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13340364048 = 24321119742751
BaseRepresentation
bin11000110110010010…
…11100110100010000
31021102201020201011100
430123021130310100
5204310113122143
610043430144400
7651405136434
oct143311346420
937381221140
1013340364048
115726318a60
1227037b2100
131347a62c4b
14907a489c4
155312856d3
hex31b25cd10

13340364048 has 120 divisors (see below), whose sum is σ = 40936237056. Its totient is φ = 4021920000.

The previous prime is 13340364031. The next prime is 13340364061. The reversal of 13340364048 is 84046304331.

It is a happy number.

13340364048 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 3 + 640 + 4 + 8 = 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, 290673 + ... + 333423.

Almost surely, 213340364048 is an apocalyptic number.

13340364048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468118528).

13340364048 is an abundant number, since it is smaller than the sum of its proper divisors (27595873008).

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

13340364048 is a wasteful number, since it uses less digits than its factorization.

13340364048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42973 (or 42964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13340364048 its reverse (84046304331), we get a palindrome (97386668379).

The spelling of 13340364048 in words is "thirteen billion, three hundred forty million, three hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 197 198 264 394 396 528 591 788 792 1182 1576 1584 1773 2167 2364 3152 3546 4334 4728 6501 7092 8668 9456 13002 14184 17336 19503 26004 28368 34672 39006 42751 52008 78012 85502 104016 128253 156024 171004 256506 312048 342008 384759 470261 513012 684016 769518 940522 1026024 1410783 1539036 1881044 2052048 2821566 3078072 3762088 4232349 5643132 6156144 7524176 8421947 8464698 11286264 16843894 16929396 22572528 25265841 33687788 33858792 50531682 67375576 67717584 75797523 92641417 101063364 134751152 151595046 185282834 202126728 277924251 303190092 370565668 404253456 555848502 606380184 741131336 833772753 1111697004 1212760368 1482262672 1667545506 2223394008 3335091012 4446788016 6670182024 13340364048