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141542771328 = 2733723254383
BaseRepresentation
bin1000001111010010011…
…0110100101010000000
3111112100100200210011000
42003310212310222000
54304334422140303
6145005052452000
713140363463620
oct2036446645200
9445310623130
10141542771328
1155034228072
122352247a000
13104693ab33a
146bca4a6880
153a363b8da3
hex20f49b4a80

141542771328 has 256 divisors, whose sum is σ = 498185625600. Its totient is φ = 38682344448.

The previous prime is 141542771327. The next prime is 141542771371. The reversal of 141542771328 is 823177245141.

It is a happy number.

141542771328 is a `hidden beast` number, since 1 + 4 + 1 + 54 + 277 + 1 + 328 = 666.

It is a super-2 number, since 2×1415427713282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141542771323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429225 + ... + 683607.

It is an arithmetic number, because the mean of its divisors is an integer number (1946037600).

Almost surely, 2141542771328 is an apocalyptic number.

141542771328 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 141542771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249092812800).

141542771328 is an abundant number, since it is smaller than the sum of its proper divisors (356642854272).

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

141542771328 is a wasteful number, since it uses less digits than its factorization.

141542771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254436 (or 254418 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 141542771328 in words is "one hundred forty-one billion, five hundred forty-two million, seven hundred seventy-one thousand, three hundred twenty-eight".