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243214431444 = 223237881207257
BaseRepresentation
bin1110001010000010110…
…1011011010011010100
3212020210000212020222100
43202200231123103110
512441100343301234
6303421533202100
723400036362025
oct3424055332324
9766700766870
10243214431444
119416822a156
123b178030330
1319c20323b7a
14bab3552c4c
1564d725a399
hex38a0b5b4d4

243214431444 has 72 divisors (see below), whose sum is σ = 632127780648. Its totient is φ = 78790440960.

The previous prime is 243214431443. The next prime is 243214431613. The reversal of 243214431444 is 444134412342.

243214431444 is a `hidden beast` number, since 2 + 4 + 3 + 214 + 431 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65248571844 + 177965859600 = 255438^2 + 421860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243214431399 and 243214431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243214431443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069864 + ... + 1277120.

It is an arithmetic number, because the mean of its divisors is an integer number (8779552509).

Almost surely, 2243214431444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243214431444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316063890324).

243214431444 is an abundant number, since it is smaller than the sum of its proper divisors (388913349204).

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

243214431444 is a wasteful number, since it uses less digits than its factorization.

243214431444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208185 (or 208180 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 243214431444 its reverse (444134412342), we get a palindrome (687348843786).

The spelling of 243214431444 in words is "two hundred forty-three billion, two hundred fourteen million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 881 1332 1762 2643 3524 5286 7929 10572 15858 31716 32597 65194 97791 130388 195582 207257 293373 391164 414514 586746 621771 829028 1173492 1243542 1865313 2487084 3730626 7461252 7668509 15337018 23005527 30674036 46011054 69016581 92022108 138033162 182593417 276066324 365186834 547780251 730373668 1095560502 1643340753 2191121004 3286681506 6573363012 6755956429 13511912858 20267869287 27023825716 40535738574 60803607861 81071477148 121607215722 243214431444