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1002002144 = 251113218969
BaseRepresentation
bin111011101110010…
…101011011100000
32120211102222112112
4323232111123200
54023003032034
6243232214452
733554610023
oct7356253340
92524388475
101002002144
11474671050
1223b69a428
1312c78b5a0
149710d1ba
155ce797ce
hex3bb956e0

1002002144 has 48 divisors (see below), whose sum is σ = 2317578480. Its totient is φ = 420418560.

The previous prime is 1002002123. The next prime is 1002002173. The reversal of 1002002144 is 4412002001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 104909 + ... + 114060.

It is an arithmetic number, because the mean of its divisors is an integer number (48282885).

Almost surely, 21002002144 is an apocalyptic number.

It is an amenable number.

1002002144 is an abundant number, since it is smaller than the sum of its proper divisors (1315576336).

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

1002002144 is a wasteful number, since it uses less digits than its factorization.

1002002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219003 (or 218995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1002002144 is about 31654.4174484384. The cubic root of 1002002144 is about 1000.6669364302. Note that the first 3 decimals are identical.

Adding to 1002002144 its reverse (4412002001), we get a palindrome (5414004145).

The spelling of 1002002144 in words is "one billion, two million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 218969 437938 875876 1751752 2408659 2846597 3503504 4817318 5693194 7007008 9634636 11386388 19269272 22772776 31312567 38538544 45545552 62625134 77077088 91091104 125250268 250500536 501001072 1002002144