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244503305442 = 232115323299343
BaseRepresentation
bin1110001110110110001…
…0000101110011100010
3212101002212002211201100
43203231202011303202
513001220321233232
6304153454215230
723444006543124
oct3435542056342
9771085084640
10244503305442
1194769818280
123b4777b4516
131a0973648c6
14bb967b9214
15656049dc7c
hex38ed885ce2

244503305442 has 48 divisors (see below), whose sum is σ = 588821021568. Its totient is φ = 72693947040.

The previous prime is 244503305429. The next prime is 244503305467.

244503305442 is nontrivially palindromic in base 10.

244503305442 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244503305397 and 244503305406.

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 23 ways as a sum of consecutive naturals, for example, 11639178 + ... + 11660165.

It is an arithmetic number, because the mean of its divisors is an integer number (12267104616).

Almost surely, 2244503305442 is an apocalyptic number.

244503305442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244503305442 is an abundant number, since it is smaller than the sum of its proper divisors (344317716126).

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

244503305442 is a wasteful number, since it uses less digits than its factorization.

244503305442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23299415 (or 23299412 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 244503 and 305442, that added together give a palindrome (549945).

The spelling of 244503305442 in words is "two hundred forty-four billion, five hundred three million, three hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 23299343 46598686 69898029 139796058 209694087 256292773 419388174 512585546 768878319 1234865179 1537756638 2306634957 2469730358 3704595537 4613269914 7409191074 11113786611 13583516969 22227573222 27167033938 40750550907 81501101814 122251652721 244503305442