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311422042422 = 2322910923922901
BaseRepresentation
bin1001000100000100011…
…00110100000100110110
31002202211112111220100100
410202002030310010312
520100243020324142
6355022035054530
731333220453511
oct4420214640466
91082745456310
10311422042422
11110089695887
1250432741446
13234a03147aa
14111040b3d78
15817a317b4c
hex4882334136

311422042422 has 96 divisors (see below), whose sum is σ = 707396976000. Its totient is φ = 98888428800.

The previous prime is 311422042249. The next prime is 311422042439. The reversal of 311422042422 is 224240224113.

It is a happy number.

311422042422 is a `hidden beast` number, since 3 + 1 + 14 + 220 + 4 + 2 + 422 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13587172 + ... + 13610072.

It is an arithmetic number, because the mean of its divisors is an integer number (7368718500).

Almost surely, 2311422042422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311422042422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353698488000).

311422042422 is an abundant number, since it is smaller than the sum of its proper divisors (395974933578).

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

311422042422 is a wasteful number, since it uses less digits than its factorization.

311422042422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23286 (or 23283 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 311422042422 its reverse (224240224113), we get a palindrome (535662266535).

The spelling of 311422042422 in words is "three hundred eleven billion, four hundred twenty-two million, forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 109 174 218 239 261 327 478 522 654 717 981 1434 1962 2151 3161 4302 6322 6931 9483 13862 18966 20793 22901 26051 28449 41586 45802 52102 56898 62379 68703 78153 124758 137406 156306 206109 234459 412218 468918 664129 755479 1328258 1510958 1992387 2266437 2496209 3984774 4532874 4992418 5473339 5977161 6799311 7488627 10946678 11954322 13598622 14977254 16420017 22465881 32840034 44931762 49260051 72390061 98520102 144780122 158726831 217170183 317453662 434340366 476180493 596593951 651510549 952360986 1193187902 1303021098 1428541479 1789781853 2857082958 3579563706 5369345559 10738691118 17301224579 34602449158 51903673737 103807347474 155711021211 311422042422