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42180379343 = 233433418087
BaseRepresentation
bin100111010010001001…
…011000001011001111
311000212121211021122222
4213102021120023033
51142341134114333
631213303525555
73022161210614
oct472211301317
9130777737588
1042180379343
11169857a7343
1282121598bb
133c92a0435b
142081dbc50b
15116d12a298
hex9d22582cf

42180379343 has 8 divisors (see below), whose sum is σ = 42459344928. Its totient is φ = 41902251264.

The previous prime is 42180379337. The next prime is 42180379349. The reversal of 42180379343 is 34397308124.

It is an interprime number because it is at equal distance from previous prime (42180379337) and next prime (42180379349).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42180379343 - 212 = 42180375247 is a prime.

It is a super-2 number, since 2×421803793432 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42180379294 and 42180379303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180379349) 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, 108155 + ... + 309932.

It is an arithmetic number, because the mean of its divisors is an integer number (5307418116).

Almost surely, 242180379343 is an apocalyptic number.

42180379343 is a deficient number, since it is larger than the sum of its proper divisors (278965585).

42180379343 is a wasteful number, since it uses less digits than its factorization.

42180379343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418753.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 42180379343 in words is "forty-two billion, one hundred eighty million, three hundred seventy-nine thousand, three hundred forty-three".

Divisors: 1 233 433 100889 418087 97414271 181031671 42180379343