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141298668000 = 2535537191093
BaseRepresentation
bin1000001110011000001…
…1101001000111100000
3111111201100101001100000
42003212003221013200
54303334424334000
6144524532500000
713131340601250
oct2034603510740
9444640331300
10141298668000
1154a19461686
122347477a600
131042a9518b9
146ba5cc3960
153a1ec4c000
hex20e60e91e0

141298668000 has 1152 divisors, whose sum is σ = 626186695680. Its totient is φ = 30569011200.

The previous prime is 141298667977. The next prime is 141298668011. The reversal of 141298668000 is 866892141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129275454 + ... + 129276546.

It is an arithmetic number, because the mean of its divisors is an integer number (543564840).

Almost surely, 2141298668000 is an apocalyptic number.

141298668000 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 141298668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313093347840).

141298668000 is an abundant number, since it is smaller than the sum of its proper divisors (484888027680).

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

141298668000 is a wasteful number, since it uses less digits than its factorization.

141298668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 141298668000 in words is "one hundred forty-one billion, two hundred ninety-eight million, six hundred sixty-eight thousand".