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14104404321440 = 255209594205951
BaseRepresentation
bin1100110100111111000000…
…0000100110010010100000
31211221100221012002000012112
43031033300000212102200
53322041310001241230
645555250210014452
72654003200423256
oct315176000462240
954840835060175
1014104404321440
11454870a5a1664
1216b9640577428
137b406907a644
1436a92a4105d6
15196d4bb26d95
hexcd3f00264a0

14104404321440 has 48 divisors (see below), whose sum is σ = 33323252981760. Its totient is φ = 5641491206400.

The previous prime is 14104404321433. The next prime is 14104404321479. The reversal of 14104404321440 is 4412340440141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14104404321397 and 14104404321406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250465 + ... + 5456415.

It is an arithmetic number, because the mean of its divisors is an integer number (694234437120).

Almost surely, 214104404321440 is an apocalyptic number.

14104404321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104404321440 is an abundant number, since it is smaller than the sum of its proper divisors (19218848660320).

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

14104404321440 is a wasteful number, since it uses less digits than its factorization.

14104404321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226925 (or 4226917 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14104404321440 its reverse (4412340440141), we get a palindrome (18516744761581).

The spelling of 14104404321440 in words is "fourteen trillion, one hundred four billion, four hundred four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20959 41918 83836 104795 167672 209590 335344 419180 670688 838360 1676720 3353440 4205951 8411902 16823804 21029755 33647608 42059510 67295216 84119020 134590432 168238040 336476080 672952160 88152527009 176305054018 352610108036 440762635045 705220216072 881525270090 1410440432144 1763050540180 2820880864288 3526101080360 7052202160720 14104404321440