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2024000440420 = 2257109132634367
BaseRepresentation
bin11101011100111111110…
…100111100100001100100
321011111022001220112210211
4131130333310330201210
5231130123103043140
64145451333425204
7266141421611410
oct35347764744144
97144261815724
102024000440420
11710412534a12
1228832179b204
13118b29985cca
146dd681a1d40
15379b00592ea
hex1d73fd3c864

2024000440420 has 48 divisors (see below), whose sum is σ = 4902166241280. Its totient is φ = 687576553344.

The previous prime is 2024000440417. The next prime is 2024000440453. The reversal of 2024000440420 is 240440004202.

It is a junction number, because it is equal to n+sod(n) for n = 2024000440391 and 2024000440400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66301924 + ... + 66332443.

It is an arithmetic number, because the mean of its divisors is an integer number (102128463360).

Almost surely, 22024000440420 is an apocalyptic number.

2024000440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024000440420 is an abundant number, since it is smaller than the sum of its proper divisors (2878165800860).

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

2024000440420 is a wasteful number, since it uses less digits than its factorization.

2024000440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132634492 (or 132634490 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2024000440420 its reverse (240440004202), we get a palindrome (2264440444622).

The spelling of 2024000440420 in words is "two trillion, twenty-four billion, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 15260 132634367 265268734 530537468 663171835 928440569 1326343670 1856881138 2652687340 3713762276 4642202845 9284405690 14457146003 18568811380 28914292006 57828584012 72285730015 101200022021 144571460030 202400044042 289142920060 404800088084 506000110105 1012000220210 2024000440420