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234042130322 = 271121341259211
BaseRepresentation
bin1101100111110111111…
…1110111111110010010
3211101002210120002020222
43121331333313332102
512313304241132242
6255303435033042
722623532166240
oct3317577677622
9741083502228
10234042130322
1190290754600
123943829b782
13190bac67060
14b4832c9790
15614bd965d2
hex367dff7f92

234042130322 has 96 divisors (see below), whose sum is σ = 486513965952. Its totient is φ = 82117728000.

The previous prime is 234042130319. The next prime is 234042130327. The reversal of 234042130322 is 223031240432.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 234042130291 and 234042130300.

It is not an unprimeable number, because it can be changed into a prime (234042130327) 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, 773297 + ... + 1032507.

It is an arithmetic number, because the mean of its divisors is an integer number (5067853812).

Almost surely, 2234042130322 is an apocalyptic number.

234042130322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

234042130322 is an abundant number, since it is smaller than the sum of its proper divisors (252471835630).

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

234042130322 is a wasteful number, since it uses less digits than its factorization.

234042130322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259296 (or 259285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 234042130322 its reverse (223031240432), we get a palindrome (457073370754).

The spelling of 234042130322 in words is "two hundred thirty-four billion, forty-two million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 121 143 154 182 242 286 287 451 533 574 847 902 1001 1066 1573 1694 2002 3146 3157 3731 4961 5863 6314 7462 9922 11011 11726 22022 34727 41041 64493 69454 82082 128986 259211 451451 518422 902902 1814477 2851321 3369743 3628954 5702642 6739486 10627651 19959247 21255302 23588201 31364531 37067173 39918494 47176402 62729062 74134346 74393557 116904161 138159463 148787114 219551717 233808322 259470211 276318926 407738903 439103434 518940422 815477806 818329127 967116241 1285945771 1519754093 1636658254 1934232482 2571891542 2854172321 3039508186 5708344642 9001620397 10638278651 16717295023 18003240794 21276557302 33434590046 117021065161 234042130322