Search a number
-
+
104142233034 = 23371028926777
BaseRepresentation
bin110000011111101011…
…1000101110111001010
3100221210211222120202000
41200333113011313022
53201240402424114
6115501533251430
710344512242440
oct1407727056712
9327724876660
10104142233034
1140191637094
1218225033b76
139a88a409c8
14507d23ab90
152a97c07e09
hex183f5c5dca

104142233034 has 64 divisors (see below), whose sum is σ = 264523795200. Its totient is φ = 29750920704.

The previous prime is 104142233033. The next prime is 104142233047. The reversal of 104142233034 is 430332241401.

104142233034 is a `hidden beast` number, since 10 + 414 + 2 + 233 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104142232989 and 104142233007.

It is not an unprimeable number, because it can be changed into a prime (104142233033) 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, 3875854 + ... + 3902630.

It is an arithmetic number, because the mean of its divisors is an integer number (4133184300).

Almost surely, 2104142233034 is an apocalyptic number.

104142233034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104142233034 is an abundant number, since it is smaller than the sum of its proper divisors (160381562166).

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

104142233034 is a wasteful number, since it uses less digits than its factorization.

104142233034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37084 (or 37078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104142233034 its reverse (430332241401), we get a palindrome (534474474435).

The spelling of 104142233034 in words is "one hundred four billion, one hundred forty-two million, two hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10289 20578 26777 30867 53554 61734 72023 80331 92601 144046 160662 185202 187439 216069 240993 277803 374878 432138 481986 555606 562317 648207 722979 1124634 1296414 1445958 1686951 1944621 3373902 3889242 5060853 10121706 275508553 551017106 826525659 1653051318 1928559871 2479576977 3857119742 4959153954 5785679613 7438730931 11571359226 14877461862 17357038839 34714077678 52071116517 104142233034