Search a number
-
+
145106444 = 22723831933
BaseRepresentation
bin10001010011000…
…10011000001100
3101010001011121202
420221202120030
5244121401234
622222045032
73411245600
oct1051423014
9333034552
10145106444
11749aa68a
1240719778
13240a7702
14153b3500
15cb1477e
hex8a6260c

145106444 has 36 divisors (see below), whose sum is σ = 296319744. Its totient is φ = 61994016.

The previous prime is 145106431. The next prime is 145106447. The reversal of 145106444 is 444601541.

It is not an unprimeable number, because it can be changed into a prime (145106447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74102 + ... + 76034.

It is an arithmetic number, because the mean of its divisors is an integer number (8231104).

Almost surely, 2145106444 is an apocalyptic number.

145106444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145106444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148159872).

145106444 is an abundant number, since it is smaller than the sum of its proper divisors (151213300).

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

145106444 is a wasteful number, since it uses less digits than its factorization.

145106444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 145106444 is about 12046.0136144701. The cubic root of 145106444 is about 525.4873104963.

Adding to 145106444 its reverse (444601541), we get a palindrome (589707985).

The spelling of 145106444 in words is "one hundred forty-five million, one hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 383 766 1532 1933 2681 3866 5362 7732 10724 13531 18767 27062 37534 54124 75068 94717 189434 378868 740339 1480678 2961356 5182373 10364746 20729492 36276611 72553222 145106444