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134381881185984 = 263317319833099
BaseRepresentation
bin11110100011100000111000…
…010010101101011011000000
3122121210210010100112020111000
4132203200320102231123000
5120103203043040422414
61153450103423052000
740206525201222135
oct3643407022553300
9577723110466430
10134381881185984
1139900043668033
12130a4138141000
1359ca206c8b513
14252819118658c
1510808ab424b09
hex7a38384ad6c0

134381881185984 has 448 divisors, whose sum is σ = 441836251200000. Its totient is φ = 39940077735936.

The previous prime is 134381881185973. The next prime is 134381881186087. The reversal of 134381881185984 is 489581188183431.

134381881185984 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 8 + 18 + 8 + 1 + 18 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160887067 + ... + 161720165.

Almost surely, 2134381881185984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134381881185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220918125600000).

134381881185984 is an abundant number, since it is smaller than the sum of its proper divisors (307454370014016).

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

134381881185984 is an equidigital number, since it uses as much as digits as its factorization.

134381881185984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833190 (or 833140 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 72.

The spelling of 134381881185984 in words is "one hundred thirty-four trillion, three hundred eighty-one billion, eight hundred eighty-one million, one hundred eighty-five thousand, nine hundred eighty-four".