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104123344314 = 231159199134369
BaseRepresentation
bin110000011111000111…
…1000010010110111010
3100221202112102221021210
41200332033002112322
53201221034004224
6115500020343550
710344162552333
oct1407617022672
9327675387253
10104123344314
1140181a05780
121821a844bb6
139a84b59352
14507a92128a
152a96226429
hex183e3c25ba

104123344314 has 64 divisors (see below), whose sum is σ = 232191360000. Its totient is φ = 30861642240.

The previous prime is 104123344279. The next prime is 104123344327. The reversal of 104123344314 is 413443321401.

It is a super-2 number, since 2×1041233443142 (a number of 23 digits) contains 22 as substring.

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, 707722 + ... + 842090.

It is an arithmetic number, because the mean of its divisors is an integer number (3627990000).

Almost surely, 2104123344314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104123344314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116095680000).

104123344314 is an abundant number, since it is smaller than the sum of its proper divisors (128068015686).

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

104123344314 is a wasteful number, since it uses less digits than its factorization.

104123344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134643.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 104123344314 its reverse (413443321401), we get a palindrome (517566665715).

The spelling of 104123344314 in words is "one hundred four billion, one hundred twenty-three million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 199 354 398 597 649 1194 1298 1947 2189 3894 4378 6567 11741 13134 23482 35223 70446 129151 134369 258302 268738 387453 403107 774906 806214 1478059 2956118 4434177 7927771 8868354 15855542 23783313 26739431 47566626 53478862 80218293 87205481 160436586 174410962 261616443 294133741 523232886 588267482 882401223 1577626429 1764802446 3155252858 4732879287 9465758574 17353890719 34707781438 52061672157 104123344314