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23240333342340 = 223251219971058329
BaseRepresentation
bin1010100100011000011111…
…10100000011011010000100
310001021202100210022112211100
411102030033310003122010
511021232200313423330
6121232243423140100
74616026061002242
oct522141764033204
9101252323275740
1023240333342340
11745019632aa94
122734170744630
13cc772828853a
145a4ba3bb5792
152a480392e060
hex15230fd03684

23240333342340 has 72 divisors (see below), whose sum is σ = 70496322263640. Its totient is φ = 6197365569024.

The previous prime is 23240333342287. The next prime is 23240333342393. The reversal of 23240333342340 is 4324333304232.

23240333342340 is a `hidden beast` number, since 2 + 3 + 240 + 3 + 3 + 33 + 42 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (23240333342287) and next prime (23240333342393).

It can be written as a sum of positive squares in 4 ways, for example, as 16638958911744 + 6601374430596 = 4079088^2 + 2569314^2 .

It is a super-2 number, since 2×232403333423402 (a number of 28 digits) contains 22 as substring.

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 = 23240333342295 and 23240333342304.

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 23 ways as a sum of consecutive naturals, for example, 21430296 + ... + 22488624.

It is an arithmetic number, because the mean of its divisors is an integer number (979115586995).

Almost surely, 223240333342340 is an apocalyptic number.

23240333342340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23240333342340 is an abundant number, since it is smaller than the sum of its proper divisors (47255988921300).

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

23240333342340 is a wasteful number, since it uses less digits than its factorization.

23240333342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180341 (or 1180336 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 23240333342340 its reverse (4324333304232), we get a palindrome (27564666646572).

The spelling of 23240333342340 in words is "twenty-three trillion, two hundred forty billion, three hundred thirty-three million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 121997 243994 365991 487988 609985 731982 1058329 1097973 1219970 1463964 1829955 2116658 2195946 2439940 3174987 3659910 4233316 4391892 5291645 5489865 6349974 7319820 9524961 10583290 10979730 12699948 15874935 19049922 21166580 21959460 31749870 38099844 47624805 63499740 95249610 190499220 129112963013 258225926026 387338889039 516451852052 645564815065 774677778078 1162016667117 1291129630130 1549355556156 1936694445195 2324033334234 2582259260260 3873388890390 4648066668468 5810083335585 7746777780780 11620166671170 23240333342340