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4136422312 = 2311531635441
BaseRepresentation
bin1111011010001100…
…1100101110101000
3101200021102000200101
43312203030232220
531432411003222
61522241515144
7204335003161
oct36643145650
911607360611
104136422312
1118329a2340
12975342ab4
1350bc78489
142b3506768
15193221927
hexf68ccba8

4136422312 has 64 divisors (see below), whose sum is σ = 8674983360. Its totient is φ = 1833062400.

The previous prime is 4136422307. The next prime is 4136422343. The reversal of 4136422312 is 2132246314.

It is a happy number.

It is a super-2 number, since 2×41364223122 = 34219979086422850688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757512 + ... + 762952.

It is an arithmetic number, because the mean of its divisors is an integer number (135546615).

Almost surely, 24136422312 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 4136422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337491680).

4136422312 is an abundant number, since it is smaller than the sum of its proper divisors (4538561048).

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

4136422312 is a wasteful number, since it uses less digits than its factorization.

4136422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5670 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4136422312 is about 64315.0239990626. The cubic root of 4136422312 is about 1605.2461020835.

Adding to 4136422312 its reverse (2132246314), we get a palindrome (6268668626).

The spelling of 4136422312 in words is "four billion, one hundred thirty-six million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 53 88 106 163 212 326 424 583 652 1166 1304 1793 2332 3586 4664 5441 7172 8639 10882 14344 17278 21764 34556 43528 59851 69112 95029 119702 190058 239404 288373 380116 478808 576746 760232 886883 1153492 1773766 2306984 3172103 3547532 6344206 7095064 9755713 12688412 19511426 25376824 39022852 47004799 78045704 94009598 188019196 376038392 517052789 1034105578 2068211156 4136422312