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13453402400 = 255216816753
BaseRepresentation
bin11001000011110001…
…01010000100100000
31021201120221122121222
430201320222010200
5210023032334100
610102545034212
7654250014344
oct144170520440
937646848558
1013453402400
115784105389
122735625968
1313652c0249
14918a71624
1553b163485
hex321e2a120

13453402400 has 36 divisors (see below), whose sum is σ = 32843120562. Its totient is φ = 5381360640.

The previous prime is 13453402399. The next prime is 13453402423. The reversal of 13453402400 is 420435431.

It can be written as a sum of positive squares in 3 ways, for example, as 5770529296 + 7682873104 = 75964^2 + 87652^2 .

It is a super-2 number, since 2×134534024002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13453402400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8407577 + ... + 8409176.

Almost surely, 213453402400 is an apocalyptic number.

13453402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13453402400 is an abundant number, since it is smaller than the sum of its proper divisors (19389718162).

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

13453402400 is a wasteful number, since it uses less digits than its factorization.

13453402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816773 (or 16816760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 13453402400 its reverse (420435431), we get a palindrome (13873837831).

The spelling of 13453402400 in words is "thirteen billion, four hundred fifty-three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16816753 33633506 67267012 84083765 134534024 168167530 269068048 336335060 420418825 538136096 672670120 840837650 1345340240 1681675300 2690680480 3363350600 6726701200 13453402400