Search a number
-
+
104042003141024 = 2513631313961619
BaseRepresentation
bin10111101010000000101010…
…101000111001000110100000
3111122101022121002022212121122
4113222000222220321012200
5102114111010301003044
61005140123021511412
730625533554022434
oct2752005250710640
9448338532285548
10104042003141024
1130172a69449333
12b804054412568
134609170ccab80
141b999347949c4
15c06588044dee
hex5ea02aa391a0

104042003141024 has 48 divisors (see below), whose sum is σ = 220592604566880. Its totient is φ = 48018613313280.

The previous prime is 104042003140997. The next prime is 104042003141047. The reversal of 104042003141024 is 420141300240401.

It is a super-3 number, since 3×1040420031410243 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 104042003140984 and 104042003141002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24281687 + ... + 28243305.

It is an arithmetic number, because the mean of its divisors is an integer number (4595679261810).

Almost surely, 2104042003141024 is an apocalyptic number.

It is an amenable number.

104042003141024 is an abundant number, since it is smaller than the sum of its proper divisors (116550601425856).

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

104042003141024 is a wasteful number, since it uses less digits than its factorization.

104042003141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024773 (or 4024765 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 104042003141024 its reverse (420141300240401), we get a palindrome (524183303381425).

The spelling of 104042003141024 in words is "one hundred four trillion, forty-two billion, three million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 63131 126262 252524 505048 820703 1010096 1641406 2020192 3282812 3961619 6565624 7923238 13131248 15846476 26262496 31692952 51501047 63385904 103002094 126771808 206004188 412008376 824016752 1648033504 250100969089 500201938178 1000403876356 2000807752712 3251312598157 4001615505424 6502625196314 8003231010848 13005250392628 26010500785256 52021001570512 104042003141024