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243324413332 = 2271113231115031
BaseRepresentation
bin1110001010011101000…
…0111110010110010100
3212021001200210220202121
43202213100332112110
512441312022211312
6303440502345324
723402543246650
oct3424720762624
9767050726677
10243324413332
1194214319180
123b1a8a2b244
1319c3a050c00
14bac3dc1a60
1564e1c32707
hex38a743e594

243324413332 has 144 divisors (see below), whose sum is σ = 576755472384. Its totient is φ = 87222096000.

The previous prime is 243324413309. The next prime is 243324413419. The reversal of 243324413332 is 233314423342.

243324413332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16180657 + ... + 16195687.

It is an arithmetic number, because the mean of its divisors is an integer number (4005246336).

Almost surely, 2243324413332 is an apocalyptic number.

243324413332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243324413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288377736192).

243324413332 is an abundant number, since it is smaller than the sum of its proper divisors (333431059052).

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

243324413332 is a wasteful number, since it uses less digits than its factorization.

243324413332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15375 counting only the distinct ones).

The product of its digits is 124416, while the sum is 34.

Adding to 243324413332 its reverse (233314423342), we get a palindrome (476638836674).

It can be divided in two parts, 243324 and 413332, that added together give a palindrome (656656).

The spelling of 243324413332 in words is "two hundred forty-three billion, three hundred twenty-four million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 311 338 364 572 622 676 1001 1183 1244 1859 2002 2177 2366 3421 3718 4004 4043 4354 4732 6842 7436 8086 8708 13013 13684 15031 16172 23947 26026 28301 30062 44473 47894 52052 52559 56602 60124 88946 95788 105118 105217 113204 165341 177892 195403 210236 210434 311311 330682 367913 390806 420868 578149 622622 661364 735826 781612 1156298 1157387 1245244 1367821 1471652 2149433 2312596 2314774 2540239 2735642 4047043 4298866 4629548 4674641 5080478 5471284 8094086 8597732 9349282 10160956 15046031 16188172 17781673 18698564 27942629 30092062 32722487 35563346 51421051 55885258 60184124 60770333 65444974 71126692 102842102 111770516 121540666 130889948 195598403 205684204 243081332 359947357 391196806 425392331 668473663 719894714 782393612 790014329 850784662 1336947326 1439789428 1580028658 1701569324 2673894652 3160057316 4679315641 5530100303 8690157619 9358631282 11060200606 17380315238 18717262564 22120401212 34760630476 60831103333 121662206666 243324413332