Search a number
-
+
242134431242 = 2113714632767
BaseRepresentation
bin1110000110000001010…
…1100011011000001010
3212010222202122120012212
43201200111203120022
512431342403244432
6303122433105122
723331213464264
oct3414025433012
9763882576185
10242134431242
1193763635000
123ab163b81a2
1319aaa6564b2
14ba0dd3cb34
1564725252b2
hex386056360a

242134431242 has 64 divisors (see below), whose sum is σ = 406142926848. Its totient is φ = 108237452400.

The previous prime is 242134431197. The next prime is 242134431277.

It is a happy number.

242134431242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242134431199 and 242134431208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87506543 + ... + 87509309.

It is an arithmetic number, because the mean of its divisors is an integer number (6345983232).

Almost surely, 2242134431242 is an apocalyptic number.

242134431242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242134431242 is a deficient number, since it is larger than the sum of its proper divisors (164008495606).

242134431242 is a wasteful number, since it uses less digits than its factorization.

242134431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3314 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 242134 and 431242, that added together give a palindrome (673376).

The spelling of 242134431242 in words is "two hundred forty-two billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 11 22 71 121 142 242 463 781 926 1331 1562 2662 2767 5093 5534 8591 10186 17182 30437 32873 56023 60874 65746 94501 112046 189002 196457 334807 361603 392914 616253 669614 723206 1232506 1281121 2161027 2562242 3682877 3977633 4322054 7365754 7955266 14092331 23771297 28184662 43753963 47542594 87507926 90959591 155015641 181919182 261484267 310031282 522968534 1000555501 1705172051 2001111002 3410344102 11006110511 22012221022 121067215621 242134431242