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14442587340 = 22352310465643
BaseRepresentation
bin11010111001101100…
…00110010011001100
31101021112021110021020
431130312012103030
5214034300243330
610345042434140
71020620652426
oct153466062314
941245243236
1014442587340
1161415116a5
122970962950
13149221188c
149b01a5816
15597e0a210
hex35cd864cc

14442587340 has 48 divisors (see below), whose sum is σ = 42197476608. Its totient is φ = 3683905984.

The previous prime is 14442587321. The next prime is 14442587359. The reversal of 14442587340 is 4378524441.

14442587340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14442587321) and next prime (14442587359).

It is a junction number, because it is equal to n+sod(n) for n = 14442587292 and 14442587301.

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 15 ways as a sum of consecutive naturals, for example, 5231442 + ... + 5234201.

It is an arithmetic number, because the mean of its divisors is an integer number (879114096).

Almost surely, 214442587340 is an apocalyptic number.

14442587340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442587340 is an abundant number, since it is smaller than the sum of its proper divisors (27754889268).

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

14442587340 is a wasteful number, since it uses less digits than its factorization.

14442587340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465678 (or 10465676 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 14442587340 in words is "fourteen billion, four hundred forty-two million, five hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 10465643 20931286 31396929 41862572 52328215 62793858 104656430 125587716 156984645 209312860 240709789 313969290 481419578 627938580 722129367 962839156 1203548945 1444258734 2407097890 2888517468 3610646835 4814195780 7221293670 14442587340