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40412410112 = 28537094201
BaseRepresentation
bin100101101000110001…
…000111000100000000
310212022102002010211002
4211220301013010000
51130231034110422
630322030111132
72630312550434
oct455061070400
9125272063732
1040412410112
111615882a948
1279ba04b4a8
133a7064a709
141d552829c4
1510b7cec692
hex968c47100

40412410112 has 72 divisors (see below), whose sum is σ = 82324491480. Its totient is φ = 19792281600.

The previous prime is 40412410091. The next prime is 40412410187. The reversal of 40412410112 is 21101421404.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 40378491136 = 5824^2 + 200944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9617612 + ... + 9621812.

It is an arithmetic number, because the mean of its divisors is an integer number (1143395715).

Almost surely, 240412410112 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 40412410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41162245740).

40412410112 is an abundant number, since it is smaller than the sum of its proper divisors (41912081368).

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

40412410112 is an equidigital number, since it uses as much as digits as its factorization.

40412410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 40412410112 its reverse (21101421404), we get a palindrome (61513831516).

The spelling of 40412410112 in words is "forty billion, four hundred twelve million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 709 848 1418 1696 2836 3392 4201 5672 6784 8402 11344 13568 16804 22688 33608 37577 45376 67216 75154 90752 134432 150308 181504 222653 268864 300616 445306 537728 601232 890612 1075456 1202464 1781224 2404928 2978509 3562448 4809856 5957018 7124896 9619712 11914036 14249792 23828072 28499584 47656144 56999168 95312288 157860977 190624576 315721954 381249152 631443908 762498304 1262887816 2525775632 5051551264 10103102528 20206205056 40412410112