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4100322440 = 235102508061
BaseRepresentation
bin1111010001100101…
…1111010010001000
3101120202110221222002
43310121133102020
531344140304230
61514512050132
7203416110554
oct36431372210
911522427862
104100322440
111814585a35
12965233948
13504648bc6
142ac7ca864
1518ee90545
hexf465f488

4100322440 has 16 divisors (see below), whose sum is σ = 9225725580. Its totient is φ = 1640128960.

The previous prime is 4100322439. The next prime is 4100322451. The reversal of 4100322440 is 442230014.

4100322440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3961695364 + 138627076 = 62942^2 + 11774^2 .

It is a super-2 number, since 2×41003224402 = 33625288223935107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51253991 + ... + 51254070.

Almost surely, 24100322440 is an apocalyptic number.

4100322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100322440 is an abundant number, since it is smaller than the sum of its proper divisors (5125403140).

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

4100322440 is a wasteful number, since it uses less digits than its factorization.

4100322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102508072 (or 102508068 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4100322440 is about 64033.7601582165. The cubic root of 4100322440 is about 1600.5626198470.

Adding to 4100322440 its reverse (442230014), we get a palindrome (4542552454).

The spelling of 4100322440 in words is "four billion, one hundred million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 102508061 205016122 410032244 512540305 820064488 1025080610 2050161220 4100322440