Search a number
-
+
240233242332042 = 23223580273532203
BaseRepresentation
bin110110100111110110101001…
…000100101000101110001010
31011111121001222201011012011100
4312213312221010220232022
5222441440140014111132
62210533343350242230
7101413164460444311
oct6647665104505612
91144531881135140
10240233242332042
116a600389479703
1222b3a98a956376
13a407b88bab56b
1443474cb0b3278
151cb904081a37c
hexda7da9128b8a

240233242332042 has 24 divisors (see below), whose sum is σ = 543136026142944. Its totient is φ = 76596106250664.

The previous prime is 240233242331987. The next prime is 240233242332043.

240233242332042 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 3 + 324 + 2 + 3 + 320 + 4 + 2 = 666.

240233242332042 is nontrivially palindromic in base 10.

240233242332042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240233242331988 and 240233242332006.

It is not an unprimeable number, because it can be changed into a prime (240233242332043) 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, 290136765688 + ... + 290136766515.

It is an arithmetic number, because the mean of its divisors is an integer number (22630667755956).

Almost surely, 2240233242332042 is an apocalyptic number.

240233242332042 is an abundant number, since it is smaller than the sum of its proper divisors (302902783810902).

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

240233242332042 is a wasteful number, since it uses less digits than its factorization.

240233242332042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580273532234 (or 580273532231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 240233242332042 in words is "two hundred forty trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 580273532203 1160547064406 1740820596609 3481641193218 5222461789827 10444923579654 13346291240669 26692582481338 40038873722007 80077747444014 120116621166021 240233242332042