Search a number
-
+
1004444041040 = 245111141413683
BaseRepresentation
bin11101001110111011000…
…01111011111101010000
310120000122102200002201122
432213131201323331100
5112424100133303130
62045234001421412
7132366026322626
oct16473541737520
93500572602648
101004444041040
11357a89525790
1214280233a868
1373945bab81b
1436888747516
151b1db99e2e5
hexe9dd87bf50

1004444041040 has 40 divisors (see below), whose sum is σ = 2547635342688. Its totient is φ = 365252378240.

The previous prime is 1004444041039. The next prime is 1004444041099. The reversal of 1004444041040 is 401404444001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570705962 + ... + 570707721.

Almost surely, 21004444041040 is an apocalyptic number.

1004444041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004444041040 is an abundant number, since it is smaller than the sum of its proper divisors (1543191301648).

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

1004444041040 is a wasteful number, since it uses less digits than its factorization.

1004444041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141413707 (or 1141413701 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1004444041040 its reverse (401404444001), we get a palindrome (1405848485041).

The spelling of 1004444041040 in words is "one trillion, four billion, four hundred forty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1141413683 2282827366 4565654732 5707068415 9131309464 11414136830 12555550513 18262618928 22828273660 25111101026 45656547320 50222202052 62777752565 91313094640 100444404104 125555505130 200888808208 251111010260 502222020520 1004444041040