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4036142331 = 33132884537
BaseRepresentation
bin1111000010010010…
…1010010011111011
3101102021201021102000
43300210222103323
531231223023311
61504300312043
7202006433544
oct36044522373
911367637360
104036142331
11179132a521
12947842623
134c4267400
142a40814cb
15189514056
hexf092a4fb

4036142331 has 24 divisors (see below), whose sum is σ = 6474818160. Its totient is φ = 2483777088.

The previous prime is 4036142323. The next prime is 4036142351. The reversal of 4036142331 is 1332416304.

4036142331 is a `hidden beast` number, since 40 + 3 + 614 + 2 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 4036142331 - 23 = 4036142323 is a prime.

It is a super-2 number, since 2×40361423312 = 32580889832180227122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4036142295 and 4036142304.

It is not an unprimeable number, because it can be changed into a prime (4036142351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 437706 + ... + 446831.

It is an arithmetic number, because the mean of its divisors is an integer number (269784090).

Almost surely, 24036142331 is an apocalyptic number.

4036142331 is a deficient number, since it is larger than the sum of its proper divisors (2438675829).

4036142331 is a wasteful number, since it uses less digits than its factorization.

4036142331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884572 (or 884553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4036142331 is about 63530.6408829629. The cubic root of 4036142331 is about 1592.1677552058.

Adding to 4036142331 its reverse (1332416304), we get a palindrome (5368558635).

The spelling of 4036142331 in words is "four billion, thirty-six million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 4563 884537 2653611 7960833 11498981 23882499 34496943 103490829 149486753 310472487 448460259 1345380777 4036142331