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202412144034 = 232101111337813
BaseRepresentation
bin1011110010000010110…
…1000011010110100010
3201100110110011022001100
42330200231003112202
511304020002102114
6232553054415230
720423650556622
oct2744055032642
9640413138040
10202412144034
117892a418771
123328b501516
1316119c9a539
149b225c2882
1553ea0e8909
hex2f20b435a2

202412144034 has 24 divisors (see below), whose sum is σ = 442901824092. Its totient is φ = 66802687200.

The previous prime is 202412143981. The next prime is 202412144047. The reversal of 202412144034 is 430441214202.

202412144034 is a `hidden beast` number, since 2 + 0 + 2 + 41 + 214 + 403 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131227236009 + 71184908025 = 362253^2 + 266805^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202412143989 and 202412144007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55667089 + ... + 55670724.

Almost surely, 2202412144034 is an apocalyptic number.

202412144034 is an abundant number, since it is smaller than the sum of its proper divisors (240489680058).

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

202412144034 is a wasteful number, since it uses less digits than its factorization.

202412144034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111337922 (or 111337919 counting only the distinct ones).

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

Adding to 202412144034 its reverse (430441214202), we get a palindrome (632853358236).

The spelling of 202412144034 in words is "two hundred two billion, four hundred twelve million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 111337813 222675626 334013439 668026878 1002040317 2004080634 11245119113 22490238226 33735357339 67470714678 101206072017 202412144034