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243312445341 = 32721314211671
BaseRepresentation
bin1110001010011010001…
…1010100011110011101
3212021000212021212202200
43202212203110132131
512441300441222331
6303435354042113
723402336442600
oct3424643243635
9767025255680
10243312445341
1194208594479
123b1a4a19339
1319c37720664
14bac2588337
1564e0b6b5e6
hex38a68d479d

243312445341 has 36 divisors (see below), whose sum is σ = 411952061664. Its totient is φ = 137974309200.

The previous prime is 243312445339. The next prime is 243312445349. The reversal of 243312445341 is 143544213342.

243312445341 is a `hidden beast` number, since 2 + 43 + 3 + 124 + 453 + 41 = 666.

It is not a de Polignac number, because 243312445341 - 21 = 243312445339 is a prime.

It is a super-2 number, since 2×2433124453412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243312445296 and 243312445305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243312445349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2048065 + ... + 2163606.

It is an arithmetic number, because the mean of its divisors is an integer number (11443112824).

Almost surely, 2243312445341 is an apocalyptic number.

243312445341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

243312445341 is a deficient number, since it is larger than the sum of its proper divisors (168639616323).

243312445341 is a wasteful number, since it uses less digits than its factorization.

243312445341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211822 (or 4211812 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 243312445341 its reverse (143544213342), we get a palindrome (386856658683).

The spelling of 243312445341 in words is "two hundred forty-three billion, three hundred twelve million, four hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 49 63 131 147 393 441 917 1179 2751 6419 8253 19257 57771 4211671 12635013 29481697 37905039 88445091 206371879 265335273 551728901 619115637 1655186703 1857346911 3862102307 4965560109 11586306921 27034716149 34758920763 81104148447 243312445341