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14004434004 = 22311219150497
BaseRepresentation
bin11010000101011101…
…01011010001010100
31100010222210221212220
431002232223101110
5212140113342004
610233351342340
71004020503441
oct150256532124
940128727786
1014004434004
115a37157600
12286a0819b0
131422502152
1496bd0c9c8
1556e70bdd9
hex342bab454

14004434004 has 72 divisors (see below), whose sum is σ = 36106473984. Its totient is φ = 4221465600.

The previous prime is 14004433957. The next prime is 14004434009. The reversal of 14004434004 is 40043440041.

It is a super-2 number, since 2×140044340042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004434009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252084 + ... + 302580.

Almost surely, 214004434004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053236992).

14004434004 is an abundant number, since it is smaller than the sum of its proper divisors (22102039980).

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

14004434004 is a wasteful number, since it uses less digits than its factorization.

14004434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50717 (or 50704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14004434004 its reverse (40043440041), we get a palindrome (54047874045).

The spelling of 14004434004 in words is "fourteen billion, four million, four hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 191 242 363 382 484 573 726 764 1146 1452 2101 2292 4202 6303 8404 12606 23111 25212 46222 50497 69333 92444 100994 138666 151491 201988 277332 302982 555467 605964 1110934 1666401 2221868 3332802 6110137 6665604 9644927 12220274 18330411 19289854 24440548 28934781 36660822 38579708 57869562 73321644 106094197 115739124 212188394 318282591 424376788 636565182 1167036167 1273130364 2334072334 3501108501 4668144668 7002217002 14004434004