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34042421040 = 2435141843421
BaseRepresentation
bin11111101101000101…
…100001111100110000
310020212110211011112220
4133231011201330300
51024204324433130
623345555121040
72313413542635
oct375505417460
9106773734486
1034042421040
111348a071871
1267208a3180
133296a1a304
14190d28218c
15d4397d410
hex7ed161f30

34042421040 has 40 divisors (see below), whose sum is σ = 105531505968. Its totient is φ = 9077978880.

The previous prime is 34042421027. The next prime is 34042421051. The reversal of 34042421040 is 4012424043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34042421040.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70921471 + ... + 70921950.

Almost surely, 234042421040 is an apocalyptic number.

34042421040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042421040 is an abundant number, since it is smaller than the sum of its proper divisors (71489084928).

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

34042421040 is a wasteful number, since it uses less digits than its factorization.

34042421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141843437 (or 141843431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34042421040 its reverse (4012424043), we get a palindrome (38054845083).

The spelling of 34042421040 in words is "thirty-four billion, forty-two million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 141843421 283686842 425530263 567373684 709217105 851060526 1134747368 1418434210 1702121052 2127651315 2269494736 2836868420 3404242104 4255302630 5673736840 6808484208 8510605260 11347473680 17021210520 34042421040