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141363675360 = 2535519316173
BaseRepresentation
bin1000001110100111101…
…1101000000011100000
3111111212212200202200000
42003221323220003200
54304003100102420
6144535214100000
713133060262135
oct2035173500340
9444785622600
10141363675360
1154a52122676
12234924aa600
131043b262aab
146bb07a658c
153a257dd690
hex20e9ee80e0

141363675360 has 576 divisors, whose sum is σ = 543675525120. Its totient is φ = 34555299840.

The previous prime is 141363675359. The next prime is 141363675403. The reversal of 141363675360 is 63576363141.

141363675360 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 636 + 7 + 5 + 3 + 6 + 0 = 666.

141363675360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413636753602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22897234 + ... + 22903406.

It is an arithmetic number, because the mean of its divisors is an integer number (943881120).

Almost surely, 2141363675360 is an apocalyptic number.

141363675360 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 141363675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271837762560).

141363675360 is an abundant number, since it is smaller than the sum of its proper divisors (402311849760).

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

141363675360 is a wasteful number, since it uses less digits than its factorization.

141363675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 141363675360 in words is "one hundred forty-one billion, three hundred sixty-three million, six hundred seventy-five thousand, three hundred sixty".