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141005525220 = 223357217313471
BaseRepresentation
bin1000001101010010010…
…1011001000011100100
3111110221220202212001000
42003110211121003210
54302234403301340
6144435501433300
713121151121500
oct2032445310344
9443856685030
10141005525220
1154888a4111a
12233b256b830
13103b1cb5031
146b78db7300
153a04144d30
hex20d49590e4

141005525220 has 288 divisors, whose sum is σ = 540325416960. Its totient is φ = 30333864960.

The previous prime is 141005525131. The next prime is 141005525249. The reversal of 141005525220 is 22525500141.

141005525220 is a `hidden beast` number, since 1 + 4 + 100 + 552 + 5 + 2 + 2 + 0 = 666.

141005525220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 293085 + ... + 606555.

It is an arithmetic number, because the mean of its divisors is an integer number (1876129920).

Almost surely, 2141005525220 is an apocalyptic number.

141005525220 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 141005525220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270162708480).

141005525220 is an abundant number, since it is smaller than the sum of its proper divisors (399319891740).

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

141005525220 is a wasteful number, since it uses less digits than its factorization.

141005525220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313520 (or 313505 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 141005525220 in words is "one hundred forty-one billion, five million, five hundred twenty-five thousand, two hundred twenty".