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6442642031331 = 311317188701307
BaseRepresentation
bin101110111000000101101…
…1000111100001011100011
3211210220120210121120000210
41131300023120330023203
51321024012330000311
621411413041545203
71233315450462222
oct135601330741343
924726523546023
106442642031331
112064344516060
12880763945203
1337970021b92c
14183b7b3c2cb9
15b28c429c3a6
hex5dc0b63c2e3

6442642031331 has 32 divisors (see below), whose sum is σ = 9809655054336. Its totient is φ = 3725454852000.

The previous prime is 6442642031311. The next prime is 6442642031339. The reversal of 6442642031331 is 1331302462446.

6442642031331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6442642031331 - 217 = 6442641900259 is a prime.

It is a super-2 number, since 2×64426420313312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6442642031331.

It is not an unprimeable number, because it can be changed into a prime (6442642031339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44278021 + ... + 44423286.

It is an arithmetic number, because the mean of its divisors is an integer number (306551720448).

Almost surely, 26442642031331 is an apocalyptic number.

6442642031331 is a deficient number, since it is larger than the sum of its proper divisors (3367013023005).

6442642031331 is a wasteful number, since it uses less digits than its factorization.

6442642031331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88701423.

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 6442642031331 its reverse (1331302462446), we get a palindrome (7773944493777).

The spelling of 6442642031331 in words is "six trillion, four hundred forty-two billion, six hundred forty-two million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 31 33 71 93 213 341 781 1023 2201 2343 6603 24211 72633 88701307 266103921 975714377 2749740517 2927143131 6297792797 8249221551 18893378391 30247145687 69275720767 90741437061 195231576707 207827162301 585694730121 2147547343777 6442642031331