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14022324230432 = 257613607284509
BaseRepresentation
bin1100110000001101001110…
…1001111001100100100000
31211122112001212220100202212
43030003103221321210200
53314220210000333212
645453433344501252
72645036160234350
oct314032351714440
954575055810685
1014022324230432
11451691a515401
1216a575401a828
137a93b800885b
143669812ccb60
15194b45c24e22
hexcc0d3a79920

14022324230432 has 96 divisors (see below), whose sum is σ = 32076449475840. Its totient is φ = 5909390484480.

The previous prime is 14022324230429. The next prime is 14022324230503. The reversal of 14022324230432 is 23403242322041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49143794 + ... + 49428302.

It is an arithmetic number, because the mean of its divisors is an integer number (334129682040).

Almost surely, 214022324230432 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 14022324230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038224737920).

14022324230432 is an abundant number, since it is smaller than the sum of its proper divisors (18054125245408).

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

14022324230432 is a wasteful number, since it uses less digits than its factorization.

14022324230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288194 (or 288186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 14022324230432 its reverse (23403242322041), we get a palindrome (37425566552473).

The spelling of 14022324230432 in words is "fourteen trillion, twenty-two billion, three hundred twenty-four million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 3607 6832 7214 13664 14428 25249 28856 50498 57712 100996 115424 201992 220027 284509 403984 440054 569018 807968 880108 1138036 1540189 1760216 1991563 2276072 3080378 3520432 3983126 4552144 6160756 7040864 7966252 9104288 12321512 15932504 17355049 24643024 31865008 34710098 49286048 63730016 69420196 121485343 138840392 242970686 277680784 485941372 555361568 971882744 1026223963 1943765488 2052447926 3887530976 4104895852 7183567741 8209791704 14367135482 16419583408 28734270964 32839166816 57468541928 62599661743 114937083856 125199323486 229874167712 250398646972 438197632201 500797293944 876395264402 1001594587888 1752790528804 2003189175776 3505581057608 7011162115216 14022324230432