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42718291341 = 31129531635167
BaseRepresentation
bin100111110010001101…
…010110010110001101
311002021010000001012120
4213302031112112031
51144441340310331
631342521123153
73041412325305
oct476215262615
9132233001176
1042718291341
11171313a8610
1283423294b9
13404a2a178b
1420d3602605
1511a0481796
hex9f235658d

42718291341 has 64 divisors (see below), whose sum is σ = 65905643520. Its totient is φ = 24370295040.

The previous prime is 42718291331. The next prime is 42718291349. The reversal of 42718291341 is 14319281724.

It is not a de Polignac number, because 42718291341 - 210 = 42718290317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42718291293 and 42718291302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718291349) 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 63 ways as a sum of consecutive naturals, for example, 8264940 + ... + 8270106.

It is an arithmetic number, because the mean of its divisors is an integer number (1029775680).

Almost surely, 242718291341 is an apocalyptic number.

It is an amenable number.

42718291341 is a deficient number, since it is larger than the sum of its proper divisors (23187352179).

42718291341 is a wasteful number, since it uses less digits than its factorization.

42718291341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426.

The product of its digits is 96768, while the sum is 42.

The spelling of 42718291341 in words is "forty-two billion, seven hundred eighteen million, two hundred ninety-one thousand, three hundred forty-one".

Divisors: 1 3 11 29 33 53 87 159 163 319 489 583 957 1537 1749 1793 4611 4727 5167 5379 8639 14181 15501 16907 25917 50721 51997 56837 95029 149843 155991 170511 250531 273851 285087 449529 751593 821553 842221 1648273 2526663 2755841 3012361 4944819 7941679 8267523 9037083 9264431 23825037 24424409 27793293 44637713 73273227 87358469 133913139 262075407 268668499 491014843 806005497 1294493677 1473044529 3883481031 14239430447 42718291341