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13433040000 = 273554691
BaseRepresentation
bin11001000001010101…
…11110110010000000
31021200011122010200000
430200222332302000
5210002324240000
610100540400000
7653611645632
oct144052766200
937604563600
1013433040000
115773667856
12272a846000
131361010ba3
14916090a52
15539490000
hex320abec80

13433040000 has 480 divisors, whose sum is σ = 50164754640. Its totient is φ = 3576960000.

The previous prime is 13433039951. The next prime is 13433040113. The reversal of 13433040000 is 4033431.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439655 + ... + 19440345.

Almost surely, 213433040000 is an apocalyptic number.

13433040000 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 13433040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082377320).

13433040000 is an abundant number, since it is smaller than the sum of its proper divisors (36731714640).

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

13433040000 is an frugal number, since it uses more digits than its factorization.

13433040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13433040000 its reverse (4033431), we get a palindrome (13437073431).

The spelling of 13433040000 in words is "thirteen billion, four hundred thirty-three million, forty thousand".