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243405414231 = 371723229129449
BaseRepresentation
bin1110001010110000010…
…1111101111101010111
3212021021100020012002220
43202230011331331113
512441443241223411
6303452514433423
723404545612120
oct3425405757527
9767240205086
10243405414231
1194256013371
123b20bb92873
1319c50a71a35
14bad0a69047
1564e8dd2b06
hex38ac17df57

243405414231 has 64 divisors (see below), whose sum is σ = 411588864000. Its totient is φ = 124667744256.

The previous prime is 243405414223. The next prime is 243405414271. The reversal of 243405414231 is 132414504342.

It is not a de Polignac number, because 243405414231 - 23 = 243405414223 is a prime.

It is a super-2 number, since 2×2434054142312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243405414192 and 243405414201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243405414211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1815595 + ... + 1945043.

It is an arithmetic number, because the mean of its divisors is an integer number (6431076000).

Almost surely, 2243405414231 is an apocalyptic number.

243405414231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

243405414231 is a deficient number, since it is larger than the sum of its proper divisors (168183449769).

243405414231 is a wasteful number, since it uses less digits than its factorization.

243405414231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129728.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 243405414231 its reverse (132414504342), we get a palindrome (375819918573).

The spelling of 243405414231 in words is "two hundred forty-three billion, four hundred five million, four hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 7 17 21 23 51 69 119 161 229 357 391 483 687 1173 1603 2737 3893 4809 5267 8211 11679 15801 27251 36869 81753 89539 110607 129449 268617 388347 626773 906143 1880319 2200633 2718429 2977327 6601899 8931981 15404431 20841289 29643821 46213293 50614559 62523867 88931463 151843677 207506747 354301913 503944957 622520241 681807883 1062905739 1511834871 2045423649 3527614699 4772655181 10582844097 11590734011 14317965543 34772202033 81135138077 243405414231