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141383711232 = 29321714912113
BaseRepresentation
bin1000001110101100100…
…0000011101000000000
3111111221021101200201100
42003223020003220000
54304023212224412
6144541211334400
713133422500561
oct2035310035000
9444837350640
10141383711232
1154a62467945
1223499151400
131044245963a
146bb3300168
153a27449edc
hex20eb203a00

141383711232 has 240 divisors, whose sum is σ = 434981032200. Its totient is φ = 44054347776.

The previous prime is 141383711219. The next prime is 141383711237. The reversal of 141383711232 is 232117383141.

141383711232 is a `hidden beast` number, since 1 + 41 + 383 + 7 + 1 + 1 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101185065216 + 40198646016 = 318096^2 + 200496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141383711237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11666008 + ... + 11678120.

Almost surely, 2141383711232 is an apocalyptic number.

141383711232 is a gapful number since it is divisible by the number (12) 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 141383711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217490516100).

141383711232 is an abundant number, since it is smaller than the sum of its proper divisors (293597320968).

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

141383711232 is a wasteful number, since it uses less digits than its factorization.

141383711232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12284 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 141383711232 in words is "one hundred forty-one billion, three hundred eighty-three million, seven hundred eleven thousand, two hundred thirty-two".