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123022440040 = 235171491214197
BaseRepresentation
bin111001010010010110…
…1010111011001101000
3102202112122102110210011
41302210231113121220
54003422221040130
6132303221501304
711613416325643
oct1624455273150
9382478373704
10123022440040
114819aa62055
121ba13b71834
13b7a7427826
145d50910a5a
1533004cd52a
hex1ca4b57668

123022440040 has 64 divisors (see below), whose sum is σ = 295050114000. Its totient is φ = 46003458048.

The previous prime is 123022439977. The next prime is 123022440041. The reversal of 123022440040 is 40044220321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 60952696996 + 62069743044 = 246886^2 + 249138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123022439993 and 123022440020.

It is not an unprimeable number, because it can be changed into a prime (123022440041) by changing a digit.

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, 505779 + ... + 708418.

Almost surely, 2123022440040 is an apocalyptic number.

123022440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123022440040 is an abundant number, since it is smaller than the sum of its proper divisors (172027673960).

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

123022440040 is a wasteful number, since it uses less digits than its factorization.

123022440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214374 (or 1214370 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 123022440040 its reverse (40044220321), we get a palindrome (163066660361).

The spelling of 123022440040 in words is "one hundred twenty-three billion, twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 596 680 745 1192 1490 2533 2980 5066 5960 10132 12665 20264 25330 50660 101320 1214197 2428394 4856788 6070985 9713576 12141970 20641349 24283940 41282698 48567880 82565396 103206745 165130792 180915353 206413490 361830706 412826980 723661412 825653960 904576765 1447322824 1809153530 3075561001 3618307060 6151122002 7236614120 12302244004 15377805005 24604488008 30755610010 61511220020 123022440040