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4013223104 = 26115700601
BaseRepresentation
bin1110111100110100…
…1110110011000000
3101100200120212010202
43233031032303000
531204341114404
61502121144332
7201310555622
oct35715166300
911320525122
104013223104
11177a3a5a10
1294002b0a8
134bc5a1337
142a0dd6c12
151874d821e
hexef34ecc0

4013223104 has 28 divisors (see below), whose sum is σ = 8687717448. Its totient is φ = 1824192000.

The previous prime is 4013223023. The next prime is 4013223113.

4013223104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40132231042 = 32211919364958789632, 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 3 ways as a sum of consecutive naturals, for example, 2849597 + ... + 2851004.

Almost surely, 24013223104 is an apocalyptic number.

4013223104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013223104 is an abundant number, since it is smaller than the sum of its proper divisors (4674494344).

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

4013223104 is a wasteful number, since it uses less digits than its factorization.

4013223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700624 (or 5700614 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4013223104 is about 63350.0047671664. The cubic root of 4013223104 is about 1589.1483254487.

It can be divided in two parts, 40132 and 23104, that added together give a palindrome (63236).

The spelling of 4013223104 in words is "four billion, thirteen million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 5700601 11401202 22802404 45604808 62706611 91209616 125413222 182419232 250826444 364838464 501652888 1003305776 2006611552 4013223104