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144104413040200 = 23523889185271809
BaseRepresentation
bin100000110000111111101100…
…010110011000111001001000
3200220020020200022111020212101
4200300333230112120321020
5122342001314214241300
61230252353050523144
742232125456350134
oct4060775426307110
9626206608436771
10144104413040200
1141a0937a404378
12141b44984364b4
136253cac396152
1427829957dc3c4
15119d746d43b6a
hex830fec598e48

144104413040200 has 48 divisors (see below), whose sum is σ = 335128913518500. Its totient is φ = 57626943160320.

The previous prime is 144104413040167. The next prime is 144104413040239. The reversal of 144104413040200 is 2040314401441.

It can be written as a sum of positive squares in 6 ways, for example, as 107428622989284 + 36675790050916 = 10364778^2 + 6056054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91858105 + ... + 93413704.

Almost surely, 2144104413040200 is an apocalyptic number.

144104413040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104413040200 is an abundant number, since it is smaller than the sum of its proper divisors (191024500478300).

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

144104413040200 is a wasteful number, since it uses less digits than its factorization.

144104413040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185275714 (or 185275705 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144104413040200 its reverse (2040314401441), we get a palindrome (146144727441641).

The spelling of 144104413040200 in words is "one hundred forty-four trillion, one hundred four billion, four hundred thirteen million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3889 7778 15556 19445 31112 38890 77780 97225 155560 194450 388900 777800 185271809 370543618 741087236 926359045 1482174472 1852718090 3705436180 4631795225 7410872360 9263590450 18527180900 37054361800 720522065201 1441044130402 2882088260804 3602610326005 5764176521608 7205220652010 14410441304020 18013051630025 28820882608040 36026103260050 72052206520100 144104413040200