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1231431141312 = 26327329286319
BaseRepresentation
bin10001111010110111000…
…001000000011111000000
311100201112112221112011100
4101322313001000133000
5130133432333010222
62341413415014400
7154653003665361
oct21726701003700
94321475845140
101231431141312
11435279859839
1217a7ab96a400
138c17b312b88
144385ca6db68
15220742ab4ac
hex11eb70407c0

1231431141312 has 84 divisors (see below), whose sum is σ = 3578026859680. Its totient is φ = 404854060032.

The previous prime is 1231431141263. The next prime is 1231431141329. The reversal of 1231431141312 is 2131411341321.

1231431141312 is a `hidden beast` number, since 1 + 2 + 31 + 4 + 311 + 4 + 1 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14601112 + ... + 14685207.

Almost surely, 21231431141312 is an apocalyptic number.

1231431141312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1231431141312 is an abundant number, since it is smaller than the sum of its proper divisors (2346595718368).

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

1231431141312 is a wasteful number, since it uses less digits than its factorization.

1231431141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29286410 (or 29286397 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1231431141312 its reverse (2131411341321), we get a palindrome (3362842482633).

The spelling of 1231431141312 in words is "one trillion, two hundred thirty-one billion, four hundred thirty-one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 21024 42048 29286319 58572638 87858957 117145276 175717914 234290552 263576871 351435828 468581104 527153742 702871656 937162208 1054307484 1405743312 1874324416 2108614968 2137901287 2811486624 4217229936 4275802574 5622973248 6413703861 8434459872 8551605148 12827407722 16868919744 17103210296 19241111583 25654815444 34206420592 38482223166 51309630888 68412841184 76964446332 102619261776 136825682368 153928892664 205238523552 307857785328 410477047104 615715570656 1231431141312