Search a number
-
+
31383034641 = 32723109198701
BaseRepresentation
bin11101001110100100…
…110001101100010001
310000000010201100020100
4131032210301230101
51003233024102031
622230035203013
72160462251550
oct351644615421
9100003640210
1031383034641
11123449a5472
1260ba146469
132c61a837aa
141739dc1d97
15c3a26bde6
hex74e931b11

31383034641 has 48 divisors (see below), whose sum is σ = 54555621120. Its totient is φ = 16996003200.

The previous prime is 31383034607. The next prime is 31383034679. The reversal of 31383034641 is 14643038313.

31383034641 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 3 + 0 + 3 + 4 + 641 = 666.

It is not a de Polignac number, because 31383034641 - 219 = 31382510353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31383034596 and 31383034605.

It is not an unprimeable number, because it can be changed into a prime (31383034601) 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 47 ways as a sum of consecutive naturals, for example, 58591 + ... + 257291.

It is an arithmetic number, because the mean of its divisors is an integer number (1136575440).

Almost surely, 231383034641 is an apocalyptic number.

It is an amenable number.

31383034641 is a deficient number, since it is larger than the sum of its proper divisors (23172586479).

31383034641 is a wasteful number, since it uses less digits than its factorization.

31383034641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198846 (or 198843 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 31383034641 in words is "thirty-one billion, three hundred eighty-three million, thirty-four thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 23 63 69 109 161 207 327 483 763 981 1449 2289 2507 6867 7521 17549 22563 52647 157941 198701 596103 1390907 1788309 4172721 4570123 12518163 13710369 21658409 31990861 41131107 64975227 95972583 151608863 194925681 287917749 454826589 498143407 1364479767 1494430221 3487003849 4483290663 10461011547 31383034641