Search a number
-
+
104246540240040 = 233251141642070339
BaseRepresentation
bin10111101100111111001010…
…000000000000010010101000
3111200002212112121222001220100
4113230333022000000102220
5102130433403300140130
61005414111025425400
730646364306463402
oct2754771200002250
9450085477861810
10104246540240040
113024178929a140
12b83781749b260
1346225392b2b03
141ba57b927bb72
15c0ba59984c60
hex5ecfca0004a8

104246540240040 has 192 divisors, whose sum is σ = 378616038091200. Its totient is φ = 24655500979200.

The previous prime is 104246540240009. The next prime is 104246540240047. The reversal of 104246540240040 is 40042045642401.

104246540240040 is a `hidden beast` number, since 1 + 0 + 4 + 246 + 5 + 4 + 0 + 2 + 400 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104246540239977 and 104246540240004.

It is not an unprimeable number, because it can be changed into a prime (104246540240047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320872810 + ... + 321197529.

It is an arithmetic number, because the mean of its divisors is an integer number (1971958531725).

Almost surely, 2104246540240040 is an apocalyptic number.

104246540240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104246540240040 is an abundant number, since it is smaller than the sum of its proper divisors (274369497851160).

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

104246540240040 is a wasteful number, since it uses less digits than its factorization.

104246540240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642070408 (or 642070401 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 104246540240040 its reverse (40042045642401), we get a palindrome (144288585882441).

The spelling of 104246540240040 in words is "one hundred four trillion, two hundred forty-six billion, five hundred forty million, two hundred forty thousand, forty".