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12314042000 = 245313473617
BaseRepresentation
bin10110111011111100…
…10101111010010000
31011210012001010222122
423131332111322100
5200204343321000
65353524353412
7614103426041
oct133576257220
934705033878
1012314042000
115249a57017
122477b45868
13121323abb0
1484b6088c8
154c1105085
hex2ddf95e90

12314042000 has 80 divisors (see below), whose sum is σ = 32065833072. Its totient is φ = 4546713600.

The previous prime is 12314041979. The next prime is 12314042003. The reversal of 12314042000 is 24041321.

It can be written as a sum of positive squares in 8 ways, for example, as 3888270736 + 8425771264 = 62356^2 + 91792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12314042000.

It is not an unprimeable number, because it can be changed into a prime (12314042003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210809 + ... + 262808.

Almost surely, 212314042000 is an apocalyptic number.

12314042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314042000 is an abundant number, since it is smaller than the sum of its proper divisors (19751791072).

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

12314042000 is a wasteful number, since it uses less digits than its factorization.

12314042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473653 (or 473637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12314042000 its reverse (24041321), we get a palindrome (12338083321).

The spelling of 12314042000 in words is "twelve billion, three hundred fourteen million, forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 473617 947234 1894468 2368085 3788936 4736170 6157021 7577872 9472340 11840425 12314042 18944680 23680850 24628084 30785105 37889360 47361700 49256168 59202125 61570210 94723400 98512336 118404250 123140420 153925525 189446800 236808500 246280840 307851050 473617000 492561680 615702100 769627625 947234000 1231404200 1539255250 2462808400 3078510500 6157021000 12314042000