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139199284224 = 210327111379191
BaseRepresentation
bin1000000110100011101…
…1001000010000000000
3111022022001000022012100
42001220323020100000
54240040004043344
6143540335430400
713025326251660
oct2015073102000
9438261008170
10139199284224
1154041404570
1222b89685400
1310184a1b390
146a471581a0
15394a7a7569
hex2068ec8400

139199284224 has 1056 divisors, whose sum is σ = 549353226240. Its totient is φ = 32779468800.

The previous prime is 139199284201. The next prime is 139199284241. The reversal of 139199284224 is 422482991931.

It is a happy number.

139199284224 is a `hidden beast` number, since 1 + 3 + 9 + 199 + 28 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728791969 + ... + 728792159.

Almost surely, 2139199284224 is an apocalyptic number.

139199284224 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 139199284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274676613120).

139199284224 is an abundant number, since it is smaller than the sum of its proper divisors (410153942016).

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

139199284224 is a wasteful number, since it uses less digits than its factorization.

139199284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 139199284224 in words is "one hundred thirty-nine billion, one hundred ninety-nine million, two hundred eighty-four thousand, two hundred twenty-four".