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243343114032 = 24331690723677
BaseRepresentation
bin1110001010100001100…
…0010011111100110000
3212021010000000000022010
43202220120103330300
512441331314122112
6303442411242520
723403161224644
oct3425030237460
9767100000263
10243343114032
11942239312a7
123b1b3149440
1319c40b9ab05
14bac668cc24
1564e36c863c
hex38a8613f30

243343114032 has 80 divisors (see below), whose sum is σ = 649036332032. Its totient is φ = 78483098880.

The previous prime is 243343114031. The next prime is 243343114033. The reversal of 243343114032 is 230411343342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243343114031) and next prime (243343114033).

It is a super-3 number, since 3×2433431140323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (243343114031) 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, 10265778 + ... + 10289454.

Almost surely, 2243343114032 is an apocalyptic number.

It is an amenable number.

243343114032 is an abundant number, since it is smaller than the sum of its proper divisors (405693218000).

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

243343114032 is a wasteful number, since it uses less digits than its factorization.

243343114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30626 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 243343114032 its reverse (230411343342), we get a palindrome (473754457374).

The spelling of 243343114032 in words is "two hundred forty-three billion, three hundred forty-three million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 6907 13814 20721 23677 27628 41442 47354 55256 71031 82884 94708 110512 142062 165768 189416 214117 284124 331536 378832 428234 568248 642351 733987 856468 1136496 1284702 1467974 1712936 2201961 2569404 2935948 3425872 4403922 5138808 5871896 8807844 10277616 11743792 17615688 35231376 163537039 327074078 490611117 654148156 981222234 1308296312 1962444468 2616592624 3924888936 5069648209 7849777872 10139296418 15208944627 20278592836 30417889254 40557185672 60835778508 81114371344 121671557016 243343114032