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14001223544 = 2372111372173
BaseRepresentation
bin11010000101000100…
…11011011101111000
31100010202202211221222
431002202123131320
5212133303123134
610233154451212
71003651302500
oct150242333570
940122684858
1014001223544
115a35364530
122868b93b08
131421949a79
1496b714a00
1556e2c5a2e
hex34289b778

14001223544 has 144 divisors (see below), whose sum is σ = 33753532680. Its totient is φ = 5383902720.

The previous prime is 14001223541. The next prime is 14001223547. The reversal of 14001223544 is 44532210041.

14001223544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14001223541) and next prime (14001223547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001223541) 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 35 ways as a sum of consecutive naturals, for example, 80931842 + ... + 80932014.

Almost surely, 214001223544 is an apocalyptic number.

14001223544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001223544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876766340).

14001223544 is an abundant number, since it is smaller than the sum of its proper divisors (19752309136).

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

14001223544 is a wasteful number, since it uses less digits than its factorization.

14001223544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14001223544 its reverse (44532210041), we get a palindrome (58533433585).

The spelling of 14001223544 in words is "fourteen billion, one million, two hundred twenty-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 137 154 173 196 274 308 346 392 539 548 616 692 959 1078 1096 1211 1384 1507 1903 1918 2156 2422 3014 3806 3836 4312 4844 6028 6713 7612 7672 8477 9688 10549 12056 13321 13426 15224 16954 18769 21098 23701 26642 26852 33908 37538 42196 47402 53284 53704 67816 73843 75076 84392 93247 94804 106568 131383 147686 150152 165907 186494 189608 206459 260711 262766 295372 331814 372988 412918 521422 525532 590744 663628 745976 825836 919681 1042844 1051064 1161349 1327256 1445213 1651672 1824977 1839362 2085688 2322698 2890426 3247037 3649954 3678724 4645396 5780852 6494074 7299908 7357448 9290792 10116491 11561704 12774839 12988148 14599816 20232982 22729259 25549678 25976296 35717407 40465964 45458518 51099356 71434814 80931928 90917036 102198712 142869628 159104813 181834072 250021849 285739256 318209626 500043698 636419252 1000087396 1272838504 1750152943 2000174792 3500305886 7000611772 14001223544