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13350354440 = 235539764921
BaseRepresentation
bin11000110111011111…
…00011111000001000
31021110102001021101212
430123233203320020
5204320142320230
610044424232252
7651556066103
oct143357437010
937412037355
1013350354440
115730a21985
12270700b688
131349b50317
149090c973a
155320aa895
hex31bbe3e08

13350354440 has 64 divisors (see below), whose sum is σ = 30921050160. Its totient is φ = 5185290240.

The previous prime is 13350354401. The next prime is 13350354469. The reversal of 13350354440 is 4445305331.

It can be written as a sum of positive squares in 8 ways, for example, as 3032264356 + 10318090084 = 55066^2 + 101578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13350354397 and 13350354406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173180 + ... + 238100.

Almost surely, 213350354440 is an apocalyptic number.

13350354440 is a gapful number since it is divisible by the number (10) 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 13350354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460525080).

13350354440 is an abundant number, since it is smaller than the sum of its proper divisors (17570695720).

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

13350354440 is a wasteful number, since it uses less digits than its factorization.

13350354440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65082 (or 65078 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 13350354440 its reverse (4445305331), we get a palindrome (17795659771).

The spelling of 13350354440 in words is "thirteen billion, three hundred fifty million, three hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 97 106 194 212 265 388 424 485 530 776 970 1060 1940 2120 3880 5141 10282 20564 25705 41128 51410 64921 102820 129842 205640 259684 324605 519368 649210 1298420 2596840 3440813 6297337 6881626 12594674 13763252 17204065 25189348 27526504 31486685 34408130 50378696 62973370 68816260 125946740 137632520 251893480 333758861 667517722 1335035444 1668794305 2670070888 3337588610 6675177220 13350354440