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123032204440040 = 23573311327494653
BaseRepresentation
bin11011111110010110101010…
…110101110111000111101000
3121010121202121212101101000002
4123332112222311313013220
5112111224423314040130
61113400114153202132
734625532501521060
oct3376265265670750
9533552555341002
10123032204440040
1136224734a66395
1211970570400348
135385b6bc4924c
142254b0d0863a0
15e3553b2bab45
hex6fe5aad771e8

123032204440040 has 64 divisors (see below), whose sum is σ = 317324322092160. Its totient is φ = 42055030575360.

The previous prime is 123032204439967. The next prime is 123032204440051. The reversal of 123032204440040 is 40044402230321.

It is a junction number, because it is equal to n+sod(n) for n = 123032204439985 and 123032204440012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663654647 + ... + 663840006.

It is an arithmetic number, because the mean of its divisors is an integer number (4958192532690).

Almost surely, 2123032204440040 is an apocalyptic number.

123032204440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123032204440040 is an abundant number, since it is smaller than the sum of its proper divisors (194292117652120).

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

123032204440040 is a wasteful number, since it uses less digits than its factorization.

123032204440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327495002 (or 1327494998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 123032204440040 its reverse (40044402230321), we get a palindrome (163076606670361).

The spelling of 123032204440040 in words is "one hundred twenty-three trillion, thirty-two billion, two hundred four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1655 2317 2648 3310 4634 6620 9268 11585 13240 18536 23170 46340 92680 1327494653 2654989306 5309978612 6637473265 9292462571 10619957224 13274946530 18584925142 26549893060 37169850284 46462312855 53099786120 74339700568 92924625710 185849251420 371698502840 439400730143 878801460286 1757602920572 2197003650715 3075805111001 3515205841144 4394007301430 6151610222002 8788014602860 12303220444004 15379025555005 17576029205720 24606440888008 30758051110010 61516102220020 123032204440040