Search a number
-
+
42066170512353 = 3213438361393463
BaseRepresentation
bin10011001000010010010110…
…01001101000001111100001
312111221111010202021011200100
421210021023021220033201
521003203004122343403
6225244533145013013
711601115630446321
oct1144111311501741
9174844122234610
1042066170512353
11124491876561a9
124874857484169
131a61a90a86350
14a56029135281
154ce3870172a3
hex26424b2683e1

42066170512353 has 24 divisors (see below), whose sum is σ = 66958038859712. Its totient is φ = 25284853829088.

The previous prime is 42066170512351. The next prime is 42066170512361. The reversal of 42066170512353 is 35321507166024.

42066170512353 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 61 + 70 + 512 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 42066170512353 - 21 = 42066170512351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42066170512299 and 42066170512308.

It is not an unprimeable number, because it can be changed into a prime (42066170512351) 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, 4180691701 + ... + 4180701762.

Almost surely, 242066170512353 is an apocalyptic number.

42066170512353 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42066170512353 is a deficient number, since it is larger than the sum of its proper divisors (24891868347359).

42066170512353 is a wasteful number, since it uses less digits than its factorization.

42066170512353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361393525 (or 8361393522 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 42066170512353 its reverse (35321507166024), we get a palindrome (77387677678377).

The spelling of 42066170512353 in words is "forty-two trillion, sixty-six billion, one hundred seventy million, five hundred twelve thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 8361393463 25084180389 75252541167 108698115019 326094345057 359539918909 978283035171 1078619756727 3235859270181 4674018945817 14022056837451 42066170512353