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340431312242412 = 223223595616902989
BaseRepresentation
bin100110101100111101101011…
…1011011111100011011101100
31122122100220201110221200201100
41031121323113123330123230
5324110111311413224122
63204011552534443100
7131464231163233236
oct11531732733743354
91578326643850640
10340431312242412
119952112180a086
1232221a51803490
13117c56c55060b1
14600cd6b909256
1529555eddaaaac
hex1359ed76fc6ec

340431312242412 has 72 divisors (see below), whose sum is σ = 897964464589920. Its totient is φ = 108541478833920.

The previous prime is 340431312242401. The next prime is 340431312242419. The reversal of 340431312242412 is 214242213134043.

340431312242412 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 3 + 13 + 1 + 224 + 2 + 412 = 666.

It is a super-2 number, since 2×3404313122424122 (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 (340431312242419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45865014 + ... + 52768002.

It is an arithmetic number, because the mean of its divisors is an integer number (12471728674860).

Almost surely, 2340431312242412 is an apocalyptic number.

It is an amenable number.

340431312242412 is an abundant number, since it is smaller than the sum of its proper divisors (557533152347508).

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

340431312242412 is a wasteful number, since it uses less digits than its factorization.

340431312242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962583 (or 6962578 counting only the distinct ones).

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

Adding to 340431312242412 its reverse (214242213134043), we get a palindrome (554673525376455).

The spelling of 340431312242412 in words is "three hundred forty trillion, four hundred thirty-one billion, three hundred twelve million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 59561 119122 178683 238244 357366 536049 714732 1072098 1369903 2144196 2739806 4109709 5479612 6902989 8219418 12329127 13805978 16438836 20708967 24658254 27611956 41417934 49316508 62126901 82835868 124253802 158768747 248507604 317537494 476306241 635074988 952612482 1428918723 1905224964 2857837446 5715674892 411148927829 822297855658 1233446783487 1644595711316 2466893566974 3700340350461 4933787133948 7400680700922 9456425340067 14801361401844 18912850680134 28369276020201 37825701360268 56738552040402 85107828060603 113477104080804 170215656121206 340431312242412