Search a number
-
+
24104330340040 = 23589101221330293
BaseRepresentation
bin1010111101100001110100…
…00011000010011011001000
310011100100111020002121122001
411132300322003002123020
511124411132031340130
6123133213153240344
75035323530212426
oct536607203023310
9104310436077561
1024104330340040
117753653095325
1228536b75630b4
13105b04aaa2092
145d49277a2116
152bc0203046ca
hex15ec3a0c26c8

24104330340040 has 128 divisors (see below), whose sum is σ = 55413990799200. Its totient is φ = 9434431283200.

The previous prime is 24104330340001. The next prime is 24104330340047. The reversal of 24104330340040 is 4004303340142.

It can be written as a sum of positive squares in 16 ways, for example, as 11414762273476 + 12689568066564 = 3378574^2 + 3562242^2 .

It is a super-2 number, since 2×241043303400402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24104330339990 and 24104330340008.

It is not an unprimeable number, because it can be changed into a prime (24104330340047) 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, 795691134 + ... + 795721426.

Almost surely, 224104330340040 is an apocalyptic number.

24104330340040 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 24104330340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706995399600).

24104330340040 is an abundant number, since it is smaller than the sum of its proper divisors (31309660459160).

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

24104330340040 is a wasteful number, since it uses less digits than its factorization.

24104330340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32707 (or 32703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 24104330340040 its reverse (4004303340142), we get a palindrome (28108633680182).

The spelling of 24104330340040 in words is "twenty-four trillion, one hundred four billion, three hundred thirty million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 101 178 202 356 404 445 505 712 808 890 1010 1780 2020 2213 3560 4040 4426 8852 8989 11065 17704 17978 22130 30293 35956 44260 44945 60586 71912 88520 89890 121172 151465 179780 196957 223513 242344 302930 359560 393914 447026 605860 787828 894052 984785 1117565 1211720 1575656 1788104 1969570 2235130 2696077 3059593 3939140 4470260 5392154 6119186 7878280 8940520 10784308 12238372 13480385 15297965 19892657 21568616 24476744 26960770 30595930 39785314 53921540 61191860 67038409 79570628 99463285 107843080 122383720 134076818 159141256 198926570 268153636 272303777 335192045 397853140 536307272 544607554 670384090 795706280 1089215108 1340768180 1361518885 2178430216 2681536360 2723037770 5446075540 5966418401 6770879309 10892151080 11932836802 13541758618 23865673604 27083517236 29832092005 33854396545 47731347208 54167034472 59664184010 67708793090 119328368020 135417586180 238656736040 270835172360 602608258501 1205216517002 2410433034004 3013041292505 4820866068008 6026082585010 12052165170020 24104330340040