Search a number
-
+
44111022011144 = 2311773648462631
BaseRepresentation
bin10100000011110011001011…
…10011000011001100001000
312210011222020222010020100022
422001321211303003030020
521240203333113324034
6233452153533200012
712201626150424464
oct1201714563031410
9183158228106308
1044111022011144
1113067419a53960
124b45018030008
131b7c861535bca
14ac6db06394a4
1551766789cb2e
hex281e65cc3308

44111022011144 has 32 divisors (see below), whose sum is σ = 90343813890240. Its totient is φ = 20024526014400.

The previous prime is 44111022011123. The next prime is 44111022011191.

44111022011144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×441110220111443 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324163292 + ... + 324299339.

It is an arithmetic number, because the mean of its divisors is an integer number (2823244184070).

Almost surely, 244111022011144 is an apocalyptic number.

44111022011144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44111022011144 is an abundant number, since it is smaller than the sum of its proper divisors (46232791879096).

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

44111022011144 is a wasteful number, since it uses less digits than its factorization.

44111022011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648463421 (or 648463417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 4411102 and 2011144, that added together give a palindrome (6422246).

The spelling of 44111022011144 in words is "forty-four trillion, one hundred eleven billion, twenty-two million, eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 773 1546 3092 6184 8503 17006 34012 68024 648462631 1296925262 2593850524 5187701048 7133088941 14266177882 28532355764 57064711528 501261613763 1002523227526 2005046455052 4010092910104 5513877751393 11027755502786 22055511005572 44111022011144