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243132322140 = 22335450245041
BaseRepresentation
bin1110001001101111010…
…0001101000101011100
3212020120022100200012000
43202123310031011130
512440413333302030
6303405441242300
723365021432221
oct3423364150534
9766508320160
10243132322140
1194125948224
123b154633390
1319c09305696
14baa669b948
1564cee3b860
hex389bd0d15c

243132322140 has 48 divisors (see below), whose sum is σ = 756411670560. Its totient is φ = 64835285760.

The previous prime is 243132322129. The next prime is 243132322141. The reversal of 243132322140 is 41223231342.

243132322140 is a `hidden beast` number, since 2 + 431 + 3 + 2 + 3 + 221 + 4 + 0 = 666.

243132322140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431323221402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243132322141) 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 15 ways as a sum of consecutive naturals, for example, 225121981 + ... + 225123060.

It is an arithmetic number, because the mean of its divisors is an integer number (15758576470).

Almost surely, 2243132322140 is an apocalyptic number.

243132322140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243132322140 is an abundant number, since it is smaller than the sum of its proper divisors (513279348420).

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

243132322140 is a wasteful number, since it uses less digits than its factorization.

243132322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450245059 (or 450245051 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 243132322140 its reverse (41223231342), we get a palindrome (284355553482).

The spelling of 243132322140 in words is "two hundred forty-three billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 450245041 900490082 1350735123 1800980164 2251225205 2701470246 4052205369 4502450410 5402940492 6753675615 8104410738 9004900820 12156616107 13507351230 16208821476 20261026845 24313232214 27014702460 40522053690 48626464428 60783080535 81044107380 121566161070 243132322140