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243343232144 = 242329374115031
BaseRepresentation
bin1110001010100001100…
…0110000110010010000
3212021010000020000022122
43202220120300302100
512441331331412034
6303442413553412
723403162226205
oct3425030606220
9767100200278
10243343232144
1194223a02011
123b1b31a5868
1319c40c0c7bc
14bac66bdcac
1564e36ed62e
hex38a8630c90

243343232144 has 160 divisors (see below), whose sum is σ = 535480727040. Its totient is φ = 106657689600.

The previous prime is 243343232137. The next prime is 243343232161. The reversal of 243343232144 is 441232343342.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16181909 + ... + 16196939.

It is an arithmetic number, because the mean of its divisors is an integer number (3346754544).

Almost surely, 2243343232144 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 243343232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267740363520).

243343232144 is an abundant number, since it is smaller than the sum of its proper divisors (292137494896).

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

243343232144 is a wasteful number, since it uses less digits than its factorization.

243343232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169 (or 15163 counting only the distinct ones).

The product of its digits is 165888, while the sum is 35.

Adding to 243343232144 its reverse (441232343342), we get a palindrome (684575575486).

The spelling of 243343232144 in words is "two hundred forty-three billion, three hundred forty-three million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 29 37 41 46 58 74 82 92 116 148 164 184 232 296 328 368 464 592 656 667 851 943 1073 1189 1334 1517 1702 1886 2146 2378 2668 3034 3404 3772 4292 4756 5336 6068 6808 7544 8584 9512 10672 12136 13616 15031 15088 17168 19024 24272 24679 27347 30062 34891 43993 49358 54694 60124 69782 87986 98716 109388 120248 139564 175972 197432 218776 240496 279128 345713 351944 394864 435899 437552 556147 558256 616271 691426 703888 871798 1011839 1112294 1232542 1382852 1743596 2023678 2224588 2465084 2765704 3487192 4047356 4449176 4930168 5531408 6974384 8094712 8898352 9860336 10025677 12791381 14174233 16128263 16189424 17871859 20051354 22802027 25582762 28348466 32256526 35743718 40102708 45604054 51165524 56696932 64513052 71487436 80205416 91208108 102331048 113393864 129026104 142974872 160410832 182416216 204662096 226787728 258052208 285949744 364832432 370950049 411052757 524446621 661258783 741900098 822105514 1048893242 1322517566 1483800196 1644211028 2097786484 2645035132 2967600392 3288422056 4195572968 5290070264 5935200784 6576844112 8391145936 10580140528 15208952009 30417904018 60835808036 121671616072 243343232144