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234341060143432 = 231122774201208037
BaseRepresentation
bin110101010010000111000111…
…101001010110100101001000
31010201201210020101211221121211
4311102013013221112211020
5221203420442344042212
62150222444041142504
7100234403633266504
oct6522070751264510
91121653211757554
10234341060143432
1168739538212800
1222348a4aa8aa34
13a09b361c121c8
1441c224c745304
151c15b370ca9a7
hexd521c7a56948

234341060143432 has 96 divisors (see below), whose sum is σ = 484826571666360. Its totient is φ = 106108345728000.

The previous prime is 234341060143417. The next prime is 234341060143433.

234341060143432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26834326994596 + 207506733148836 = 5180186^2 + 14405094^2 .

It is a super-2 number, since 2×2343410601434322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234341060143433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126335318 + ... + 1126543354.

Almost surely, 2234341060143432 is an apocalyptic number.

234341060143432 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 234341060143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242413285833180).

234341060143432 is an abundant number, since it is smaller than the sum of its proper divisors (250485511522928).

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

234341060143432 is a wasteful number, since it uses less digits than its factorization.

234341060143432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212543 (or 212528 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 234341060143432 in words is "two hundred thirty-four trillion, three hundred forty-one billion, sixty million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 277 484 554 968 1108 2216 3047 4201 6094 8402 12188 16804 24376 33517 33608 46211 67034 92422 134068 184844 208037 268136 369688 416074 508321 832148 1016642 1163677 1664296 2033284 2288407 2327354 4066568 4576814 4654708 9153628 9309416 12800447 18307256 25172477 25600894 50344954 51201788 57626249 100689908 102403576 115252498 140804917 201379816 230504996 281609834 461009992 563219668 633888739 873963437 1126439336 1267777478 1747926874 2535554956 3495853748 5071109912 6972776129 6991707496 9613597807 13945552258 19227195614 27891104516 38454391228 55782209032 76908782456 105749575877 211499151754 242087872049 422998303508 484175744098 845996607016 968351488196 1936702976392 2662966592539 5325933185078 10651866370156 21303732740312 29292632517929 58585265035858 117170530071716 234341060143432