Search a number
-
+
40084976631256 = 2323332147716279
BaseRepresentation
bin10010001110101000000101…
…10010101111110111011000
312020221002022221110010222121
421013110002302233313120
520223223013004200011
6221130441204231024
711305021042353244
oct1107240262576730
9166832287403877
1040084976631256
1111854a41327947
1245b48a169b474
131949cc67685ab
149c81a2191424
15497a80077e71
hex247502cafdd8

40084976631256 has 16 divisors (see below), whose sum is σ = 75191546962800. Its totient is φ = 20033897441184.

The previous prime is 40084976631247. The next prime is 40084976631257. The reversal of 40084976631256 is 65213667948004.

40084976631256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400849766312562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40084976631194 and 40084976631203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084976631257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1073839476 + ... + 1073876803.

It is an arithmetic number, because the mean of its divisors is an integer number (4699471685175).

It is a 1-persistent number, because it is pandigital, but 2⋅40084976631256 = 80169953262512 is not.

Almost surely, 240084976631256 is an apocalyptic number.

It is an amenable number.

40084976631256 is a deficient number, since it is larger than the sum of its proper divisors (35106570331544).

40084976631256 is a wasteful number, since it uses less digits than its factorization.

40084976631256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147718618 (or 2147718614 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 40084976631256 in words is "forty trillion, eighty-four billion, nine hundred seventy-six million, six hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 2333 4666 9332 18664 2147716279 4295432558 8590865116 17181730232 5010622078907 10021244157814 20042488315628 40084976631256