Search a number
-
+
1545234240000 = 2935411414383
BaseRepresentation
bin10110011111000111001…
…000110101001000000000
312110201112000211121122210
4112133013020311020000
5200304114431140000
63141512032302120
7216432226216203
oct26370710651000
95421460747583
101545234240000
1154636a498410
1220b5879a1940
13b293aa0c8a9
1454b0b07193a
152a2dd657350
hex167c7235200

1545234240000 has 1600 divisors, whose sum is σ = 5953181971968. Its totient is φ = 352665600000.

The previous prime is 1545234239981. The next prime is 1545234240001. The reversal of 1545234240000 is 424325451.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1545234240000.

It is not an unprimeable number, because it can be changed into a prime (1545234240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18617279959 + ... + 18617280041.

Almost surely, 21545234240000 is an apocalyptic number.

1545234240000 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 1545234240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976590985984).

1545234240000 is an abundant number, since it is smaller than the sum of its proper divisors (4407947731968).

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

1545234240000 is an equidigital number, since it uses as much as digits as its factorization.

1545234240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1545234240000 its reverse (424325451), we get a palindrome (1545658565451).

The spelling of 1545234240000 in words is "one trillion, five hundred forty-five billion, two hundred thirty-four million, two hundred forty thousand".