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240023113021332 = 223310321577050793
BaseRepresentation
bin110110100100110010111100…
…011000111011011110010100
31011110211222121102210012121000
4312210302330120323132110
5222430014313413140312
62210253032414023300
7101362045331665224
oct6644627430733624
91143758542705530
10240023113021332
116a52a259a02443
1222b06106aa7b30
13a3c110c168114
14433b275a0c084
151cb3842e93adc
hexda4cbc63b794

240023113021332 has 48 divisors (see below), whose sum is σ = 628323719121280. Its totient is φ = 79230930508224.

The previous prime is 240023113021331. The next prime is 240023113021361. The reversal of 240023113021332 is 233120311320042.

240023113021332 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 2 + 311 + 302 + 13 + 32 = 666.

It is a super-2 number, since 2×2400231130213322 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 240023113021296 and 240023113021305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240023113021331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10788514273 + ... + 10788536520.

Almost surely, 2240023113021332 is an apocalyptic number.

It is an amenable number.

240023113021332 is an abundant number, since it is smaller than the sum of its proper divisors (388300606099948).

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

240023113021332 is a wasteful number, since it uses less digits than its factorization.

240023113021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21577050909 (or 21577050901 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 240023113021332 its reverse (233120311320042), we get a palindrome (473143424341374).

The spelling of 240023113021332 in words is "two hundred forty trillion, twenty-three billion, one hundred thirteen million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 21577050793 43154101586 64731152379 86308203172 129462304758 194193457137 258924609516 388386914274 582580371411 776773828548 1165160742822 2222436231679 2330321485644 4444872463358 6667308695037 8889744926716 13334617390074 20001926085111 26669234780148 40003852170222 60005778255333 80007704340444 120011556510666 240023113021332