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434232011212240 = 2459715590010443
BaseRepresentation
bin110001010111011101000010…
…0110001110100010111010000
32002221111011201110200022221211
41202232322010301310113100
5423403424124332242430
64135311233153425504
7160315141016161243
oct14256720461642720
92087434643608854
10434232011212240
111163a5841a1901a
12408510a5b6b294
131583ab97a3b5a7
147932d275d725a
1535305877da72a
hex18aee84c745d0

434232011212240 has 40 divisors (see below), whose sum is σ = 1010629168191648. Its totient is φ = 173513924119680.

The previous prime is 434232011212201. The next prime is 434232011212303. The reversal of 434232011212240 is 42212110232434.

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

It is a super-2 number, since 2×4342320112122402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2794927542 + ... + 2795082901.

Almost surely, 2434232011212240 is an apocalyptic number.

434232011212240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434232011212240 is an abundant number, since it is smaller than the sum of its proper divisors (576397156979408).

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

434232011212240 is a wasteful number, since it uses less digits than its factorization.

434232011212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590011427 (or 5590011421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 434232011212240 its reverse (42212110232434), we get a palindrome (476444121444674).

The spelling of 434232011212240 in words is "four hundred thirty-four trillion, two hundred thirty-two billion, eleven million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 971 1942 3884 4855 7768 9710 15536 19420 38840 77680 5590010443 11180020886 22360041772 27950052215 44720083544 55900104430 89440167088 111800208860 223600417720 447200835440 5427900140153 10855800280306 21711600560612 27139500700765 43423201121224 54279001401530 86846402242448 108558002803060 217116005606120 434232011212240