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123324344040 = 23351735940479
BaseRepresentation
bin111001011011010110…
…1000010011011101000
3102210022200111210012210
41302312231002123220
54010032013002130
6132353204405120
711624043425352
oct1626655023350
9383280453183
10123324344040
1148335416a97
121ba990a67a0
13b824b41151
145d7ca5c0d2
15331bc665b0
hex1cb6b426e8

123324344040 has 64 divisors (see below), whose sum is σ = 372111667200. Its totient is φ = 32696390912.

The previous prime is 123324343997. The next prime is 123324344051. The reversal of 123324344040 is 40443423321.

It is a happy number.

123324344040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123324343989 and 123324344007.

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 15 ways as a sum of consecutive naturals, for example, 2949480 + ... + 2990999.

It is an arithmetic number, because the mean of its divisors is an integer number (5814244800).

Almost surely, 2123324344040 is an apocalyptic number.

123324344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123324344040 is an abundant number, since it is smaller than the sum of its proper divisors (248787323160).

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

123324344040 is a wasteful number, since it uses less digits than its factorization.

123324344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940666 (or 5940662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 123324344040 its reverse (40443423321), we get a palindrome (163767767361).

The spelling of 123324344040 in words is "one hundred twenty-three billion, three hundred twenty-four million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 20760 5940479 11880958 17821437 23761916 29702395 35642874 47523832 59404790 71285748 89107185 118809580 142571496 178214370 237619160 356428740 712857480 1027702867 2055405734 3083108601 4110811468 5138514335 6166217202 8221622936 10277028670 12332434404 15415543005 20554057340 24664868808 30831086010 41108114680 61662172020 123324344040