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141494292000 = 25325319316673
BaseRepresentation
bin1000001111000110110…
…1111000111000100000
3111112012222110210000100
42003301231320320200
54304240014321000
6145000201422400
713136234431515
oct2036155707040
9445188423010
10141494292000
1155009925906
122350a19aa00
131045c336149
146bc3c8730c
153a31edea00
hex20f1b78e20

141494292000 has 576 divisors, whose sum is σ = 545726039040. Its totient is φ = 34587648000.

The previous prime is 141494291971. The next prime is 141494292011. The reversal of 141494292000 is 292494141.

141494292000 is a `hidden beast` number, since 14 + 14 + 9 + 429 + 200 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21200664 + ... + 21207336.

It is an arithmetic number, because the mean of its divisors is an integer number (947441040).

Almost surely, 2141494292000 is an apocalyptic number.

141494292000 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 141494292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272863019520).

141494292000 is an abundant number, since it is smaller than the sum of its proper divisors (404231747040).

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

141494292000 is a wasteful number, since it uses less digits than its factorization.

141494292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 141494292000 in words is "one hundred forty-one billion, four hundred ninety-four million, two hundred ninety-two thousand".