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311431244400430 = 257111908112119669
BaseRepresentation
bin100011011001111101011110…
…0101100011100011100101110
31111211200112110220000122000021
41012303322330230130130232
5311304442142031303210
63022205312155552354
7122412110362615030
oct10663727454343456
91454615426018007
10311431244400430
1190260281517270
122ab1956575b6ba
13104a0ac029b1bb
1456c94d1985c50
1526010948e6bda
hex11b3ebcb1c72e

311431244400430 has 64 divisors (see below), whose sum is σ = 698904239685120. Its totient is φ = 97068924259200.

The previous prime is 311431244400421. The next prime is 311431244400503. The reversal of 311431244400430 is 34004442134113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145864636 + ... + 147984304.

It is an arithmetic number, because the mean of its divisors is an integer number (10920378745080).

Almost surely, 2311431244400430 is an apocalyptic number.

311431244400430 is an abundant number, since it is smaller than the sum of its proper divisors (387472995284690).

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

311431244400430 is a wasteful number, since it uses less digits than its factorization.

311431244400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310505.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 311431244400430 its reverse (34004442134113), we get a palindrome (345435686534543).

The spelling of 311431244400430 in words is "three hundred eleven trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 190811 381622 954055 1335677 1908110 2098921 2119669 2671354 4197842 4239338 6678385 10494605 10598345 13356770 14692447 14837683 20989210 21196690 23316359 29384894 29675366 46632718 73462235 74188415 116581795 146924470 148376830 163214513 233163590 326429026 816072565 1632145130 404456161559 808912323118 2022280807795 2831193130913 4044561615590 4449017777149 5662386261826 8898035554298 14155965654565 22245088885745 28311931309130 31143124440043 44490177771490 62286248880086 155715622200215 311431244400430