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1325325145140 = 22325417179101317
BaseRepresentation
bin10011010010010011100…
…010001101010000110100
311200200220012002010022200
4103102103202031100310
5133203231214121030
62452502421224500
7164515535600643
oct23222342152064
94620805063280
101325325145140
11471081547607
12194a34862130
1397c92ac3a19
1448208bad35a
152471c421d60
hex1349388d434

1325325145140 has 576 divisors, whose sum is σ = 4284416747520. Its totient is φ = 331269120000.

The previous prime is 1325325145031. The next prime is 1325325145163. The reversal of 1325325145140 is 415415235231.

1325325145140 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 2 + 514 + 51 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1325325145095 and 1325325145104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4180836262 + ... + 4180836578.

It is an arithmetic number, because the mean of its divisors is an integer number (7438223520).

Almost surely, 21325325145140 is an apocalyptic number.

1325325145140 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 1325325145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142208373760).

1325325145140 is an abundant number, since it is smaller than the sum of its proper divisors (2959091602380).

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

1325325145140 is a wasteful number, since it uses less digits than its factorization.

1325325145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Subtracting from 1325325145140 its reverse (415415235231), we obtain a palindrome (909909909909).

The spelling of 1325325145140 in words is "one trillion, three hundred twenty-five billion, three hundred twenty-five million, one hundred forty-five thousand, one hundred forty".