Search a number
-
+
104032044204 = 2231117316314657
BaseRepresentation
bin110000011100011001…
…0110000010010101100
3100221112011122102002020
41200320302300102230
53201024200403304
6115442555430140
710342003533264
oct1407062602254
9327464572066
10104032044204
1140135416640
12181b4155350
139a6bc7070a
14506c7567a4
152a8d1de5d9
hex1838cb04ac

104032044204 has 96 divisors (see below), whose sum is σ = 280493611776. Its totient is φ = 29659054080.

The previous prime is 104032044173. The next prime is 104032044223. The reversal of 104032044204 is 402440230401.

It is a happy number.

104032044204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7090444 + ... + 7105100.

It is an arithmetic number, because the mean of its divisors is an integer number (2921808456).

Almost surely, 2104032044204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104032044204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140246805888).

104032044204 is an abundant number, since it is smaller than the sum of its proper divisors (176461567572).

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

104032044204 is a wasteful number, since it uses less digits than its factorization.

104032044204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17853 counting only the distinct ones).

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

Adding to 104032044204 its reverse (402440230401), we get a palindrome (506472274605).

The spelling of 104032044204 in words is "one hundred four billion, thirty-two million, forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3163 6326 9489 12652 14657 18978 29314 34793 37956 43971 53771 58628 69586 87942 104379 107542 139172 161227 161313 175884 208758 215084 249169 322454 322626 417516 483681 498338 591481 644908 645252 747507 967362 996676 1182962 1495014 1774443 1934724 2365924 2740859 2990028 3548886 5481718 7097772 8222577 10963436 16445154 32890308 46360091 92720182 139080273 185440364 278160546 509961001 556321092 788121547 1019922002 1529883003 1576243094 2039844004 2364364641 3059766006 3152486188 4728729282 6119532012 8669337017 9457458564 17338674034 26008011051 34677348068 52016022102 104032044204