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14022340422432 = 2531438710152641
BaseRepresentation
bin1100110000001101010010…
…0111101010101100100000
31211122112010000101000000120
43030003110213222230200
53314220223122004212
645453435123520240
72645036444663346
oct314032447525440
954575100330016
1014022340422432
114516928674721
1216a5759529080
137a93bb487914
14366983505996
15194b4737288c
hexcc0d49eab20

14022340422432 has 48 divisors (see below), whose sum is σ = 36811205700192. Its totient is φ = 4673788129280.

The previous prime is 14022340422421. The next prime is 14022340422547. The reversal of 14022340422432 is 23422404322041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14022340422393 and 14022340422402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3695169 + ... + 6457472.

It is an arithmetic number, because the mean of its divisors is an integer number (766900118754).

Almost surely, 214022340422432 is an apocalyptic number.

14022340422432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14022340422432 is an abundant number, since it is smaller than the sum of its proper divisors (22788865277760).

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

14022340422432 is a wasteful number, since it uses less digits than its factorization.

14022340422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167041 (or 10167033 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14022340422432 its reverse (23422404322041), we get a palindrome (37444744744473).

The spelling of 14022340422432 in words is "fourteen trillion, twenty-two billion, three hundred forty million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14387 28774 43161 57548 86322 115096 172644 230192 345288 460384 690576 1381152 10152641 20305282 30457923 40610564 60915846 81221128 121831692 162442256 243663384 324884512 487326768 974653536 146066046067 292132092134 438198138201 584264184268 876396276402 1168528368536 1752792552804 2337056737072 3505585105608 4674113474144 7011170211216 14022340422432