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141330193920 = 2932523266701
BaseRepresentation
bin1000001110011111101…
…1111001111000000000
3111111210112200201202200
42003213323321320000
54303421012201140
6144532020313200
713132202553456
oct2034773717000
9444715621680
10141330193920
1154a35234563
1223483242800
131043433c2a6
146baa16c9d6
153a228c8030
hex20e7ef9e00

141330193920 has 240 divisors, whose sum is σ = 510749265312. Its totient is φ = 36049305600.

The previous prime is 141330193913. The next prime is 141330193969. The reversal of 141330193920 is 29391033141.

141330193920 is a `hidden beast` number, since 1 + 413 + 30 + 193 + 9 + 20 = 666.

141330193920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396570 + ... + 663270.

Almost surely, 2141330193920 is an apocalyptic number.

141330193920 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 141330193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255374632656).

141330193920 is an abundant number, since it is smaller than the sum of its proper divisors (369419071392).

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

141330193920 is a wasteful number, since it uses less digits than its factorization.

141330193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266753 (or 266734 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 141330193920 in words is "one hundred forty-one billion, three hundred thirty million, one hundred ninety-three thousand, nine hundred twenty".