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4345142412 = 223131012111307
BaseRepresentation
bin1000000101111110…
…11001110010001100
3102012211011002211110
410002333121302030
532344324024122
61555055252020
7212451046452
oct40277316214
912184132743
104345142412
11192a7a0896
12a1321a010
135432968b0
142d31189d2
151a66ee90c
hex102fd9c8c

4345142412 has 96 divisors (see below), whose sum is σ = 11087403264. Its totient is φ = 1316448000.

The previous prime is 4345142411. The next prime is 4345142429. The reversal of 4345142412 is 2142415434.

It is a super-2 number, since 2×43451424122 = 37760525161122355488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4345142412.

It is not an unprimeable number, because it can be changed into a prime (4345142411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3323863 + ... + 3325169.

It is an arithmetic number, because the mean of its divisors is an integer number (115493784).

Almost surely, 24345142412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543701632).

4345142412 is an abundant number, since it is smaller than the sum of its proper divisors (6742260852).

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

4345142412 is a wasteful number, since it uses less digits than its factorization.

4345142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 4345142412 is about 65917.6942254506. The cubic root of 4345142412 is about 1631.8040437180.

Adding to 4345142412 its reverse (2142415434), we get a palindrome (6487557846).

The spelling of 4345142412 in words is "four billion, three hundred forty-five million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 211 303 404 422 606 633 844 1212 1266 1307 1313 2532 2614 2626 2743 3921 3939 5228 5252 5486 7842 7878 8229 10972 15684 15756 16458 16991 21311 32916 33982 42622 50973 63933 67964 85244 101946 127866 132007 203892 255732 264014 275777 277043 396021 528028 551554 554086 792042 827331 831129 1103108 1108172 1584084 1654662 1662258 1716091 3309324 3324516 3432182 3585101 5148273 6864364 7170202 10296546 10755303 14340404 20593092 21510606 27853477 43021212 55706954 83560431 111413908 167120862 334241724 362095201 724190402 1086285603 1448380804 2172571206 4345142412