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431430134143421 = 74710964118768521
BaseRepresentation
bin110001000011000100010011…
…1111001000001100110111101
32002120120022120211122202122202
41202012020213321001212331
5423022022403320042141
64125324133440121245
7156605540625066260
oct14206104771014675
92076508524582582
10431430134143421
111155155463aa9a6
124047a073006225
13156968c169565a
1478774893a6cd7
1534d274b83c49b
hex1886227e419bd

431430134143421 has 32 divisors (see below), whose sum is σ = 508966281077760. Its totient is φ = 358049308262400.

The previous prime is 431430134143403. The next prime is 431430134143423. The reversal of 431430134143421 is 124341431034134.

It is a cyclic number.

It is not a de Polignac number, because 431430134143421 - 26 = 431430134143357 is a prime.

It is a super-3 number, since 3×4314301341434213 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431430134143423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13602641 + ... + 32371161.

It is an arithmetic number, because the mean of its divisors is an integer number (15905196283680).

Almost surely, 2431430134143421 is an apocalyptic number.

It is an amenable number.

431430134143421 is a deficient number, since it is larger than the sum of its proper divisors (77536146934339).

431430134143421 is a wasteful number, since it uses less digits than its factorization.

431430134143421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769325.

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 431430134143421 its reverse (124341431034134), we get a palindrome (555771565177555).

The spelling of 431430134143421 in words is "four hundred thirty-one trillion, four hundred thirty billion, one hundred thirty-four million, one hundred forty-three thousand, four hundred twenty-one".

Divisors: 1 7 47 109 329 641 763 4487 5123 30127 35861 69869 210889 489083 3283843 18768521 22986901 131379647 882120487 2045768789 6174843409 12030621961 14320381523 84214353727 96151133083 565439232167 673057931581 1311337793749 3958074625169 9179364556243 61632876306203 431430134143421