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244234343432442 = 23112997496767933
BaseRepresentation
bin110111100010000100111101…
…010010000100000011111010
31012000202120112022202120212210
4313202010331102010003322
5224003013413404314232
62223235413004515550
7102305230465605606
oct6742047522040372
91160676468676783
10244234343432442
1170903226767300
122348630354bbb6
13a638279b5179c
14444501075a506
151d381682c75cc
hexde213d4840fa

244234343432442 has 96 divisors (see below), whose sum is σ = 537566507162496. Its totient is φ = 73920200365440.

The previous prime is 244234343432383. The next prime is 244234343432447.

244234343432442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244234343432391 and 244234343432400.

It is not an unprimeable number, because it can be changed into a prime (244234343432447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3595189908 + ... + 3595257840.

It is an arithmetic number, because the mean of its divisors is an integer number (5599651116276).

Almost surely, 2244234343432442 is an apocalyptic number.

244234343432442 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 244234343432442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268783253581248).

244234343432442 is an abundant number, since it is smaller than the sum of its proper divisors (293332163730054).

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

244234343432442 is a wasteful number, since it uses less digits than its factorization.

244234343432442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73924 (or 73913 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

The spelling of 244234343432442 in words is "two hundred forty-four trillion, two hundred thirty-four billion, three hundred forty-three million, four hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 997 1994 2991 4967 5982 9934 10967 14901 21934 29802 32901 54637 65802 67933 109274 120637 135866 163911 203799 241274 327822 361911 407598 601007 723822 747263 1202014 1494526 1803021 2241789 3606042 4483578 4952099 8219893 9904198 14856297 16439786 24659679 29712594 49319358 54473089 67729201 108946178 135458402 163419267 203187603 326838534 337423211 406375206 599203979 674846422 745021211 1012269633 1198407958 1490042422 1797611937 2024539266 2235063633 3595223874 3711655321 4470127266 7423310642 8195233321 11134965963 16390466642 22269931926 24585699963 40828208531 49171399926 81656417062 122484625593 244969251186 336410941367 672821882734 1009232824101 2018465648202 3700520355037 7401040710074 11101561065111 22203122130222 40705723905407 81411447810814 122117171716221 244234343432442