Search a number
-
+
104040041220 = 22335239806137
BaseRepresentation
bin110000011100101000…
…1010000101100000100
3100221112201200200221000
41200321101100230010
53201033222304340
6115443443053300
710342131521223
oct1407121205404
9327481620830
10104040041220
1140139988945
12181b6971230
139a7081068b
14506d838cba
152a8dc6dd30
hex1839450b04

104040041220 has 96 divisors (see below), whose sum is σ = 325034841600. Its totient is φ = 27627892992.

The previous prime is 104040041201. The next prime is 104040041233. The reversal of 104040041220 is 22140040401.

104040041220 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 400 + 41 + 220 = 666.

It is a super-3 number, since 3×1040400412203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104040041193 and 104040041202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274009 + ... + 532128.

It is an arithmetic number, because the mean of its divisors is an integer number (3385779600).

Almost surely, 2104040041220 is an apocalyptic number.

104040041220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104040041220 is an abundant number, since it is smaller than the sum of its proper divisors (220994800380).

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

104040041220 is a wasteful number, since it uses less digits than its factorization.

104040041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806394 (or 806386 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 104040041220 its reverse (22140040401), we get a palindrome (126180081621).

The spelling of 104040041220 in words is "one hundred four billion, forty million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 239 270 478 540 717 956 1195 1434 2151 2390 2868 3585 4302 4780 6453 7170 8604 10755 12906 14340 21510 25812 32265 43020 64530 129060 806137 1612274 2418411 3224548 4030685 4836822 7255233 8061370 9673644 12092055 14510466 16122740 21765699 24184110 29020932 36276165 43531398 48368220 72552330 87062796 108828495 145104660 192666743 217656990 385333486 435313980 578000229 770666972 963333715 1156000458 1734000687 1926667430 2312000916 2890001145 3468001374 3853334860 5202002061 5780002290 6936002748 8670003435 10404004122 11560004580 17340006870 20808008244 26010010305 34680013740 52020020610 104040041220