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123323443440 = 243513711713203
BaseRepresentation
bin111001011011010100…
…1100110100011110000
3102210022121211000211020
41302312221212203300
54010031300142230
6132353133215440
711624032654611
oct1626651464360
9383277730736
10123323443440
114833496139a
121ba98931580
13b8248b7252
145d7c8a5c08
15331bb39810
hex1cb6a668f0

123323443440 has 160 divisors (see below), whose sum is σ = 385542395136. Its totient is φ = 32608143360.

The previous prime is 123323443429. The next prime is 123323443459. The reversal of 123323443440 is 44344323321.

It is a happy number.

123323443440 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 38500879 + ... + 38504081.

Almost surely, 2123323443440 is an apocalyptic number.

123323443440 is a gapful number since it is divisible by the number (10) 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 123323443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192771197568).

123323443440 is an abundant number, since it is smaller than the sum of its proper divisors (262218951696).

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

123323443440 is a wasteful number, since it uses less digits than its factorization.

123323443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 123323443440 its reverse (44344323321), we get a palindrome (167667766761).

The spelling of 123323443440 in words is "one hundred twenty-three billion, three hundred twenty-three million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1171 1370 1644 2055 2192 2342 2740 3203 3288 3513 4110 4684 5480 5855 6406 6576 7026 8220 9368 9609 10960 11710 12812 14052 16015 16440 17565 18736 19218 23420 25624 28104 32030 32880 35130 38436 46840 48045 51248 56208 64060 70260 76872 93680 96090 128120 140520 153744 160427 192180 256240 281040 320854 384360 438811 481281 641708 768720 802135 877622 962562 1283416 1316433 1604270 1755244 1925124 2194055 2406405 2566832 2632866 3208540 3510488 3750713 3850248 4388110 4812810 5265732 6417080 6582165 7020976 7501426 7700496 8776220 9625620 10531464 11252139 12834160 13164330 15002852 17552440 18753565 19251240 21062928 22504278 26328660 30005704 35104880 37507130 38502480 45008556 52657320 56260695 60011408 75014260 90017112 105314640 112521390 150028520 180034224 225042780 300057040 450085560 513847681 900171120 1027695362 1541543043 2055390724 2569238405 3083086086 4110781448 5138476810 6166172172 7707715215 8221562896 10276953620 12332344344 15415430430 20553907240 24664688688 30830860860 41107814480 61661721720 123323443440