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13412144400 = 2435211176787
BaseRepresentation
bin11000111110110110…
…10001010100010000
31021121201022112021220
430133123101110100
5204432002110100
610054512445040
7653236226544
oct143733212420
937551275256
1013412144400
115762895666
122723849780
1313598a5c25
149133b1a24
15537713aa0
hex31f6d1510

13412144400 has 60 divisors (see below), whose sum is σ = 42963573072. Its totient is φ = 3576571520.

The previous prime is 13412144387. The next prime is 13412144443. The reversal of 13412144400 is 444121431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5587194 + ... + 5589593.

Almost surely, 213412144400 is an apocalyptic number.

13412144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13412144400 is an abundant number, since it is smaller than the sum of its proper divisors (29551428672).

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

13412144400 is a wasteful number, since it uses less digits than its factorization.

13412144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11176808 (or 11176797 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13412144400 its reverse (444121431), we get a palindrome (13856265831).

The spelling of 13412144400 in words is "thirteen billion, four hundred twelve million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11176787 22353574 33530361 44707148 55883935 67060722 89414296 111767870 134121444 167651805 178828592 223535740 268242888 279419675 335303610 447071480 536485776 558839350 670607220 838259025 894142960 1117678700 1341214440 1676518050 2235357400 2682428880 3353036100 4470714800 6706072200 13412144400