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104423131432000 = 265319016866329
BaseRepresentation
bin10111101111100011100111…
…101001111100010001000000
3111200201202100120110002121101
4113233203213221330101000
5102141332033121311000
61010031154015504144
730665215354032553
oct2757434751742100
9450652316402541
10104423131432000
11302aa66842a397
12b865a9b528054
13463609c939384
141bb016c45669a
15c11442c95e6a
hex5ef8e7a7c440

104423131432000 has 112 divisors (see below), whose sum is σ = 258739958383920. Its totient is φ = 41747274240000.

The previous prime is 104423131431977. The next prime is 104423131432007. The reversal of 104423131432000 is 234131324401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91122755838976 + 13300375593024 = 9545824^2 + 3646968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104423131432000.

It is not an unprimeable number, because it can be changed into a prime (104423131432007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11774836 + ... + 18641164.

Almost surely, 2104423131432000 is an apocalyptic number.

104423131432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104423131432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129369979191960).

104423131432000 is an abundant number, since it is smaller than the sum of its proper divisors (154316826951920).

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

104423131432000 is an equidigital number, since it uses as much as digits as its factorization.

104423131432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868257 (or 6868237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 104423131432000 its reverse (234131324401), we get a palindrome (104657262756401).

The spelling of 104423131432000 in words is "one hundred four trillion, four hundred twenty-three billion, one hundred thirty-one million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 1901 2000 3802 4000 7604 8000 9505 15208 19010 30416 38020 47525 60832 76040 95050 121664 152080 190100 237625 304160 380200 475250 608320 760400 950500 1520800 1901000 3041600 3802000 6866329 7604000 13732658 15208000 27465316 34331645 54930632 68663290 109861264 137326580 171658225 219722528 274653160 343316450 439445056 549306320 686632900 858291125 1098612640 1373265800 1716582250 2197225280 2746531600 3433164500 5493063200 6866329000 10986126400 13052891429 13732658000 26105782858 27465316000 52211565716 54930632000 65264457145 104423131432 130528914290 208846262864 261057828580 326322285725 417692525728 522115657160 652644571450 835385051456 1044231314320 1305289142900 1631611428625 2088462628640 2610578285800 3263222857250 4176925257280 5221156571600 6526445714500 10442313143200 13052891429000 20884626286400 26105782858000 52211565716000 104423131432000