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45350225430000 = 2435419197403867
BaseRepresentation
bin10100100111110111011000…
…00100111100010111110000
312221120102212011222100220220
422103323230010330113300
521421004230202230000
6240241334515133040
712360305601614361
oct1223735404742760
9187512764870826
1045350225430000
11134a4a16a82867
1251052168a4180
131c3c67ab4947a
14b2ad69615b68
155399e41711a0
hex293eec13c5f0

45350225430000 has 400 divisors, whose sum is σ = 154884282664320. Its totient is φ = 11398713984000.

The previous prime is 45350225429933. The next prime is 45350225430017. The reversal of 45350225430000 is 3452205354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112088067 + ... + 112491933.

Almost surely, 245350225430000 is an apocalyptic number.

45350225430000 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 45350225430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77442141332160).

45350225430000 is an abundant number, since it is smaller than the sum of its proper divisors (109534057234320).

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

45350225430000 is a wasteful number, since it uses less digits than its factorization.

45350225430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404114 (or 404093 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 45350225430000 its reverse (3452205354), we get a palindrome (45353677635354).

The spelling of 45350225430000 in words is "forty-five trillion, three hundred fifty billion, two hundred twenty-five million, four hundred thirty thousand".