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2431342431 = 3271731671093
BaseRepresentation
bin1001000011101011…
…0101011101011111
320021102222222210200
42100322311131133
514434410424211
61041132034543
7114152032620
oct22072653537
96242888720
102431342431
11103847a611
1257a302a53
132c994097b
14190c9ba47
15e36b7b56
hex90eb575f

2431342431 has 96 divisors (see below), whose sum is σ = 4456378368. Its totient is φ = 1245404160.

The previous prime is 2431342367. The next prime is 2431342439. The reversal of 2431342431 is 1342431342.

It is not a de Polignac number, because 2431342431 - 26 = 2431342367 is a prime.

It is a super-2 number, since 2×24313424312 = 11822852033561979522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2431342395 and 2431342404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431342439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2223921 + ... + 2225013.

It is an arithmetic number, because the mean of its divisors is an integer number (46420608).

Almost surely, 22431342431 is an apocalyptic number.

2431342431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2431342431 is a deficient number, since it is larger than the sum of its proper divisors (2025035937).

2431342431 is a wasteful number, since it uses less digits than its factorization.

2431342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1218 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2431342431 is about 49308.6445869282. The cubic root of 2431342431 is about 1344.6689494475.

Adding to 2431342431 its reverse (1342431342), we get a palindrome (3773773773).

The spelling of 2431342431 in words is "two billion, four hundred thirty-one million, three hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 17 21 31 51 63 67 93 119 153 201 217 279 357 469 527 603 651 1071 1093 1139 1407 1581 1953 2077 3279 3417 3689 4221 4743 6231 7651 7973 9837 10251 11067 14539 18581 18693 22953 23919 33201 33883 35309 43617 55743 68859 71757 73231 101649 105927 130067 130851 167229 219693 237181 247163 304947 317781 390201 512617 576011 659079 711543 741489 1170603 1244927 1537851 1728033 2134629 2224467 2270161 3734781 4032077 4613553 5184099 6810483 8714489 11204343 12096231 15891127 20431449 26143467 36288693 38592737 47673381 78430401 115778211 143020143 270149159 347334633 810447477 2431342431