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2024142010 = 25111943101223
BaseRepresentation
bin111100010100101…
…1111010010111010
312020001210001211121
41320221133102322
513121140021020
6532504215454
7101105631442
oct17051372272
95201701747
102024142010
11949636940
12485a6a58a
1326347ab87
14152b81122
15bca80baa
hex78a5f4ba

2024142010 has 128 divisors (see below), whose sum is σ = 4342947840. Its totient is φ = 671328000.

The previous prime is 2024141989. The next prime is 2024142013. The reversal of 2024142010 is 102414202.

It is not an unprimeable number, because it can be changed into a prime (2024142013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9076759 + ... + 9076981.

It is an arithmetic number, because the mean of its divisors is an integer number (33929280).

Almost surely, 22024142010 is an apocalyptic number.

2024142010 is an abundant number, since it is smaller than the sum of its proper divisors (2318805830).

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

2024142010 is a wasteful number, since it uses less digits than its factorization.

2024142010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2024142010 is about 44990.4657677602. The cubic root of 2024142010 is about 1264.9702920216.

Adding to 2024142010 its reverse (102414202), we get a palindrome (2126556212).

The spelling of 2024142010 in words is "two billion, twenty-four million, one hundred forty-two thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 43 55 86 95 101 110 190 202 209 215 223 418 430 446 473 505 817 946 1010 1045 1111 1115 1634 1919 2090 2222 2230 2365 2453 3838 4085 4237 4343 4730 4906 5555 8170 8474 8686 8987 9589 9595 11110 12265 17974 19178 19190 21109 21185 21715 22523 24530 42218 42370 43430 44935 45046 46607 47773 47945 82517 89870 93214 95546 95890 105479 105545 112615 165034 182191 210958 211090 225230 233035 238865 247753 364382 412585 427937 466070 477730 495506 527395 825170 855874 907687 910955 968489 1054790 1238765 1815374 1821910 1936978 2004101 2139685 2477530 4008202 4279370 4538435 4707307 4842445 9076870 9414614 9684890 10020505 10653379 18401291 20041010 21306758 23536535 36802582 47073070 53266895 92006455 106533790 184012910 202414201 404828402 1012071005 2024142010