Search a number
-
+
141206147082 = 23271113171921277
BaseRepresentation
bin1000001110000010001…
…0101101000000001010
3111111110220021111111100
42003200202231000022
54303142233201312
6144511425442230
713126135306050
oct2034042550012
9444426244440
10141206147082
1154981209310
12234497a0376
13104147293b0
146b978bc1d0
153a16a735dc
hex20e08ad00a

141206147082 has 576 divisors, whose sum is σ = 459401289984. Its totient is φ = 30163415040.

The previous prime is 141206147053. The next prime is 141206147119. The reversal of 141206147082 is 280741602141.

It is a happy number.

141206147082 is a `hidden beast` number, since 1 + 4 + 120 + 61 + 470 + 8 + 2 = 666.

It is a super-2 number, since 2×1412061470822 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110575828 + ... + 110577104.

It is an arithmetic number, because the mean of its divisors is an integer number (797571684).

Almost surely, 2141206147082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141206147082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229700644992).

141206147082 is an abundant number, since it is smaller than the sum of its proper divisors (318195142902).

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

141206147082 is a wasteful number, since it uses less digits than its factorization.

141206147082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 141206147082 in words is "one hundred forty-one billion, two hundred six million, one hundred forty-seven thousand, eighty-two".