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243106524342 = 233112914112767
BaseRepresentation
bin1110001001101001000…
…1110010110010110110
3212020111111211000021000
43202122101302302312
512440340232234332
6303403120304130
723364256235043
oct3423221626266
9766444730230
10243106524342
1194112327a30
123b147a72046
1319c03b72306
14baa30a41ca
1564cca42b7c
hex389a472cb6

243106524342 has 64 divisors (see below), whose sum is σ = 609671577600. Its totient is φ = 71128340640.

The previous prime is 243106524341. The next prime is 243106524407. The reversal of 243106524342 is 243425601342.

243106524342 is a `hidden beast` number, since 2 + 4 + 310 + 65 + 243 + 42 = 666.

243106524342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243106524297 and 243106524306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243106524341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7039158 + ... + 7073609.

It is an arithmetic number, because the mean of its divisors is an integer number (9526118400).

Almost surely, 2243106524342 is an apocalyptic number.

243106524342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243106524342 is an abundant number, since it is smaller than the sum of its proper divisors (366565053258).

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

243106524342 is a wasteful number, since it uses less digits than its factorization.

243106524342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112818 (or 14112812 counting only the distinct ones).

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

The spelling of 243106524342 in words is "two hundred forty-three billion, one hundred six million, five hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 5742 8613 17226 14112767 28225534 42338301 84676602 127014903 155240437 254029806 310480874 381044709 409270243 465721311 762089418 818540486 931442622 1227810729 1397163933 2455621458 2794327866 3683432187 4191491799 4501972673 7366864374 8382983598 9003945346 11050296561 13505918019 22100593122 27011836038 40517754057 81035508114 121553262171 243106524342