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145200000000 = 210358112
BaseRepresentation
bin1000011100111010011…
…0000010110000000000
3111212210020102020201210
42013032212002300000
54334332200000000
6150412015530120
713330122431106
oct2071646026000
9455706366653
10145200000000
1156640684100
1224183229940
13108ccca7b83
1470560b1c76
153b9c4d2350
hex21ce982c00

145200000000 has 594 divisors, whose sum is σ = 531739962124. Its totient is φ = 35200000000.

The previous prime is 145199999969. The next prime is 145200000061. The reversal of 145200000000 is 2541.

145200000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (12) 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 (12).

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 53 ways as a sum of consecutive naturals, for example, 13199999995 + ... + 13200000005.

Almost surely, 2145200000000 is an apocalyptic number.

145200000000 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 145200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265869981062).

145200000000 is an abundant number, since it is smaller than the sum of its proper divisors (386539962124).

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

145200000000 is an frugal number, since it uses more digits than its factorization.

145200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Multiplying 145200000000 by its sum of digits (12), we get a square (1742400000000 = 13200002).

145200000000 divided by its sum of digits (12) gives a square (12100000000 = 1100002).

Adding to 145200000000 its reverse (2541), we get a palindrome (145200002541).

The spelling of 145200000000 in words is "one hundred forty-five billion, two hundred million", and thus it is an aban number.