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141016474368 = 2834721123137
BaseRepresentation
bin1000001101010100111…
…1001010001100000000
3111110222200101010110000
42003111033022030000
54302300204134433
6144440532240000
713121343153300
oct2032517121400
9443880333400
10141016474368
115489413a400
12233b6170000
13103b4349913
146b7a627600
153a050a9113
hex20d53ca300

141016474368 has 1620 divisors, whose sum is σ = 569988826176. Its totient is φ = 34488115200.

The previous prime is 141016474367. The next prime is 141016474409. The reversal of 141016474368 is 863474610141.

141016474368 is a `hidden beast` number, since 1 + 410 + 164 + 74 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (141016474367) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3811256046 + ... + 3811256082.

Almost surely, 2141016474368 is an apocalyptic number.

141016474368 is a gapful number since it is divisible by the number (18) 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 141016474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284994413088).

141016474368 is an abundant number, since it is smaller than the sum of its proper divisors (428972351808).

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

141016474368 is a wasteful number, since it uses less digits than its factorization.

141016474368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 141016474368 in words is "one hundred forty-one billion, sixteen million, four hundred seventy-four thousand, three hundred sixty-eight".