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1430323014432 = 253131146092159
BaseRepresentation
bin10100110100000101111…
…001010010101100100000
312001201220200002112100110
4110310011321102230200
5141413300142430212
63013025322051320
7205223511010644
oct24640571225440
95051820075313
101430323014432
115016620648a4
121b1258349b40
13a4b56b97270
144d3298d8c24
15273152e1a3c
hex14d05e52b20

1430323014432 has 48 divisors (see below), whose sum is σ = 4043413140480. Its totient is φ = 440099388672.

The previous prime is 1430323014413. The next prime is 1430323014437. The reversal of 1430323014432 is 2344103230341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14303230144322 (a number of 25 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 1430323014432.

It is not an unprimeable number, because it can be changed into a prime (1430323014437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573044832 + ... + 573047327.

It is an arithmetic number, because the mean of its divisors is an integer number (84237773760).

Almost surely, 21430323014432 is an apocalyptic number.

1430323014432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1430323014432 is an abundant number, since it is smaller than the sum of its proper divisors (2613090126048).

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

1430323014432 is a wasteful number, since it uses less digits than its factorization.

1430323014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146092185 (or 1146092177 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1430323014432 its reverse (2344103230341), we get a palindrome (3774426244773).

The spelling of 1430323014432 in words is "one trillion, four hundred thirty billion, three hundred twenty-three million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1146092159 2292184318 3438276477 4584368636 6876552954 9168737272 13753105908 14899198067 18337474544 27506211816 29798396134 36674949088 44697594201 55012423632 59596792268 89395188402 110024847264 119193584536 178790376804 238387169072 357580753608 476774338144 715161507216 1430323014432