Search a number
-
+
242123022344 = 23723296482197
BaseRepresentation
bin1110000101111110101…
…0000010000000001000
3212010221222011221011002
43201133222002000020
512431331443203334
6303121344354132
723331014506220
oct3413752020010
9763858157132
10242123022344
1193758152365
123ab12615948
1319aa8190578
14ba0c60d080
15647151eb7e
hex385fa82008

242123022344 has 64 divisors (see below), whose sum is σ = 560061907200. Its totient is φ = 95832785664.

The previous prime is 242123022341. The next prime is 242123022403. The reversal of 242123022344 is 443220321242.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (242123022341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3203747 + ... + 3278450.

It is an arithmetic number, because the mean of its divisors is an integer number (8750967300).

Almost surely, 2242123022344 is an apocalyptic number.

It is an amenable number.

242123022344 is an abundant number, since it is smaller than the sum of its proper divisors (317938884856).

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

242123022344 is a wasteful number, since it uses less digits than its factorization.

242123022344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482262 (or 6482258 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 242123022344 its reverse (443220321242), we get a palindrome (685343343586).

The spelling of 242123022344 in words is "two hundred forty-two billion, one hundred twenty-three million, twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 2668 4669 5336 9338 18676 37352 6482197 12964394 25928788 45375379 51857576 90750758 149090531 181501516 187983713 298181062 363003032 375967426 596362124 751934852 1043633717 1192724248 1315885991 1503869704 2087267434 2631771982 4174534868 4323625399 5263543964 8349069736 8647250798 10527087928 17294501596 30265377793 34589003192 60530755586 121061511172 242123022344