Search a number
-
+
14220134331240 = 2335201337588571
BaseRepresentation
bin1100111011101110001000…
…0011100011001101101000
31212100102122121111122022210
43032323202003203031220
53330440313342044430
650124350045445120
72665241120321535
oct316734203431550
955312577448283
1014220134331240
1145927a8125962
121717b5a2707a0
137c1c50721a96
14372388601d8c
15199d71cc52b0
hexceee20e3368

14220134331240 has 64 divisors (see below), whose sum is σ = 42660687360960. Its totient is φ = 3792010544640.

The previous prime is 14220134331239. The next prime is 14220134331251. The reversal of 14220134331240 is 4213343102241.

14220134331240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14220134331198 and 14220134331207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23866155 + ... + 24454725.

It is an arithmetic number, because the mean of its divisors is an integer number (666573240015).

Almost surely, 214220134331240 is an apocalyptic number.

14220134331240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14220134331240 is an abundant number, since it is smaller than the sum of its proper divisors (28440553029720).

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

14220134331240 is a wasteful number, since it uses less digits than its factorization.

14220134331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789922 (or 789918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14220134331240 its reverse (4213343102241), we get a palindrome (18433477433481).

The spelling of 14220134331240 in words is "fourteen trillion, two hundred twenty billion, one hundred thirty-four million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 201337 402674 588571 604011 805348 1006685 1177142 1208022 1610696 1765713 2013370 2354284 2416044 2942855 3020055 3531426 4026740 4708568 4832088 5885710 6040110 7062852 8053480 8828565 11771420 12080220 14125704 17657130 23542840 24160440 35314260 70628520 118501119427 237002238854 355503358281 474004477708 592505597135 711006716562 948008955416 1185011194270 1422013433124 1777516791405 2370022388540 2844026866248 3555033582810 4740044777080 7110067165620 14220134331240