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1432424212140 = 2235432272445829
BaseRepresentation
bin10100110110000011001…
…000101110011010101100
312001221100002212102201210
4110312003020232122230
5141432101044242030
63014014022034420
7205326543623535
oct24660310563254
95057302772653
101432424212140
11502540140829
121b1743b78a10
13a51002b430c
144d4889b768c
15273d99e3bb0
hex14d8322e6ac

1432424212140 has 96 divisors (see below), whose sum is σ = 4122143182080. Its totient is φ = 371452790016.

The previous prime is 1432424212127. The next prime is 1432424212147. The reversal of 1432424212140 is 412124242341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1432424212098 and 1432424212107.

It is not an unprimeable number, because it can be changed into a prime (1432424212147) 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 31 ways as a sum of consecutive naturals, for example, 637255 + ... + 1808574.

It is an arithmetic number, because the mean of its divisors is an integer number (42938991480).

Almost surely, 21432424212140 is an apocalyptic number.

1432424212140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432424212140 is an abundant number, since it is smaller than the sum of its proper divisors (2689718969940).

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

1432424212140 is a wasteful number, since it uses less digits than its factorization.

1432424212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446111 (or 2446109 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1432424212140 its reverse (412124242341), we get a palindrome (1844548454481).

The spelling of 1432424212140 in words is "one trillion, four hundred thirty-two billion, four hundred twenty-four million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 227 258 430 454 516 645 681 860 908 1135 1290 1362 2270 2580 2724 3405 4540 6810 9761 13620 19522 29283 39044 48805 58566 97610 117132 146415 195220 292830 585660 2445829 4891658 7337487 9783316 12229145 14674974 24458290 29349948 36687435 48916580 73374870 105170647 146749740 210341294 315511941 420682588 525853235 555203183 631023882 1051706470 1110406366 1262047764 1577559705 1665609549 2103412940 2220812732 2776015915 3155119410 3331219098 5552031830 6310238820 6662438196 8328047745 11104063660 16656095490 23873736869 33312190980 47747473738 71621210607 95494947476 119368684345 143242421214 238737368690 286484842428 358106053035 477474737380 716212106070 1432424212140