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104411481444774 = 2337597534622711
BaseRepresentation
bin10111101111011000110001…
…010000110001000110100110
3111200200122021122221102112000
4113233120301100301012212
5102141134203222213044
61010021550012110130
730664323562545330
oct2757306120610646
9450618248842460
10104411481444774
11302a572a301579
12b863789a65346
134634c641637ca
141bad78510a450
15c10eb0112d69
hex5ef6314311a6

104411481444774 has 64 divisors (see below), whose sum is σ = 265176511534080. Its totient is φ = 29831346135360.

The previous prime is 104411481444733. The next prime is 104411481444799. The reversal of 104411481444774 is 477444184114401.

104411481444774 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 11 + 481 + 44 + 47 + 74 = 666.

It is a super-2 number, since 2×1044114814447742 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 104411481444774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20275279 + ... + 24897989.

It is an arithmetic number, because the mean of its divisors is an integer number (4143382992720).

Almost surely, 2104411481444774 is an apocalyptic number.

104411481444774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104411481444774 is an abundant number, since it is smaller than the sum of its proper divisors (160765030089306).

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

104411481444774 is a wasteful number, since it uses less digits than its factorization.

104411481444774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682482 (or 4682476 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 104411481444774 in words is "one hundred four trillion, four hundred eleven billion, four hundred eighty-one million, four hundred forty-four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 59753 119506 179259 358518 418271 537777 836542 1075554 1254813 1613331 2509626 3226662 3764439 4622711 7528878 9245422 11293317 13868133 22586634 27736266 32358977 41604399 64717954 83208798 97076931 124813197 194153862 249626394 291230793 582461586 873692379 1747384758 276220850383 552441700766 828662551149 1657325102298 1933545952681 2485987653447 3867091905362 4971975306894 5800637858043 7457962960341 11601275716086 14915925920682 17401913574129 34803827148258 52205740722387 104411481444774