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14005240040 = 23511231383917
BaseRepresentation
bin11010000101100011…
…10000000011101000
31100011001022220120002
431002301300003220
5212140320140130
610233420522132
71004030401421
oct150261600350
940131286502
1014005240040
115a37658150
12286a3b0348
131422724cac
1496c07c648
1556e81ab45
hex342c700e8

14005240040 has 64 divisors (see below), whose sum is σ = 35871154560. Its totient is φ = 4871384320.

The previous prime is 14005240031. The next prime is 14005240079. The reversal of 14005240040 is 4004250041.

It is a super-2 number, since 2×140052400402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14005239994 and 14005240021.

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 15 ways as a sum of consecutive naturals, for example, 681839 + ... + 702078.

It is an arithmetic number, because the mean of its divisors is an integer number (560486790).

Almost surely, 214005240040 is an apocalyptic number.

14005240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005240040 is an abundant number, since it is smaller than the sum of its proper divisors (21865914520).

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

14005240040 is a wasteful number, since it uses less digits than its factorization.

14005240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383962 (or 1383958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 14005240040 its reverse (4004250041), we get a palindrome (18009490081).

The spelling of 14005240040 in words is "fourteen billion, five million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1383917 2767834 5535668 6919585 11071336 13839170 15223087 27678340 30446174 31830091 55356680 60892348 63660182 76115435 121784696 127320364 152230870 159150455 254640728 304461740 318300910 350131001 608923480 636601820 700262002 1273203640 1400524004 1750655005 2801048008 3501310010 7002620020 14005240040