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4400012424 = 2332312016637
BaseRepresentation
bin1000001100100001…
…01101110010001000
3102100122101210100010
410012100231302020
533002400344144
62004335311520
7214015326363
oct40620556210
912318353303
104400012424
111958768505
12a2967b5a0
13551768862
142da51d0da
151ab43c5b9
hex10642dc88

4400012424 has 64 divisors (see below), whose sum is σ = 11489581440. Its totient is φ = 1401523200.

The previous prime is 4400012417. The next prime is 4400012429. The reversal of 4400012424 is 4242100044.

It is a self number, because there is not a number n which added to its sum of digits gives 4400012424.

It is not an unprimeable number, because it can be changed into a prime (4400012429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659634 + ... + 666270.

It is an arithmetic number, because the mean of its divisors is an integer number (179524710).

Almost surely, 24400012424 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 4400012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744790720).

4400012424 is an abundant number, since it is smaller than the sum of its proper divisors (7089569016).

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

4400012424 is a wasteful number, since it uses less digits than its factorization.

4400012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4400012424 is about 66332.5894564655. The cubic root of 4400012424 is about 1638.6440835101.

Adding to 4400012424 its reverse (4242100044), we get a palindrome (8642112468).

The spelling of 4400012424 in words is "four billion, four hundred million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1201 2402 3603 4804 6637 7206 9608 13274 14412 19911 26548 27623 28824 39822 53096 55246 79644 82869 110492 152651 159288 165738 220984 305302 331476 457953 610604 662952 915906 1221208 1831812 3663624 7971037 15942074 23913111 31884148 47826222 63768296 95652444 183333851 191304888 366667702 550001553 733335404 1100003106 1466670808 2200006212 4400012424