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2320231412040 = 2335107191946091
BaseRepresentation
bin100001110000111000100…
…100011011000101001000
322012210220220202002121020
4201300320210123011020
5301003313220141130
64533522151312440
7326426332411113
oct41607044330510
98183826662536
102320231412040
11815006164423
1231581497b720
1313aa489a27b9
148042a91557a
154054b8b8e10
hex21c3891b148

2320231412040 has 128 divisors (see below), whose sum is σ = 7062538936320. Its totient is φ = 609736083200.

The previous prime is 2320231412039. The next prime is 2320231412123. The reversal of 2320231412040 is 402141320232.

It is a happy number.

It is a super-3 number, since 3×23202314120403 (a number of 38 digits) contains 333 as substring.

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 2320231412040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979395 + ... + 2925485.

It is an arithmetic number, because the mean of its divisors is an integer number (55176085440).

Almost surely, 22320231412040 is an apocalyptic number.

2320231412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320231412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531269468160).

2320231412040 is an abundant number, since it is smaller than the sum of its proper divisors (4742307524280).

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

2320231412040 is a wasteful number, since it uses less digits than its factorization.

2320231412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946403 (or 946399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2320231412040 its reverse (402141320232), we get a palindrome (2722372732272).

The spelling of 2320231412040 in words is "two trillion, three hundred twenty billion, two hundred thirty-one million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 191 214 321 382 428 535 573 642 764 856 955 1070 1146 1284 1528 1605 1910 2140 2292 2568 2865 3210 3820 4280 4584 5730 6420 7640 11460 12840 20437 22920 40874 61311 81748 102185 122622 163496 204370 245244 306555 408740 490488 613110 817480 946091 1226220 1892182 2452440 2838273 3784364 4730455 5676546 7568728 9460910 11353092 14191365 18921820 22706184 28382730 37843640 56765460 101231737 113530920 180703381 202463474 303695211 361406762 404926948 506158685 542110143 607390422 722813524 809853896 903516905 1012317370 1084220286 1214780844 1445627048 1518476055 1807033810 2024634740 2168440572 2429561688 2710550715 3036952110 3614067620 4049269480 4336881144 5421101430 6073904220 7228135240 10842202860 12147808440 19335261767 21684405720 38670523534 58005785301 77341047068 96676308835 116011570602 154682094136 193352617670 232023141204 290028926505 386705235340 464046282408 580057853010 773410470680 1160115706020 2320231412040