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202444013124 = 2234624827201
BaseRepresentation
bin1011110010001010011…
…0100111111001000100
3201100112200010102020000
42330202212213321010
511304101131404444
6233000153441300
720424515501463
oct2744246477104
9640480112200
10202444013124
1178946405461
123329a110230
13161237781a2
149b2691a9da
1553ecce1469
hex2f229a7e44

202444013124 has 30 divisors (see below), whose sum is σ = 529228640094. Its totient is φ = 67481337600.

The previous prime is 202444013119. The next prime is 202444013143. The reversal of 202444013124 is 421310444202.

202444013124 is a `hidden beast` number, since 2 + 0 + 244 + 401 + 3 + 12 + 4 = 666.

202444013124 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., 172590393600 + 29853619524 = 415440^2 + 172782^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 312413277 + ... + 312413924.

Almost surely, 2202444013124 is an apocalyptic number.

It is an amenable number.

202444013124 is an abundant number, since it is smaller than the sum of its proper divisors (326784626970).

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

202444013124 is a wasteful number, since it uses less digits than its factorization.

202444013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624827217 (or 624827206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202444013124 its reverse (421310444202), we get a palindrome (623754457326).

The spelling of 202444013124 in words is "two hundred two billion, four hundred forty-four million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 624827201 1249654402 1874481603 2499308804 3748963206 5623444809 7497926412 11246889618 16870334427 22493779236 33740668854 50611003281 67481337708 101222006562 202444013124