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2434421244240 = 2432516720246351
BaseRepresentation
bin100011011011001110110…
…100000100000101010000
322121201200000001121020200
4203123032310010011100
5304341143314303430
65102205131535200
7340611141103566
oct43331664040520
98551600047220
102434421244240
11859483366477
123339828ba500
1314874622834b
1485b80345a36
15434d1733460
hex236ced04150

2434421244240 has 120 divisors (see below), whose sum is σ = 8224554094848. Its totient is φ = 645291667200.

The previous prime is 2434421244209. The next prime is 2434421244247. The reversal of 2434421244240 is 424421244342.

2434421244240 is a `hidden beast` number, since 2 + 434 + 4 + 212 + 4 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2434421244195 and 2434421244204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434421244247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10002936 + ... + 10243415.

Almost surely, 22434421244240 is an apocalyptic number.

2434421244240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434421244240 is an abundant number, since it is smaller than the sum of its proper divisors (5790132850608).

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

2434421244240 is a wasteful number, since it uses less digits than its factorization.

2434421244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246537 (or 20246528 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 2434421244240 its reverse (424421244342), we get a palindrome (2858842488582).

The spelling of 2434421244240 in words is "two trillion, four hundred thirty-four billion, four hundred twenty-one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2505 2672 3006 3340 4008 5010 6012 6680 7515 8016 10020 12024 13360 15030 20040 24048 30060 40080 60120 120240 20246351 40492702 60739053 80985404 101231755 121478106 161970808 182217159 202463510 242956212 303695265 323941616 364434318 404927020 485912424 607390530 728868636 809854040 911085795 971824848 1214781060 1457737272 1619708080 1822171590 2429562120 2915474544 3381140617 3644343180 4859124240 6762281234 7288686360 10143421851 13524562468 14577372720 16905703085 20286843702 27049124936 30430265553 33811406170 40573687404 50717109255 54098249872 60860531106 67622812340 81147374808 101434218510 121721062212 135245624680 152151327765 162294749616 202868437020 243442124424 270491249360 304302655530 405736874040 486884248848 608605311060 811473748080 1217210622120 2434421244240