Base | Representation |
---|---|
bin | 1000010000110001000… |
… | …1000101110110100000 |
3 | 111120101000122021000200 |
4 | 2010030101011312200 |
5 | 4311143032242101 |
6 | 145112312545200 |
7 | 13153253531220 |
oct | 2041421056640 |
9 | 446330567020 |
10 | 141939727776 |
11 | 55218304350 |
12 | 236133b2200 |
13 | 105006c5502 |
14 | 6c270b8080 |
15 | 3a5b17a986 |
hex | 210c445da0 |
141939727776 has 1152 divisors, whose sum is σ = 556491866112. Its totient is φ = 33225984000.
The previous prime is 141939727717. The next prime is 141939727781. The reversal of 141939727776 is 677727939141.
It is a super-2 number, since 2×1419397277762 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 743139841 + ... + 743140031.
It is an arithmetic number, because the mean of its divisors is an integer number (483065856).
Almost surely, 2141939727776 is an apocalyptic number.
141939727776 is a gapful number since it is divisible by the number (16) 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 141939727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278245933056).
141939727776 is an abundant number, since it is smaller than the sum of its proper divisors (414552138336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141939727776 is a wasteful number, since it uses less digits than its factorization.
141939727776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 326 (or 315 counting only the distinct ones).
The product of its digits is 28005264, while the sum is 63.
The spelling of 141939727776 in words is "one hundred forty-one billion, nine hundred thirty-nine million, seven hundred twenty-seven thousand, seven hundred seventy-six".
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