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234143341432 = 237111397729927
BaseRepresentation
bin1101101000010000000…
…1111101101101111000
3211101100212000010210121
43122010001331231320
512314011143411212
6255321452223024
722626201364330
oct3320401755570
9741325003717
10234143341432
11903328a2a50
123946616aa74
1319105c12ba0
14b4929140c0
156155bd9d07
hex368407db78

234143341432 has 128 divisors (see below), whose sum is σ = 590074813440. Its totient is φ = 84118394880.

The previous prime is 234143341373. The next prime is 234143341489.

234143341432 is nontrivially palindromic in base 10.

234143341432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7808853 + ... + 7838779.

It is an arithmetic number, because the mean of its divisors is an integer number (4609959480).

Almost surely, 2234143341432 is an apocalyptic number.

234143341432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234143341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295037406720).

234143341432 is an abundant number, since it is smaller than the sum of its proper divisors (355931472008).

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

234143341432 is a wasteful number, since it uses less digits than its factorization.

234143341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30941 (or 30937 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 234143 and 341432, that added together give a palindrome (575575).

The spelling of 234143341432 in words is "two hundred thirty-four billion, one hundred forty-three million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 977 1001 1144 1954 2002 3908 4004 6839 7816 8008 10747 12701 13678 21494 25402 27356 29927 42988 50804 54712 59854 75229 85976 88907 101608 119708 139711 150458 177814 209489 239416 279422 300916 329197 355628 389051 418978 558844 601832 658394 711256 778102 837956 977977 1117688 1316788 1556204 1675912 1955954 2304379 2633576 2723357 3112408 3911908 4279561 4608758 5446714 7823816 8559122 9217516 10893428 17118244 18435032 21786856 29238679 29956927 34236488 58477358 59913854 116954716 119827708 204670753 233909432 239655416 321625469 380102827 409341506 643250938 760205654 818683012 1286501876 1520411308 1637366024 2251378283 2573003752 2660719789 3040822616 4181131097 4502756566 5321439578 8362262194 9005513132 10642879156 16724524388 18011026264 21285758312 29267917679 33449048776 58535835358 117071670716 234143341432