Search a number
-
+
24042421320 = 2335417016971
BaseRepresentation
bin10110011001000010…
…100011110001001000
32022001120001112210220
4112121002203301020
5343214324440240
615013412310040
71510536131541
oct263102436110
968046045726
1024042421320
11a218357a95
1247ab912320
132362030008
14124111d4c8
1595aac05d0
hex5990a3c48

24042421320 has 128 divisors (see below), whose sum is σ = 74002481280. Its totient is φ = 6245120000.

The previous prime is 24042421259. The next prime is 24042421321. The reversal of 24042421320 is 2312424042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (24042421321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3445435 + ... + 3452405.

It is an arithmetic number, because the mean of its divisors is an integer number (578144385).

Almost surely, 224042421320 is an apocalyptic number.

24042421320 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 24042421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37001240640).

24042421320 is an abundant number, since it is smaller than the sum of its proper divisors (49960059960).

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

24042421320 is a wasteful number, since it uses less digits than its factorization.

24042421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24042421320 its reverse (2312424042), we get a palindrome (26354845362).

The spelling of 24042421320 in words is "twenty-four billion, forty-two million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 701 820 984 1230 1402 1640 2103 2460 2804 3505 4206 4920 5608 6971 7010 8412 10515 13942 14020 16824 20913 21030 27884 28040 28741 34855 41826 42060 55768 57482 69710 83652 84120 86223 104565 114964 139420 143705 167304 172446 209130 229928 278840 285811 287410 344892 418260 431115 571622 574820 689784 836520 857433 862230 1143244 1149640 1429055 1714866 1724460 2286488 2858110 3429732 3448920 4287165 4886671 5716220 6859464 8574330 9773342 11432440 14660013 17148660 19546684 24433355 29320026 34297320 39093368 48866710 58640052 73300065 97733420 117280104 146600130 195466840 200353511 293200260 400707022 586400520 601060533 801414044 1001767555 1202121066 1602828088 2003535110 2404242132 3005302665 4007070220 4808484264 6010605330 8014140440 12021210660 24042421320