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14240042640 = 24325127155731
BaseRepresentation
bin11010100001100010…
…11100111010010000
31100202102011010011200
431100301130322100
5213130422331030
610313005311200
71012611236205
oct152061347220
940672133150
1014240042640
11604815088a
122914b65500
13145c276245
1499131dcac
1558524bd60
hex350c5ce90

14240042640 has 120 divisors (see below), whose sum is σ = 48199676928. Its totient is φ = 3767420160.

The previous prime is 14240042599. The next prime is 14240042659. The reversal of 14240042640 is 4624004241.

It is a happy number.

14240042640 is a `hidden beast` number, since 14 + 2 + 4 + 0 + 0 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13575 + ... + 169305.

Almost surely, 214240042640 is an apocalyptic number.

14240042640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099838464).

14240042640 is an abundant number, since it is smaller than the sum of its proper divisors (33959634288).

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

14240042640 is a wasteful number, since it uses less digits than its factorization.

14240042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155877 (or 155868 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14240042640 its reverse (4624004241), we get a palindrome (18864046881).

The spelling of 14240042640 in words is "fourteen billion, two hundred forty million, forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1524 1905 2032 2286 2540 3048 3810 4572 5080 5715 6096 7620 9144 10160 11430 15240 18288 22860 30480 45720 91440 155731 311462 467193 622924 778655 934386 1245848 1401579 1557310 1868772 2335965 2491696 2803158 3114620 3737544 4671930 5606316 6229240 7007895 7475088 9343860 11212632 12458480 14015790 18687720 19777837 22425264 28031580 37375440 39555674 56063160 59333511 79111348 98889185 112126320 118667022 158222696 178000533 197778370 237334044 296667555 316445392 356001066 395556740 474668088 593335110 712002132 791113480 890002665 949336176 1186670220 1424004264 1582226960 1780005330 2373340440 2848008528 3560010660 4746680880 7120021320 14240042640