Search a number
-
+
44301314113001 = 1143647144760871
BaseRepresentation
bin10100001001010101101000…
…00101110011110111101001
312210212011102202021121010122
422010222310011303313221
521301313042403104001
6234115424233253025
712221443601542451
oct1204526405636751
9183764382247118
1044301314113001
111313009997a540
124b75a84564175
131b9479952b74a
14ad22a32b2d61
1551c5a3912b1b
hex284ab4173de9

44301314113001 has 16 divisors (see below), whose sum is σ = 49529063789568. Its totient is φ = 39276519248400.

The previous prime is 44301314112997. The next prime is 44301314113061. The reversal of 44301314113001 is 10031141310344.

44301314113001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 44301314113001 - 22 = 44301314112997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44301314113061) 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 15 ways as a sum of consecutive naturals, for example, 72074405 + ... + 72686466.

It is an arithmetic number, because the mean of its divisors is an integer number (3095566486848).

Almost surely, 244301314113001 is an apocalyptic number.

It is an amenable number.

44301314113001 is a deficient number, since it is larger than the sum of its proper divisors (5227749676567).

44301314113001 is a wasteful number, since it uses less digits than its factorization.

44301314113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144761572.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 44301314113001 its reverse (10031141310344), we get a palindrome (54332455423345).

The spelling of 44301314113001 in words is "forty-four trillion, three hundred one billion, three hundred fourteen million, one hundred thirteen thousand, one".

Divisors: 1 11 43 473 647 7117 27821 306031 144760871 1592369581 6224717453 68471891983 93660283537 1030263118907 4027392192091 44301314113001