Search a number
-
+
422834000418 = 233471279130259
BaseRepresentation
bin1100010011100101101…
…11101101001000100010
31111102102000202202222000
412021302313231020202
523411431001003133
6522125224024430
742356135462544
oct6116267551042
91442360682860
10422834000418
11153360851925
1269b46302116
1330b471b8cab
14166729dd694
15aeeb368413
hex6272ded222

422834000418 has 64 divisors (see below), whose sum is σ = 960380928000. Its totient is φ = 137836931472.

The previous prime is 422834000411. The next prime is 422834000473. The reversal of 422834000418 is 814000438224.

It is not an unprimeable number, because it can be changed into a prime (422834000411) 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, 3180973 + ... + 3311231.

It is an arithmetic number, because the mean of its divisors is an integer number (15005952000).

Almost surely, 2422834000418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422834000418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480190464000).

422834000418 is an abundant number, since it is smaller than the sum of its proper divisors (537546927582).

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

422834000418 is a wasteful number, since it uses less digits than its factorization.

With its successor (422834000419) it forms an eRAP, since the sums of their prime factors are consecutive (131596 and 131597).

422834000418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131596 (or 131590 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 422834000418 in words is "four hundred twenty-two billion, eight hundred thirty-four million, four hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1279 2538 2558 3837 7674 11511 23022 34533 60113 69066 120226 130259 180339 260518 360678 390777 541017 781554 1082034 1172331 1623051 2344662 3246102 3516993 6122173 7033986 12244346 18366519 36733038 55099557 110199114 165298671 166601261 330597342 333202522 499803783 999607566 1499411349 2998822698 4498234047 7830259267 8996468094 15660518534 23490777801 46981555602 70472333403 140944666806 211417000209 422834000418