Search a number
-
+
45042117120000 = 212345472111331
BaseRepresentation
bin10100011110111001011110…
…11001000001000000000000
312220110222120120211111220000
422033130233121001000000
521400432223440320000
6235444021332520000
712326120436316200
oct1217345731010000
9186428516744800
1045042117120000
1113396288961220
125075569a80000
131c195b82146c0
14b1a09b694400
155319aec20000
hex28f72f641000

45042117120000 has 7800 divisors, whose sum is σ = 237196046368512. Its totient is φ = 8360755200000.

The previous prime is 45042117119971. The next prime is 45042117120001. The reversal of 45042117120000 is 2171124054.

45042117120000 is a `hidden beast` number, since 4 + 50 + 421 + 171 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7800).

It is a super-3 number, since 3×450421171200003 (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45042117120001) by changing a digit.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1452971519985 + ... + 1452971520015.

Almost surely, 245042117120000 is an apocalyptic number.

45042117120000 is a gapful number since it is divisible by the number (40) 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 45042117120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118598023184256).

45042117120000 is an abundant number, since it is smaller than the sum of its proper divisors (192153929248512).

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

45042117120000 is a wasteful number, since it uses less digits than its factorization.

45042117120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 45042117120000 its reverse (2171124054), we get a palindrome (45044288244054).

The spelling of 45042117120000 in words is "forty-five trillion, forty-two billion, one hundred seventeen million, one hundred twenty thousand".