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4345143012 = 2232722699157
BaseRepresentation
bin1000000101111110…
…11001111011100100
3102012211011010122200
410002333121323210
532344324034022
61555055254500
7212451051300
oct40277317344
912184133580
104345143012
11192a7a1291
12a1321a430
13543296c52
142d3118d00
151a66eebac
hex102fd9ee4

4345143012 has 108 divisors (see below), whose sum is σ = 12825687420. Its totient is φ = 1236719232.

The previous prime is 4345143007. The next prime is 4345143013. The reversal of 4345143012 is 2103415434.

It is a happy number.

4345143012 is a `hidden beast` number, since 4 + 345 + 14 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 418366116 + 3926776896 = 20454^2 + 62664^2 .

It is a super-3 number, since 3×43451430123 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4345143013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469938 + ... + 479094.

It is an arithmetic number, because the mean of its divisors is an integer number (118756365).

Almost surely, 24345143012 is an apocalyptic number.

4345143012 is a gapful number since it is divisible by the number (42) 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 4345143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412843710).

4345143012 is an abundant number, since it is smaller than the sum of its proper divisors (8480544408).

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

4345143012 is a wasteful number, since it uses less digits than its factorization.

4345143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4345143012 is about 65917.6987765805. The cubic root of 4345143012 is about 1631.8041188273.

Adding to 4345143012 its reverse (2103415434), we get a palindrome (6448558446).

The spelling of 4345143012 in words is "four billion, three hundred forty-five million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 269 294 441 538 588 807 882 1076 1614 1764 1883 2421 3228 3766 4842 5649 7532 9157 9684 11298 13181 16947 18314 22596 26362 27471 33894 36628 39543 52724 54942 64099 67788 79086 82413 109884 118629 128198 158172 164826 192297 237258 256396 329652 384594 448693 474516 576891 769188 897386 1153782 1346079 1794772 2307564 2463233 2692158 4038237 4926466 5384316 7389699 8076474 9852932 14779398 16152948 17242631 22169097 29558796 34485262 44338194 51727893 68970524 88676388 103455786 120698417 155183679 206911572 241396834 310367358 362095251 482793668 620734716 724190502 1086285753 1448381004 2172571506 4345143012