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14419355680 = 255611477393
BaseRepresentation
bin11010110110111010…
…11110100000100000
31101012220120011102101
431123131132200200
5214012323340210
610342452500144
71020216333562
oct153335364040
941186504371
1014419355680
11612a394384
12296501a654
13148a469532
149ab079332
15595d6ba3a
hex35b75e820

14419355680 has 48 divisors (see below), whose sum is σ = 34624205784. Its totient is φ = 5673185280.

The previous prime is 14419355663. The next prime is 14419355689. The reversal of 14419355680 is 8655391441.

14419355680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10008801936 + 4410553744 = 100044^2 + 66412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14419355680.

It is not an unprimeable number, because it can be changed into a prime (14419355689) by changing a digit.

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, 728937 + ... + 748456.

Almost surely, 214419355680 is an apocalyptic number.

14419355680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14419355680 is an abundant number, since it is smaller than the sum of its proper divisors (20204850104).

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

14419355680 is a wasteful number, since it uses less digits than its factorization.

14419355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477469 (or 1477461 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 14419355680 in words is "fourteen billion, four hundred nineteen million, three hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 1477393 2954786 5909572 7386965 11819144 14773930 23638288 29547860 47276576 59095720 90120973 118191440 180241946 236382880 360483892 450604865 720967784 901209730 1441935568 1802419460 2883871136 3604838920 7209677840 14419355680