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141383880960 = 28357172947227
BaseRepresentation
bin1000001110101100100…
…0101101000100000000
3111111221021201022112120
42003223020231010000
54304023233142320
6144541215124240
713133424105450
oct2035310550400
9444837638476
10141383880960
1154a62573413
1223499213680
13104424b897a
146bb3345d60
153a27480440
hex20eb22d100

141383880960 has 1152 divisors, whose sum is σ = 579818373120. Its totient is φ = 28615114752.

The previous prime is 141383880959. The next prime is 141383880961. The reversal of 141383880960 is 69088383141.

It is an interprime number because it is at equal distance from previous prime (141383880959) and next prime (141383880961).

It is a super-2 number, since 2×1413838809602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (141383880961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 622836367 + ... + 622836593.

It is an arithmetic number, because the mean of its divisors is an integer number (503314560).

Almost surely, 2141383880960 is an apocalyptic number.

141383880960 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 141383880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289909186560).

141383880960 is an abundant number, since it is smaller than the sum of its proper divisors (438434492160).

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

141383880960 is a wasteful number, since it uses less digits than its factorization.

141383880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 141383880960 in words is "one hundred forty-one billion, three hundred eighty-three million, eight hundred eighty thousand, nine hundred sixty".