Search a number
-
+
104404004235 = 32514995316339
BaseRepresentation
bin110000100111011110…
…1101010110110001011
3100222111002112221022200
41201032331222312023
53202304411113420
6115543524051243
710354141251666
oct1411675526613
9328432487280
10104404004235
114030637a723
1218298833b23
139acb0451cb
1450a5cdc6dd
152ab0bb4b90
hex184ef6ad8b

104404004235 has 48 divisors (see below), whose sum is σ = 182383812000. Its totient is φ = 55247012352.

The previous prime is 104404004197. The next prime is 104404004251. The reversal of 104404004235 is 532400404401.

It is a happy number.

It is not a de Polignac number, because 104404004235 - 212 = 104404000139 is a prime.

It is a super-2 number, since 2×1044040042352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104404004199 and 104404004208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6381696 + ... + 6398034.

It is an arithmetic number, because the mean of its divisors is an integer number (3799662750).

Almost surely, 2104404004235 is an apocalyptic number.

104404004235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104404004235 is a deficient number, since it is larger than the sum of its proper divisors (77979807765).

104404004235 is a wasteful number, since it uses less digits than its factorization.

104404004235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 104404004235 its reverse (532400404401), we get a palindrome (636804408636).

The spelling of 104404004235 in words is "one hundred four billion, four hundred four million, four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 45 149 447 745 953 1341 2235 2859 4765 6705 8577 14295 16339 42885 49017 81695 141997 147051 245085 425991 709985 735255 1277973 2129955 2434511 6389865 7303533 12172555 15571067 21910599 36517665 46713201 77855335 109552995 140139603 233566005 700698015 2320088983 6960266949 11600444915 20880800847 34801334745 104404004235