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145323202530000 = 24354112319146667
BaseRepresentation
bin100001000010101110110001…
…110111010100101011010000
3201001112202120211221100021110
4201002232301313110223100
5123021433404321430000
61233024320235253320
742416153301155625
oct4102566167245320
9631482524840243
10145323202530000
1142339251295230
121437073a5aa240
136311bc4624451
1427c597554434c
1511c02cb385850
hex842bb1dd4ad0

145323202530000 has 400 divisors, whose sum is σ = 534021095748096. Its totient is φ = 33698132160000.

The previous prime is 145323202529969. The next prime is 145323202530007. The reversal of 145323202530000 is 35202323541.

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

It is a super-2 number, since 2×1453232025300002 (a number of 29 digits) contains 22 as substring.

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 145323202530000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145323202530007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1983334 + ... + 17163333.

Almost surely, 2145323202530000 is an apocalyptic number.

145323202530000 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 145323202530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267010547874048).

145323202530000 is an abundant number, since it is smaller than the sum of its proper divisors (388697893218096).

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

145323202530000 is a wasteful number, since it uses less digits than its factorization.

145323202530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19146732 (or 19146711 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 145323202530000 its reverse (35202323541), we get a palindrome (145358404853541).

The spelling of 145323202530000 in words is "one hundred forty-five trillion, three hundred twenty-three billion, two hundred two million, five hundred thirty thousand".