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243120244440 = 23352339866183
BaseRepresentation
bin1110001001101100011…
…0001000011011011000
3212020112110122001200210
43202123012020123120
512440402240310230
6303404330331120
723364513660243
oct3423306103330
9766473561623
10243120244440
119411a049057
123b150589aa0
1319c06967208
14baa4c3625a
1564cdd52eb0
hex389b1886d8

243120244440 has 64 divisors (see below), whose sum is σ = 729673401600. Its totient is φ = 64804272512.

The previous prime is 243120244373. The next prime is 243120244447. The reversal of 243120244440 is 44442021342.

243120244440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243120244398 and 243120244407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120244447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152412 + ... + 713771.

It is an arithmetic number, because the mean of its divisors is an integer number (11401146900).

Almost surely, 2243120244440 is an apocalyptic number.

243120244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243120244440 is an abundant number, since it is smaller than the sum of its proper divisors (486553157160).

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

243120244440 is a wasteful number, since it uses less digits than its factorization.

243120244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868536 (or 868532 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 243120244440 its reverse (44442021342), we get a palindrome (287562265782).

The spelling of 243120244440 in words is "two hundred forty-three billion, one hundred twenty million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2339 4678 7017 9356 11695 14034 18712 23390 28068 35085 46780 56136 70170 93560 140340 280680 866183 1732366 2598549 3464732 4330915 5197098 6929464 8661830 10394196 12992745 17323660 20788392 25985490 34647320 51970980 103941960 2026002037 4052004074 6078006111 8104008148 10130010185 12156012222 16208016296 20260020370 24312024444 30390030555 40520040740 48624048888 60780061110 81040081480 121560122220 243120244440