Search a number
-
+
140104440122301 = 3317678074501577
BaseRepresentation
bin11111110110110010011011…
…011000101000101110111101
3200101001212001022202110121000
4133312302123120220232331
5121330432343132403201
61213551031413200513
741340132430500414
oct3766623330505675
9611055038673530
10140104440122301
1140706a60a2aa06
1213869219630139
136023a3b090535
14268513bd0c47b
15112e688437d86
hex7f6c9b628bbd

140104440122301 has 32 divisors (see below), whose sum is σ = 219774960737280. Its totient is φ = 87907352329728.

The previous prime is 140104440122243. The next prime is 140104440122333. The reversal of 140104440122301 is 103221044401041.

140104440122301 is a `hidden beast` number, since 14 + 0 + 10 + 4 + 4 + 401 + 2 + 230 + 1 = 666.

It is not a de Polignac number, because 140104440122301 - 210 = 140104440121277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140104440122351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28872625 + ... + 33374201.

It is an arithmetic number, because the mean of its divisors is an integer number (6867967523040).

Almost surely, 2140104440122301 is an apocalyptic number.

It is an amenable number.

140104440122301 is a deficient number, since it is larger than the sum of its proper divisors (79670520614979).

140104440122301 is a wasteful number, since it uses less digits than its factorization.

140104440122301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569410 (or 4569404 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140104440122301 its reverse (103221044401041), we get a palindrome (243325484523342).

The spelling of 140104440122301 in words is "one hundred forty trillion, one hundred four billion, four hundred forty million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 17 27 51 153 459 67807 203421 610263 1152719 1830789 3458157 4501577 10374471 13504731 31123413 40514193 76526809 121542579 229580427 688741281 2066223843 305238431639 915715294917 2747145884751 5189053337863 8241437654253 15567160013589 46701480040767 140104440122301