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2431311330432 = 27341154427803
BaseRepresentation
bin100011011000010101011…
…100101011110010000000
322121102122021012121111210
4203120111130223302000
5304313311200033212
65100532355410120
7340441106215515
oct43302534536200
98542567177453
102431311330432
11858127953176
123332552b3940
1314836bb3ba6a
14859672cb30c
154339d6cc53c
hex2361572bc80

2431311330432 has 64 divisors (see below), whose sum is σ = 6615687123360. Its totient is φ = 790670346240.

The previous prime is 2431311330379. The next prime is 2431311330439. The reversal of 2431311330432 is 2340331131342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24313113304322 (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 2431311330432.

It is not an unprimeable number, because it can be changed into a prime (2431311330439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77198158 + ... + 77229645.

Almost surely, 22431311330432 is an apocalyptic number.

It is an amenable number.

2431311330432 is an abundant number, since it is smaller than the sum of its proper divisors (4184375792928).

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

2431311330432 is a wasteful number, since it uses less digits than its factorization.

2431311330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154427861 (or 154427849 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2431311330432 its reverse (2340331131342), we get a palindrome (4771642461774).

The spelling of 2431311330432 in words is "two trillion, four hundred thirty-one billion, three hundred eleven million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 154427803 308855606 463283409 617711212 926566818 1235422424 1853133636 2470844848 3706267272 4941689696 6331539923 7412534544 9883379392 12663079846 14825069088 18994619769 19766758784 25326159692 29650138176 37989239538 50652319384 59300276352 75978479076 101304638768 151956958152 202609277536 303913916304 405218555072 607827832608 810437110144 1215655665216 2431311330432