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141506946 = 23371719261
BaseRepresentation
bin10000110111100…
…11100110000010
3100212021022001000
420123303212002
5242211210241
622012552430
73335534460
oct1033634602
9325238030
10141506946
1172971299
123b482716
1323417229
1414b17830
15c652eb6
hex86f3982

141506946 has 192 divisors, whose sum is σ = 408188160. Its totient is φ = 35458560.

The previous prime is 141506917. The next prime is 141506993. The reversal of 141506946 is 649605141.

141506946 is a `hidden beast` number, since 141 + 506 + 9 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141506946.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2319756 + ... + 2319816.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2141506946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141506946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

141506946 is an abundant number, since it is smaller than the sum of its proper divisors (266681214).

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

141506946 is a wasteful number, since it uses less digits than its factorization.

141506946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 141506946 is about 11895.6692119443. The cubic root of 141506946 is about 521.1058148895.

The spelling of 141506946 in words is "one hundred forty-one million, five hundred six thousand, nine hundred forty-six".