Search a number
-
+
44205133150244 = 221119395411337269
BaseRepresentation
bin10100000110100010011110…
…10000100011100000100100
312210111222011201211110002202
422003101033100203200210
521243224103041301434
6234003320253354032
712211500260052353
oct1203211720434044
9183458151743082
1044205133150244
11130a3323268670
124b5b301798918
131b886abcc0571
14acb77b53b99a
15519d24b04a7e
hex28344f423824

44205133150244 has 48 divisors (see below), whose sum is σ = 88835594971200. Its totient is φ = 19035207619200.

The previous prime is 44205133150229. The next prime is 44205133150249.

44205133150244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 44205133150198 and 44205133150207.

It is not an unprimeable number, because it can be changed into a prime (44205133150249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32387642 + ... + 33724910.

It is an arithmetic number, because the mean of its divisors is an integer number (1850741561900).

Almost surely, 244205133150244 is an apocalyptic number.

44205133150244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44205133150244 is an abundant number, since it is smaller than the sum of its proper divisors (44630461820956).

44205133150244 is a wasteful number, since it uses less digits than its factorization.

44205133150244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376844 (or 1376842 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4420513 and 3150244, that added together give a palindrome (7570757).

The spelling of 44205133150244 in words is "forty-four trillion, two hundred five billion, one hundred thirty-three million, one hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 39541 79082 158164 434951 751279 869902 1337269 1502558 1739804 2674538 3005116 5349076 8264069 14709959 16528138 25408111 29419918 33056276 50816222 58839836 101632444 279489221 558978442 1117956884 52876953529 105753907058 211507814116 581646488819 1004662117051 1163292977638 2009324234102 2326585955276 4018648468204 11051283287561 22102566575122 44205133150244