Search a number
-
+
1001023044444 = 22339268731893
BaseRepresentation
bin11101001000100011001…
…11110111101101011100
310112200211000110110122000
432210101213313231130
5112400043344410234
62043510313522300
7132215166325623
oct16442147675534
93480730413560
101001023044444
11356593459375
12142008713390
137351c213a97
14366422726ba
151b08b49a899
hexe9119f7b5c

1001023044444 has 24 divisors (see below), whose sum is σ = 2595244930320. Its totient is φ = 333674348112.

The previous prime is 1001023044443. The next prime is 1001023044479. The reversal of 1001023044444 is 4444403201001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001023044443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4634365839 + ... + 4634366054.

It is an arithmetic number, because the mean of its divisors is an integer number (108135205430).

Almost surely, 21001023044444 is an apocalyptic number.

It is an amenable number.

1001023044444 is an abundant number, since it is smaller than the sum of its proper divisors (1594221885876).

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

1001023044444 is a wasteful number, since it uses less digits than its factorization.

1001023044444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268731906 (or 9268731898 counting only the distinct ones).

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

Adding to 1001023044444 its reverse (4444403201001), we get a palindrome (5445426245445).

The spelling of 1001023044444 in words is "one trillion, one billion, twenty-three million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9268731893 18537463786 27806195679 37074927572 55612391358 83418587037 111224782716 166837174074 250255761111 333674348148 500511522222 1001023044444