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145124230608 = 2435727110729
BaseRepresentation
bin1000011100101000010…
…1000000010111010000
3111212120221211202200000
42013022011000113100
54334203300334413
6150400311530000
713325212415100
oct2071205002720
9455527752600
10145124230608
1156601932475
1224161989900
13108ba399306
147049dcb200
153b95a17073
hex21ca1405d0

145124230608 has 360 divisors, whose sum is σ = 496901321280. Its totient is φ = 40876254720.

The previous prime is 145124230547. The next prime is 145124230613. The reversal of 145124230608 is 806032421541.

It is a happy number.

145124230608 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 42 + 3 + 0 + 608 = 666.

It is a super-2 number, since 2×1451242306082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13520988 + ... + 13531716.

It is an arithmetic number, because the mean of its divisors is an integer number (1380281448).

Almost surely, 2145124230608 is an apocalyptic number.

145124230608 is a gapful number since it is divisible by the number (18) 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 145124230608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248450660640).

145124230608 is an abundant number, since it is smaller than the sum of its proper divisors (351777090672).

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

145124230608 is a wasteful number, since it uses less digits than its factorization.

145124230608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145124230608 in words is "one hundred forty-five billion, one hundred twenty-four million, two hundred thirty thousand, six hundred eight".