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432245434511044 = 227118536316440311
BaseRepresentation
bin110001001000111111111101…
…1100101000110111011000100
32002200110021000112010201020201
41202101333323211012323010
5423123402122213323134
64131150451124340244
7160021462546631140
oct14221777345067304
92080407015121221
10432245434511044
111157aa294191310
1240590089544684
131572575348729b
1478a4b0d7c0220
1534e8a67ec6914
hex1891ffb946ec4

432245434511044 has 48 divisors (see below), whose sum is σ = 943092053277696. Its totient is φ = 168405329066400.

The previous prime is 432245434510987. The next prime is 432245434511047. The reversal of 432245434511044 is 440115434542234.

It is a super-3 number, since 3×4322454345110443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 432245434510985 and 432245434511003.

It is not an unprimeable number, because it can be changed into a prime (432245434511047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18071649 + ... + 34511959.

It is an arithmetic number, because the mean of its divisors is an integer number (19647751109952).

Almost surely, 2432245434511044 is an apocalyptic number.

432245434511044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

432245434511044 is an abundant number, since it is smaller than the sum of its proper divisors (510846618766652).

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

432245434511044 is a wasteful number, since it uses less digits than its factorization.

432245434511044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525696 (or 16525694 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

The spelling of 432245434511044 in words is "four hundred thirty-two trillion, two hundred forty-five billion, four hundred thirty-four million, five hundred eleven thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 85363 170726 341452 597541 938993 1195082 1877986 2390164 3755972 6572951 13145902 16440311 26291804 32880622 65761244 115082177 180843421 230164354 361686842 460328708 723373684 1265903947 2531807894 5063615788 1403394267893 2806788535786 5613577071572 9823759875251 15437336946823 19647519750502 30874673893646 39295039501004 61749347787292 108061358627761 216122717255522 432245434511044