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42353354340 = 223251121390583
BaseRepresentation
bin100111011100011101…
…001110011001100100
311001022200022022202100
4213130131032121210
51143214424314330
631242403212100
73026361400113
oct473435163144
9131280268670
1042353354340
1116a64400a90
128260077030
133cbc7b881b
14209ad67c7a
15117d3e7060
hex9dc74e664

42353354340 has 72 divisors (see below), whose sum is σ = 140151106368. Its totient is φ = 10267479360.

The previous prime is 42353354299. The next prime is 42353354341. The reversal of 42353354340 is 4345335324.

42353354340 is a `hidden beast` number, since 4 + 23 + 53 + 3 + 543 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42353354295 and 42353354304.

It is not an unprimeable number, because it can be changed into a prime (42353354341) 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 23 ways as a sum of consecutive naturals, for example, 10693312 + ... + 10697271.

It is an arithmetic number, because the mean of its divisors is an integer number (1946543144).

Almost surely, 242353354340 is an apocalyptic number.

It is an amenable number.

42353354340 is an abundant number, since it is smaller than the sum of its proper divisors (97797752028).

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

42353354340 is a wasteful number, since it uses less digits than its factorization.

42353354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21390609 (or 21390604 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 42353354340 its reverse (4345335324), we get a palindrome (46698689664).

It can be divided in two parts, 42353 and 354340, that added together give a palindrome (396693).

The spelling of 42353354340 in words is "forty-two billion, three hundred fifty-three million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21390583 42781166 64171749 85562332 106952915 128343498 192515247 213905830 235296413 256686996 320858745 385030494 427811660 470592826 641717490 705889239 770060988 941185652 962576235 1176482065 1283434980 1411778478 1925152470 2117667717 2352964130 2823556956 3529446195 3850304940 4235335434 4705928260 7058892390 8470670868 10588338585 14117784780 21176677170 42353354340