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141063721344 = 2734721323153
BaseRepresentation
bin1000001101100000001…
…1011001000110000000
3111111002222021112010000
42003120003121012000
54302344303040334
6144445341040000
713122455563500
oct2033003310600
9444088245100
10141063721344
115490887a797
1223409b56000
13103c107cc00
146b82a05a00
153a092dd299
hex20d80d9180

141063721344 has 1440 divisors, whose sum is σ = 556154216640. Its totient is φ = 35324190720.

The previous prime is 141063721297. The next prime is 141063721399. The reversal of 141063721344 is 443127360141.

141063721344 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 637 + 2 + 13 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 141063721299 and 141063721308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2661579622 + ... + 2661579674.

It is an arithmetic number, because the mean of its divisors is an integer number (386218206).

Almost surely, 2141063721344 is an apocalyptic number.

141063721344 is a gapful number since it is divisible by the number (14) 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 141063721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278077108320).

141063721344 is an abundant number, since it is smaller than the sum of its proper divisors (415090495296).

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

141063721344 is a wasteful number, since it uses less digits than its factorization.

141063721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 141063721344 in words is "one hundred forty-one billion, sixty-three million, seven hundred twenty-one thousand, three hundred forty-four".