Search a number
-
+
244527725442 = 237111328397389
BaseRepresentation
bin1110001110111011111…
…1001111101110000010
3212101011120001111122210
43203232333033232002
513001243044203232
6304200125442550
723444424241350
oct3435677175602
9771146044583
10244527725442
11947815873a0
123b483a10456
131a09c434b00
14bb99b347d0
1565626c45cc
hex38eefcfb82

244527725442 has 384 divisors, whose sum is σ = 676820551680. Its totient is φ = 57177169920.

The previous prime is 244527725423. The next prime is 244527725479.

244527725442 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2445277254424 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244527725391 and 244527725400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 628605784 + ... + 628606172.

It is an arithmetic number, because the mean of its divisors is an integer number (1762553520).

Almost surely, 2244527725442 is an apocalyptic number.

244527725442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244527725442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338410275840).

244527725442 is an abundant number, since it is smaller than the sum of its proper divisors (432292826238).

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

244527725442 is a wasteful number, since it uses less digits than its factorization.

244527725442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

It can be divided in two parts, 244527 and 725442, that added together give a palindrome (969969).

The spelling of 244527725442 in words is "two hundred forty-four billion, five hundred twenty-seven million, seven hundred twenty-five thousand, four hundred forty-two".