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141093540 = 223257217941
BaseRepresentation
bin10000110100011…
…10101010100100
3100211111021221200
420122032222210
5242104443130
622000042500
73332163300
oct1032165244
9324437850
10141093540
1172709735
123b303430
1323301003
1414a4ad00
15c5c0760
hex868eaa4

141093540 has 216 divisors, whose sum is σ = 527704632. Its totient is φ = 30320640.

The previous prime is 141093539. The next prime is 141093553. The reversal of 141093540 is 45390141.

141093540 is a `hidden beast` number, since 14 + 109 + 3 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36072036 + 105021504 = 6006^2 + 10248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149470 + ... + 150410.

It is an arithmetic number, because the mean of its divisors is an integer number (2443077).

Almost surely, 2141093540 is an apocalyptic number.

141093540 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 141093540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263852316).

141093540 is an abundant number, since it is smaller than the sum of its proper divisors (386611092).

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

141093540 is a wasteful number, since it uses less digits than its factorization.

141093540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 141093540 is about 11878.2801785444. The cubic root of 141093540 is about 520.5978577286.

The spelling of 141093540 in words is "one hundred forty-one million, ninety-three thousand, five hundred forty".