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141094338048 = 293517193511
BaseRepresentation
bin1000001101100111100…
…0001011111000000000
3111111012002220000100000
42003121320023320000
54302430122304143
6144452353200000
713123310041146
oct2033170137000
9444162800300
10141094338048
1154924091554
1223418260000
13103c750c7c1
146b86ad5596
153a0bd39bd3
hex20d9e0be00

141094338048 has 480 divisors, whose sum is σ = 470797367040. Its totient is φ = 41923215360.

The previous prime is 141094338037. The next prime is 141094338083. The reversal of 141094338048 is 840833490141.

141094338048 is a `hidden beast` number, since 1 + 410 + 94 + 33 + 80 + 48 = 666.

It is a super-2 number, since 2×1410943380482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141094337994 and 141094338012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40184613 + ... + 40188123.

It is an arithmetic number, because the mean of its divisors is an integer number (980827848).

Almost surely, 2141094338048 is an apocalyptic number.

141094338048 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 141094338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235398683520).

141094338048 is an abundant number, since it is smaller than the sum of its proper divisors (329703028992).

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

141094338048 is an equidigital number, since it uses as much as digits as its factorization.

141094338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 141094338048 in words is "one hundred forty-one billion, ninety-four million, three hundred thirty-eight thousand, forty-eight".