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4004311412 = 2241159715289
BaseRepresentation
bin1110111010101100…
…1111000101110100
3101100001211002121002
43232223033011310
531200100431122
61501202142432
7201142041203
oct35653170564
911301732532
104004311412
111775369482
12939051a18
134ba7a0c4a
1429db5723a
15186827992
hexeeacf174

4004311412 has 24 divisors (see below), whose sum is σ = 7183425480. Its totient is φ = 1951971840.

The previous prime is 4004311391. The next prime is 4004311429. The reversal of 4004311412 is 2141134004.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 4003599076 = 844^2 + 63274^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254264 + ... + 269552.

It is an arithmetic number, because the mean of its divisors is an integer number (299309395).

Almost surely, 24004311412 is an apocalyptic number.

It is an amenable number.

4004311412 is a deficient number, since it is larger than the sum of its proper divisors (3179114068).

4004311412 is a wasteful number, since it uses less digits than its factorization.

4004311412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16931 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4004311412 is about 63279.6287283672. The cubic root of 4004311412 is about 1587.9711755095.

Adding to 4004311412 its reverse (2141134004), we get a palindrome (6145445416).

The spelling of 4004311412 in words is "four billion, four million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 41 82 164 1597 3194 6388 15289 30578 61156 65477 130954 261908 626849 1253698 2507396 24416533 48833066 97666132 1001077853 2002155706 4004311412