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14325133440 = 27357461007
BaseRepresentation
bin11010101011101100…
…00011000010000000
31100222100021011210210
431111312003002000
5213314213232230
610325245154120
71014663424302
oct152566030200
940870234723
1014325133440
116091189862
12293955b940
131473a99827
1499c74d972
1558c958eb0
hex355d83080

14325133440 has 64 divisors (see below), whose sum is σ = 45661368960. Its totient is φ = 3820035072.

The previous prime is 14325133423. The next prime is 14325133457. The reversal of 14325133440 is 4433152341.

It is an interprime number because it is at equal distance from previous prime (14325133423) and next prime (14325133457).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14325133398 and 14325133407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3728584 + ... + 3732423.

It is an arithmetic number, because the mean of its divisors is an integer number (713458890).

Almost surely, 214325133440 is an apocalyptic number.

14325133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14325133440 is an abundant number, since it is smaller than the sum of its proper divisors (31336235520).

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

14325133440 is an equidigital number, since it uses as much as digits as its factorization.

14325133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461029 (or 7461017 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14325133440 its reverse (4433152341), we get a palindrome (18758285781).

The spelling of 14325133440 in words is "fourteen billion, three hundred twenty-five million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7461007 14922014 22383021 29844028 37305035 44766042 59688056 74610070 89532084 111915105 119376112 149220140 179064168 223830210 238752224 298440280 358128336 447660420 477504448 596880560 716256672 895320840 955008896 1193761120 1432513344 1790641680 2387522240 2865026688 3581283360 4775044480 7162566720 14325133440