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4040314012 = 2272374671193
BaseRepresentation
bin1111000011010010…
…0100110010011100
3101102120120012212201
43300310210302130
531233310022022
61504525541244
7202060050100
oct36064446234
911376505781
104040314012
111793719799
12949114824
134c5098167
142a4849900
15189a8a127
hexf0d24c9c

4040314012 has 72 divisors (see below), whose sum is σ = 8472404304. Its totient is φ = 1679747328.

The previous prime is 4040313997. The next prime is 4040314039. The reversal of 4040314012 is 2104130404.

It is a super-2 number, since 2×40403140122 = 32648274631127072288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3386088 + ... + 3387280.

It is an arithmetic number, because the mean of its divisors is an integer number (117672282).

Almost surely, 24040314012 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 4040314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236202152).

4040314012 is an abundant number, since it is smaller than the sum of its proper divisors (4432090292).

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

4040314012 is a wasteful number, since it uses less digits than its factorization.

4040314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4040314012 is about 63563.4644430273. The cubic root of 4040314012 is about 1592.7161112339.

Adding to 4040314012 its reverse (2104130404), we get a palindrome (6144444416).

The spelling of 4040314012 in words is "four billion, forty million, three hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 467 518 934 1036 1193 1813 1868 2386 3269 3626 4772 6538 7252 8351 13076 16702 17279 22883 33404 34558 44141 45766 58457 69116 88282 91532 116914 120953 176564 233828 241906 308987 483812 557131 617974 846671 1114262 1235948 1693342 2162909 2228524 3386684 3899917 4325818 7799834 8651636 15599668 20613847 27299419 41227694 54598838 82455388 109197676 144296929 288593858 577187716 1010078503 2020157006 4040314012