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13404150000 = 2433559929
BaseRepresentation
bin11000111101111001…
…10001100011110000
31021121011021101001000
430132330301203300
5204422430300000
610054025242000
7653111252343
oct143674614360
937534241030
1013404150000
11575932531a
122721033300
131358037207
149122d045a
15536b85000
hex31ef318f0

13404150000 has 240 divisors, whose sum is σ = 48095359200. Its totient is φ = 3574080000.

The previous prime is 13404149999. The next prime is 13404150043. The reversal of 13404150000 is 5140431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345036 + ... + 1354964.

It is an arithmetic number, because the mean of its divisors is an integer number (200397330).

Almost surely, 213404150000 is an apocalyptic number.

13404150000 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 13404150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047679600).

13404150000 is an abundant number, since it is smaller than the sum of its proper divisors (34691209200).

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

13404150000 is an frugal number, since it uses more digits than its factorization.

13404150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13404150000 its reverse (5140431), we get a palindrome (13409290431).

It can be divided in two parts, 134041 and 50000, that added together give a square (184041 = 4292).

The spelling of 13404150000 in words is "thirteen billion, four hundred four million, one hundred fifty thousand".