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202414413144 = 23354403155027
BaseRepresentation
bin1011110010000011010…
…1101101010101011000
3201100110121102120200110
42330200311231111120
511304021042210034
6232553215204320
720424006060246
oct2744065552530
9640417376613
10202414413144
1178930728569
12332902166a0
131611a5b32c8
149b22a13796
1553ea3e5de9
hex2f20d6d558

202414413144 has 32 divisors (see below), whose sum is σ = 506048598720. Its totient is φ = 67469795616.

The previous prime is 202414413143. The next prime is 202414413167. The reversal of 202414413144 is 441314414202.

It is a happy number.

202414413144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202414413143) 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 7 ways as a sum of consecutive naturals, for example, 1228159 + ... + 1383185.

It is an arithmetic number, because the mean of its divisors is an integer number (15814018710).

Almost surely, 2202414413144 is an apocalyptic number.

202414413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202414413144 is an abundant number, since it is smaller than the sum of its proper divisors (303634185576).

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

202414413144 is a wasteful number, since it uses less digits than its factorization.

202414413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209439 (or 209435 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 202414413144 its reverse (441314414202), we get a palindrome (643728827346).

The spelling of 202414413144 in words is "two hundred two billion, four hundred fourteen million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 54403 108806 155027 163209 217612 310054 326418 435224 465081 620108 652836 930162 1240216 1305672 1860324 3720648 8433933881 16867867762 25301801643 33735735524 50603603286 67471471048 101207206572 202414413144