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104104401444 = 22349725712889
BaseRepresentation
bin110000011110100011…
…0110001101000100100
3100221201012210112120000
41200331012301220210
53201201211321234
6115454102341300
710343542545321
oct1407506615044
9327635715500
10104104401444
114017224770a
121821442a830
139a80c56154
1450781cdb48
152a94733899
hex183d1b1a24

104104401444 has 120 divisors (see below), whose sum is σ = 276046413720. Its totient is φ = 34207432704.

The previous prime is 104104401439. The next prime is 104104401487. The reversal of 104104401444 is 444104401401.

It can be written as a sum of positive squares in 4 ways, for example, as 51152868900 + 52951532544 = 226170^2 + 230112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8070552 + ... + 8083440.

It is an arithmetic number, because the mean of its divisors is an integer number (2300386781).

Almost surely, 2104104401444 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 104104401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138023206860).

104104401444 is an abundant number, since it is smaller than the sum of its proper divisors (171942012276).

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

104104401444 is a wasteful number, since it uses less digits than its factorization.

104104401444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13259 (or 13248 counting only the distinct ones).

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

Adding to 104104401444 its reverse (444104401401), we get a palindrome (548208802845).

The spelling of 104104401444 in words is "one hundred four billion, one hundred four million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 257 291 324 388 514 582 771 873 1028 1164 1542 1746 2313 2619 3084 3492 4626 5238 6939 7857 9252 10476 12889 13878 15714 20817 24929 25778 27756 31428 38667 41634 49858 51556 74787 77334 83268 99716 116001 149574 154668 224361 232002 299148 348003 448722 464004 673083 696006 897444 1044009 1250233 1346166 1392012 2019249 2088018 2500466 2692332 3312473 3750699 4038498 4176036 5000932 6624946 7501398 8076996 9937419 11252097 13249892 15002796 19874838 22504194 29812257 33756291 39749676 45008388 59624514 67512582 89436771 101268873 119249028 135025164 178873542 202537746 268310313 321309881 357747084 405075492 536620626 642619762 963929643 1073241252 1285239524 1927859286 2891788929 3855718572 5783577858 8675366787 11567155716 17350733574 26026100361 34701467148 52052200722 104104401444