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141013370880 = 211335510031
BaseRepresentation
bin1000001101010100001…
…1010100100000000000
3111110222110112110021000
42003111003110200000
54302243410332010
6144440341532000
713121304606234
oct2032503244000
9443873473230
10141013370880
115489240a738
12233b5114000
13103b3801135
146b7a05a5c4
153a04b947c0
hex20d50d4800

141013370880 has 192 divisors, whose sum is σ = 501259449600. Its totient is φ = 37603491840.

The previous prime is 141013370851. The next prime is 141013370891. The reversal of 141013370880 is 88073310141.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21465 + ... + 531495.

It is an arithmetic number, because the mean of its divisors is an integer number (2610726300).

Almost surely, 2141013370880 is an apocalyptic number.

141013370880 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 141013370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629724800).

141013370880 is an abundant number, since it is smaller than the sum of its proper divisors (360246078720).

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

141013370880 is an equidigital number, since it uses as much as digits as its factorization.

141013370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510067 (or 510041 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 141013370880 in words is "one hundred forty-one billion, thirteen million, three hundred seventy thousand, eight hundred eighty".