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104124402144 = 25327173038177
BaseRepresentation
bin110000011111001001…
…1000100100111100000
3100221202121102200100200
41200332103010213200
53201221321332034
6115500055145200
710344204546360
oct1407623044740
9327677380320
10104124402144
1140182568514
121821b075200
139a85139999
14507ab189a0
152a96384a99
hex183e4c49e0

104124402144 has 144 divisors (see below), whose sum is σ = 358310560608. Its totient is φ = 27999830016.

The previous prime is 104124402143. The next prime is 104124402149. The reversal of 104124402144 is 441204421401.

It is a happy number.

104124402144 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 440 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1041244021442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104124402143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484817 + ... + 1553360.

It is an arithmetic number, because the mean of its divisors is an integer number (2488267782).

Almost surely, 2104124402144 is an apocalyptic number.

104124402144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104124402144 is an abundant number, since it is smaller than the sum of its proper divisors (254186158464).

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

104124402144 is a wasteful number, since it uses less digits than its factorization.

104124402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038217 (or 3038206 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104124402144 its reverse (441204421401), we get a palindrome (545328823545).

The spelling of 104124402144 in words is "one hundred four billion, one hundred twenty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 3038177 6076354 9114531 12152708 18229062 21267239 24305416 27343593 36458124 42534478 48610832 51649009 54687186 63801717 72916248 85068956 97221664 103298018 109374372 127603434 145832496 154947027 170137912 191405151 206596036 218748744 255206868 291664992 309894054 340275824 361543063 382810302 413192072 437497488 464841081 510413736 619788108 680551648 723086126 765620604 826384144 874994976 929682162 1020827472 1084629189 1239576216 1446172252 1531241208 1652768288 1859364324 2041654944 2169258378 2479152432 2892344504 3062482416 3253887567 3718728648 4338516756 4958304864 5784689008 6124964832 6507775134 7437457296 8677033512 11569378016 13015550268 14874914592 17354067024 26031100536 34708134048 52062201072 104124402144