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141322870656 = 27321119230893
BaseRepresentation
bin1000001110011101111…
…1111101111110000000
3111111210000220200010200
42003213133331332000
54303412123330111
6144531155325200
713132053403032
oct2034737757600
9444700820120
10141322870656
1154a31092480
12234808b0800
1310432976bb6
146ba91c3c52
153a21e2d256
hex20e77fdf80

141322870656 has 288 divisors, whose sum is σ = 468235024920. Its totient is φ = 40569845760.

The previous prime is 141322870639. The next prime is 141322870709. The reversal of 141322870656 is 656078223141.

141322870656 is a `hidden beast` number, since 1 + 413 + 228 + 7 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4559146 + ... + 4590038.

Almost surely, 2141322870656 is an apocalyptic number.

141322870656 is a gapful number since it is divisible by the number (16) 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 141322870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234117512460).

141322870656 is an abundant number, since it is smaller than the sum of its proper divisors (326912154264).

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

141322870656 is a wasteful number, since it uses less digits than its factorization.

141322870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30962 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 141322870656 in words is "one hundred forty-one billion, three hundred twenty-two million, eight hundred seventy thousand, six hundred fifty-six".