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12144254040 = 2332533734039
BaseRepresentation
bin10110100111101101…
…01001110001011000
31011100100120000200200
423103312221301120
5144332412112130
65325021302200
7606642312312
oct132366516130
934310500620
1012144254040
115172129896
12242b104960
1311b7001249
14832c4c7b2
154b1267760
hex2d3da9c58

12144254040 has 48 divisors (see below), whose sum is σ = 39468826800. Its totient is φ = 3238467648.

The previous prime is 12144254029. The next prime is 12144254051. The reversal of 12144254040 is 4045244121.

12144254040 is a `hidden beast` number, since 1 + 214 + 42 + 5 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12144254029) and next prime (12144254051).

It is a junction number, because it is equal to n+sod(n) for n = 12144253995 and 12144254013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16866660 + ... + 16867379.

It is an arithmetic number, because the mean of its divisors is an integer number (822267225).

Almost surely, 212144254040 is an apocalyptic number.

12144254040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144254040 is an abundant number, since it is smaller than the sum of its proper divisors (27324572760).

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

12144254040 is a wasteful number, since it uses less digits than its factorization.

12144254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33734056 (or 33734049 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12144254040 its reverse (4045244121), we get a palindrome (16189498161).

The spelling of 12144254040 in words is "twelve billion, one hundred forty-four million, two hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33734039 67468078 101202117 134936156 168670195 202404234 269872312 303606351 337340390 404808468 506010585 607212702 674680780 809616936 1012021170 1214425404 1349361560 1518031755 2024042340 2428850808 3036063510 4048084680 6072127020 12144254040