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139181224900 = 2252373072
BaseRepresentation
bin1000000110011111011…
…0001111001111000100
3111022020210000210110111
42001213312033033010
54240020343144100
6143534452402404
713025016614614
oct2014766171704
9438223023414
10139181224900
115403219a303
1222b83616404
13101810673a3
146a449b6a44
153948ddb6ba
hex2067d8f3c4

139181224900 has 27 divisors (see below), whose sum is σ = 302031353869. Its totient is φ = 55670997680.

The previous prime is 139181224883. The next prime is 139181224901. The reversal of 139181224900 is 9422181931.

It is a happy number.

The square root of 139181224900 is 373070.

It is a perfect power (a square), and thus also a powerful number.

139181224900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 50105240964 + 89075983936 = 223842^2 + 298456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139181224901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3712047 + ... + 3749353.

Almost surely, 2139181224900 is an apocalyptic number.

139181224900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139181224900 is the 373070-th square number.

It is an amenable number.

139181224900 is an abundant number, since it is smaller than the sum of its proper divisors (162850128969).

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

139181224900 is an frugal number, since it uses more digits than its factorization.

139181224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74628 (or 37314 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 139181224900 in words is "one hundred thirty-nine billion, one hundred eighty-one million, two hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 37307 74614 149228 186535 373070 746140 932675 1865350 3730700 1391812249 2783624498 5567248996 6959061245 13918122490 27836244980 34795306225 69590612450 139181224900