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14062062432 = 2531121796763
BaseRepresentation
bin11010001100010101…
…00000101101100000
31100022000020210020010
431012022200231200
5212244341444212
610243210444520
71005320362365
oct150612405540
940260223203
1014062062432
115a66738700
122885433740
13143142b802
1497583046c
155747e203c
hex3462a0b60

14062062432 has 144 divisors (see below), whose sum is σ = 40806400320. Its totient is φ = 4236798720.

The previous prime is 14062062409. The next prime is 14062062433. The reversal of 14062062432 is 23426026041.

It is a self number, because there is not a number n which added to its sum of digits gives 14062062432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14062062433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2075883 + ... + 2082645.

It is an arithmetic number, because the mean of its divisors is an integer number (283377780).

Almost surely, 214062062432 is an apocalyptic number.

14062062432 is a gapful number since it is divisible by the number (12) 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 14062062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403200160).

14062062432 is an abundant number, since it is smaller than the sum of its proper divisors (26744337888).

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

14062062432 is a wasteful number, since it uses less digits than its factorization.

14062062432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6958 counting only the distinct ones).

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

Adding to 14062062432 its reverse (23426026041), we get a palindrome (37488088473).

The spelling of 14062062432 in words is "fourteen billion, sixty-two million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 179 242 264 352 358 363 484 528 537 716 726 968 1056 1074 1432 1452 1936 1969 2148 2864 2904 3872 3938 4296 5728 5808 5907 6763 7876 8592 11616 11814 13526 15752 17184 20289 21659 23628 27052 31504 40578 43318 47256 54104 63008 64977 74393 81156 86636 94512 108208 129954 148786 162312 173272 189024 216416 223179 259908 297572 324624 346544 446358 519816 595144 649248 693088 818323 892716 1039632 1190288 1210577 1636646 1785432 2079264 2380576 2421154 2454969 3273292 3570864 3631731 4842308 4909938 6546584 7141728 7263462 9684616 9819876 13093168 13316347 14526924 19369232 19639752 26186336 26632694 29053848 38738464 39279504 39949041 53265388 58107696 78559008 79898082 106530776 116215392 146479817 159796164 213061552 292959634 319592328 426123104 439439451 585919268 639184656 878878902 1171838536 1278369312 1757757804 2343677072 3515515608 4687354144 7031031216 14062062432