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141344325000 = 23335519103107
BaseRepresentation
bin1000001110100011000…
…1110011110110001000
3111111211112021122222000
42003220301303312020
54303433121400000
6144533243231000
713132433640114
oct2035061636610
9444745248860
10141344325000
1154a4220643a
1223487b18460
1310437249288
146babdaa744
153a23c6a000
hex20e8c73d88

141344325000 has 768 divisors, whose sum is σ = 526466304000. Its totient is φ = 35030880000.

The previous prime is 141344324983. The next prime is 141344325029. The reversal of 141344325000 is 523443141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1320974947 + ... + 1320975053.

It is an arithmetic number, because the mean of its divisors is an integer number (685503000).

Almost surely, 2141344325000 is an apocalyptic number.

141344325000 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 141344325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152000).

141344325000 is an abundant number, since it is smaller than the sum of its proper divisors (385121979000).

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

141344325000 is a wasteful number, since it uses less digits than its factorization.

141344325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 141344325000 its reverse (523443141), we get a palindrome (141867768141).

The spelling of 141344325000 in words is "one hundred forty-one billion, three hundred forty-four million, three hundred twenty-five thousand".