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314022144234312 = 23331892577681651
BaseRepresentation
bin100011101100110011111101…
…0010110111101001101001000
31112011212020001011011012101000
41013121213322112331031020
5312124414322410444222
63031511440451055000
7123100231321053423
oct10731477226751510
91464766034135330
10314022144234312
119106a0529750a8
122b2777188a1460
131062b21303b497
145778a77c6c9ba
15264868387b9ac
hex11d99fa5bd348

314022144234312 has 64 divisors (see below), whose sum is σ = 872288456529600. Its totient is φ = 104673481372800.

The previous prime is 314022144234311. The next prime is 314022144234347. The reversal of 314022144234312 is 213432441220413.

314022144234312 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 2 + 214 + 4 + 2 + 3 + 431 + 2 = 666.

It is a super-2 number, since 2×3140221442343122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314022144234311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37038687 + ... + 44720337.

It is an arithmetic number, because the mean of its divisors is an integer number (13629507133275).

Almost surely, 2314022144234312 is an apocalyptic number.

It is an amenable number.

314022144234312 is an abundant number, since it is smaller than the sum of its proper divisors (558266312295288).

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

314022144234312 is a wasteful number, since it uses less digits than its factorization.

314022144234312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870923 (or 7870913 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 314022144234312 its reverse (213432441220413), we get a palindrome (527454585454725).

The spelling of 314022144234312 in words is "three hundred fourteen trillion, twenty-two billion, one hundred forty-four million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 189257 378514 567771 757028 1135542 1514056 1703313 2271084 3406626 4542168 5109939 6813252 7681651 10219878 13626504 15363302 20439756 23044953 30726604 40879512 46089906 61453208 69134859 92179812 138269718 184359624 207404577 276539436 414809154 553078872 829618308 1659236616 1453806223307 2907612446614 4361418669921 5815224893228 8722837339842 11630449786456 13084256009763 17445674679684 26168512019526 34891349359368 39252768029289 52337024039052 78505536058578 104674048078104 157011072117156 314022144234312