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4342124412 = 22322912732749
BaseRepresentation
bin1000000101100111…
…11000111101111100
3102012121110202220200
410002303320331330
532343040440122
61554510443500
7212413306563
oct40263707574
912177422820
104342124412
11192901a37a
12a12203590
1354277acb2
142d2970bda
151a63055ac
hex102cf8f7c

4342124412 has 72 divisors (see below), whose sum is σ = 11444160000. Its totient is φ = 1386419328.

The previous prime is 4342124401. The next prime is 4342124419. The reversal of 4342124412 is 2144212434.

4342124412 is a `hidden beast` number, since 4 + 3 + 4 + 212 + 441 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342124419) 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, 116214 + ... + 148962.

Almost surely, 24342124412 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 4342124412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722080000).

4342124412 is an abundant number, since it is smaller than the sum of its proper divisors (7102035588).

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

4342124412 is a wasteful number, since it uses less digits than its factorization.

4342124412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32915 (or 32910 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4342124412 is about 65894.7980647942. The cubic root of 4342124412 is about 1631.4261562000.

Adding to 4342124412 its reverse (2144212434), we get a palindrome (6486336846).

The spelling of 4342124412 in words is "four billion, three hundred forty-two million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 127 174 254 261 348 381 508 522 762 1044 1143 1524 2286 3683 4572 7366 11049 14732 22098 32749 33147 44196 65498 66294 98247 130996 132588 196494 294741 392988 589482 949721 1178964 1899442 2849163 3798884 4159123 5698326 8318246 8547489 11396652 12477369 16636492 17094978 24954738 34189956 37432107 49909476 74864214 120614567 149728428 241229134 361843701 482458268 723687402 1085531103 1447374804 2171062206 4342124412