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243146404641342 = 23373133499214297
BaseRepresentation
bin110111010010001111101111…
…000100111011101000111110
31011212220120100222222201022210
4313102033233010323220332
5223332202314042010332
62221043525524521250
7102133514400505446
oct6722175704735076
91155816328881283
10243146404641342
11705238a1674054
122332b49ab50226
13a5897b8abc317
1444084c5085126
151d19be1637ecc
hexdd23ef13ba3e

243146404641342 has 32 divisors (see below), whose sum is σ = 501031500044832. Its totient is φ = 78606349945344.

The previous prime is 243146404641341. The next prime is 243146404641347.

243146404641342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2431464046413422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243146404641291 and 243146404641300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243146404641341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749537663 + ... + 1749676634.

It is an arithmetic number, because the mean of its divisors is an integer number (15657234376401).

Almost surely, 2243146404641342 is an apocalyptic number.

243146404641342 is an abundant number, since it is smaller than the sum of its proper divisors (257885095403490).

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

243146404641342 is a wasteful number, since it uses less digits than its factorization.

243146404641342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499214652.

The product of its (nonzero) digits is 5308416, while the sum is 48.

It can be divided in two parts, 24314640 and 4641342, that added together give a palindrome (28955982).

The spelling of 243146404641342 in words is "two hundred forty-three trillion, one hundred forty-six billion, four hundred four million, six hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 37 74 111 222 313 626 939 1878 11581 23162 34743 69486 3499214297 6998428594 10497642891 20995285782 129470928989 258941857978 388412786967 776825573934 1095254074961 2190508149922 3285762224883 6571524449766 40524400773557 81048801547114 121573202320671 243146404641342