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2444432344442 = 2112192918332051
BaseRepresentation
bin100011100100100011100…
…001011000010101111010
322122200111200201011222122
4203210203201120111322
5310022144140010232
65110542352321242
7341414212046624
oct43444341302572
98580450634878
102444432344442
11862750372200
123358b7543222
1314968030108a
148644db57c14
15438ba585312
hex2392385857a

2444432344442 has 48 divisors (see below), whose sum is σ = 4388693248800. Its totient is φ = 1016328852000.

The previous prime is 2444432344441. The next prime is 2444432344457.

2444432344442 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24444323444423 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444432344393 and 2444432344402.

It is not an unprimeable number, because it can be changed into a prime (2444432344441) by changing a digit.

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, 9032684 + ... + 9299367.

It is an arithmetic number, because the mean of its divisors is an integer number (91431109350).

Almost surely, 22444432344442 is an apocalyptic number.

2444432344442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2444432344442 is a deficient number, since it is larger than the sum of its proper divisors (1944260904358).

2444432344442 is a wasteful number, since it uses less digits than its factorization.

2444432344442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332123 (or 18332112 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 2444432344442 in words is "two trillion, four hundred forty-four billion, four hundred thirty-two million, three hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 11 19 22 29 38 58 121 209 242 319 418 551 638 1102 2299 3509 4598 6061 7018 12122 66671 133342 18332051 36664102 201652561 348308969 403305122 531629479 696617938 1063258958 2218178171 3831398659 4436356342 5847924269 7662797318 10100960101 11695848538 20201920202 42145385249 64327166959 84290770498 111110561111 128654333918 222221122222 1222216172221 2444432344442