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14434342014204 = 22327173369360881
BaseRepresentation
bin1101001000001100000111…
…0101000000110011111100
31220002220120010001101212100
43102003001311000303330
53342443013023423304
650411013431505100
73016563310511010
oct322030165006374
956086503041770
1014434342014204
11466562a845602
12175157bb28190
138091ca397148
1437c8a95bc540
151a070c703439
hexd20c1d40cfc

14434342014204 has 72 divisors (see below), whose sum is σ = 44152104997728. Its totient is φ = 3881503733760.

The previous prime is 14434342014203. The next prime is 14434342014223. The reversal of 14434342014204 is 40241024343441.

14434342014204 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 434 + 2 + 0 + 14 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434342014203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1684676157 + ... + 1684684724.

It is an arithmetic number, because the mean of its divisors is an integer number (613223680524).

Almost surely, 214434342014204 is an apocalyptic number.

14434342014204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14434342014204 is an abundant number, since it is smaller than the sum of its proper divisors (29717762983524).

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

14434342014204 is a wasteful number, since it uses less digits than its factorization.

14434342014204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369360915 (or 3369360910 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14434342014204 its reverse (40241024343441), we get a palindrome (54675366357645).

The spelling of 14434342014204 in words is "fourteen trillion, four hundred thirty-four billion, three hundred forty-two million, fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 3369360881 6738721762 10108082643 13477443524 20216165286 23585526167 30324247929 40432330572 47171052334 57279134977 60648495858 70756578501 94342104668 114558269954 121296991716 141513157002 171837404931 212269735503 229116539908 283026314004 343674809862 400953944839 424539471006 515512214793 687349619724 801907889678 849078942012 1031024429586 1202861834517 1603815779356 2062048859172 2405723669034 3608585503551 4811447338068 7217171007102 14434342014204