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311042040414 = 237191126134613
BaseRepresentation
bin1001000011010111000…
…11001110001001011110
31002201212001110210120220
410201223203032021132
520044003230243124
6354520222222210
731320624502110
oct4415343161136
91081761423526
10311042040414
1110aa04139736
1250347424966
132343c685731
14110a98373b0
158156ca4879
hex486b8ce25e

311042040414 has 64 divisors (see below), whose sum is σ = 748459906560. Its totient is φ = 84181921920.

The previous prime is 311042040403. The next prime is 311042040457. The reversal of 311042040414 is 414040240113.

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 31 ways as a sum of consecutive naturals, for example, 8968972 + ... + 9003584.

It is an arithmetic number, because the mean of its divisors is an integer number (11694686040).

Almost surely, 2311042040414 is an apocalyptic number.

311042040414 is an abundant number, since it is smaller than the sum of its proper divisors (437417866146).

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

311042040414 is a wasteful number, since it uses less digits than its factorization.

311042040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45905.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 311042040414 its reverse (414040240113), we get a palindrome (725082280527).

The spelling of 311042040414 in words is "three hundred eleven billion, forty-two million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 11261 22522 33783 34613 67566 69226 78827 103839 157654 207678 213959 236481 242291 427918 472962 484582 641877 657647 726873 1283754 1315294 1453746 1497713 1972941 2995426 3945882 4493139 4603529 8986278 9207058 13810587 27621174 389776993 779553986 1169330979 2338661958 2728438951 5456877902 7405762867 8185316853 14811525734 16370633706 22217288601 44434577202 51840340069 103680680138 155521020207 311042040414