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123439330768 = 241317214332
BaseRepresentation
bin111001011110110001…
…1101011010111010000
3102210121200212201100111
41302331203223113100
54010300432041033
6132412433131104
711626640666545
oct1627543532720
9383550781314
10123439330768
1148394314246
121bb0b6b9a94
13b842901230
145d90030bcc
153326dcb7cd
hex1cbd8eb5d0

123439330768 has 90 divisors (see below), whose sum is σ = 273793830674. Its totient is φ = 53583286272.

The previous prime is 123439330741. The next prime is 123439330771. The reversal of 123439330768 is 867033934321.

It can be written as a sum of positive squares in 9 ways, for example, as 552626064 + 122886704704 = 23508^2 + 350552^2 .

It is a super-2 number, since 2×1234393307682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86139780 + ... + 86141212.

Almost surely, 2123439330768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123439330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136896915337).

123439330768 is an abundant number, since it is smaller than the sum of its proper divisors (150354499906).

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

123439330768 is an equidigital number, since it uses as much as digits as its factorization.

123439330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 123439330768 in words is "one hundred twenty-three billion, four hundred thirty-nine million, three hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1433 1768 2312 2866 3536 3757 4624 5732 7514 11464 15028 18629 22928 24361 30056 37258 48722 60112 74516 97444 149032 194888 298064 316693 389776 414137 633386 828274 1266772 1656548 2053489 2533544 3313096 4106978 5067088 5383781 6626192 8213956 10767562 16427912 21535124 26695357 32855824 34909313 43070248 53390714 69818626 86140496 106781428 139637252 213562856 279274504 427125712 453821069 558549008 593458321 907642138 1186916642 1815284276 2373833284 3630568552 4747666568 7261137104 7714958173 9495333136 15429916346 30859832692 61719665384 123439330768