Search a number
-
+
104033104131042 = 2329929582094561
BaseRepresentation
bin10111101001111000011000…
…001101110111001111100010
3111122100110121220021022212100
4113221320120031313033202
5102113434244124143132
61005132052005111230
730625100205466062
oct2751703015671742
9448313556238770
10104033104131042
113016a212165429
12b8023900b8516
134608383449ba8
141b9932c94b3a2
15c06216b6637c
hex5e9e183773e2

104033104131042 has 24 divisors (see below), whose sum is σ = 225427761025740. Its totient is φ = 34674208750080.

The previous prime is 104033104130983. The next prime is 104033104131049. The reversal of 104033104131042 is 240131401330401.

104033104131042 is a `hidden beast` number, since 10 + 4 + 0 + 331 + 0 + 4 + 1 + 310 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103139075259081 + 894028871961 = 10155741^2 + 945531^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104033104130997 and 104033104131015.

It is not an unprimeable number, because it can be changed into a prime (104033104131049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290868559 + ... + 291226002.

Almost surely, 2104033104131042 is an apocalyptic number.

104033104131042 is an abundant number, since it is smaller than the sum of its proper divisors (121394656894698).

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

104033104131042 is a wasteful number, since it uses less digits than its factorization.

104033104131042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582104498 (or 582104495 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104033104131042 its reverse (240131401330401), we get a palindrome (344164505461443).

The spelling of 104033104131042 in words is "one hundred four trillion, thirty-three billion, one hundred four million, one hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 9929 19858 29787 59574 89361 178722 582094561 1164189122 1746283683 3492567366 5238851049 10477702098 5779616896169 11559233792338 17338850688507 34677701377014 52016552065521 104033104131042