Search a number
-
+
442333202333244 = 223371397167237059
BaseRepresentation
bin110010010010011001011100…
…1011001011011111000111100
32011000011122022102000021220120
41210210302321121123320330
5430434141344244130434
64204433022354414540
7162112343051424135
oct14444627131337074
92130148272007816
10442333202333244
11118a39504129182
124173b17a591450
1315ca7ac3b480c1
147b33081194c8c
15362117d320349
hex1924cb965be3c

442333202333244 has 48 divisors (see below), whose sum is σ = 1067631632457600. Its totient is φ = 142427334816576.

The previous prime is 442333202333167. The next prime is 442333202333257.

442333202333244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442333202333196 and 442333202333205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583556814 + ... + 3583680245.

It is an arithmetic number, because the mean of its divisors is an integer number (22242325676200).

Almost surely, 2442333202333244 is an apocalyptic number.

It is an amenable number.

442333202333244 is an abundant number, since it is smaller than the sum of its proper divisors (625298430124356).

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

442333202333244 is a wasteful number, since it uses less digits than its factorization.

442333202333244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167237242 (or 7167237240 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 44233320 and 2333244, that added together give a palindrome (46566564).

The spelling of 442333202333244 in words is "four hundred forty-two trillion, three hundred thirty-three billion, two hundred two million, three hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 139 148 222 278 417 444 556 834 1668 5143 10286 15429 20572 30858 61716 7167237059 14334474118 21501711177 28668948236 43003422354 86006844708 265187771183 530375542366 795563313549 996245951201 1060751084732 1591126627098 1992491902402 2988737853603 3182253254196 3984983804804 5977475707206 11954951414412 36861100194437 73722200388874 110583300583311 147444400777748 221166601166622 442333202333244