Search a number
-
+
35104044122136 = 23321144323288033
BaseRepresentation
bin1111111101101010011000…
…00101001000000000011000
311121021220200012011220210100
413332311030011020000120
514100121040243402021
6202354324130215400
710252116636530403
oct776651405100030
9147256605156710
1035104044122136
11102045a5823510
123b2b495424560
1316783b2b12512
1489508ad10d3a
1540d20b7c3626
hex1fed4c148018

35104044122136 has 48 divisors (see below), whose sum is σ = 103716493999560. Its totient is φ = 10637589127680.

The previous prime is 35104044122101. The next prime is 35104044122159. The reversal of 35104044122136 is 63122144040153.

35104044122136 is a `hidden beast` number, since 3 + 5 + 104 + 0 + 4 + 412 + 2 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 35104044122136.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22161643225 + ... + 22161644808.

Almost surely, 235104044122136 is an apocalyptic number.

35104044122136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

35104044122136 is an abundant number, since it is smaller than the sum of its proper divisors (68612449877424).

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

35104044122136 is a wasteful number, since it uses less digits than its factorization.

35104044122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44323288056 (or 44323288049 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 35104044122136 its reverse (63122144040153), we get a palindrome (98226188162289).

The spelling of 35104044122136 in words is "thirty-five trillion, one hundred four billion, forty-four million, one hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 44323288033 88646576066 132969864099 177293152132 265939728198 354586304264 398909592297 487556168363 531879456396 797819184594 975112336726 1063758912792 1462668505089 1595638369188 1950224673452 2925337010178 3191276738376 3900449346904 4388005515267 5850674020356 8776011030534 11701348040712 17552022061068 35104044122136