totient is φ = 4061432160.

The previous prime is 13431334339. The next prime is 13431334363. The reversal of 13431334356 is 65343313431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13431334356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557251 + ... + 580853.

It is an arithmetic number, because the mean of its divisors is an integer number (396547200).

Almost surely, 213431334356 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 13431334356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034265600).

13431334356 is an abundant number, since it is smaller than the sum of its proper divisors (24637196844).

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

13431334356 is a wasteful number, since it uses less digits than its factorization.

13431334356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24106 (or 24098 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 13431334356 its reverse (65343313431), we get a palindrome (78774647787).

The spelling of 13431334356 in words is "thirteen billion, four hundred thirty-one million, three hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 479 594 958 1188 1437 1916 2874 4311 5269 5748 8622 10538 12933 15807 17244 21076 23603 25866 31614 47206 47421 51732 63228 70809 94412 94842 141618 142263 189684 212427 259633 283236 284526 424854 519266 569052 637281 778899 849708 1038532 1274562 1557798 2336697 2549124 3115596 4673394 7010091 9346788 11305837 14020182 22611674 28040364 33917511 45223348 67835022 101752533 124364207 135670044 203505066 248728414 305257599 373092621 407010132 497456828 610515198 746185242 1119277863 1221030396 1492370484 2238555726 3357833589 4477111452 6715667178 13431334356