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321421024440144 = 2433744030149167
BaseRepresentation
bin100100100010101001010100…
…1111111000010111101010000
31120011001112211211121002221000
41021011102221333002331100
5314112130224224041034
63055334440303502000
7124462621423120626
oct11105225177027520
91504045754532830
10321421024440144
119346198895a912
123007166a8b7900
1310a46b45cb3935
145952c09655516
152725d724cd599
hex12454a9fc2f50

321421024440144 has 40 divisors (see below), whose sum is σ = 922597384968320. Its totient is φ = 107140341479904.

The previous prime is 321421024440073. The next prime is 321421024440151. The reversal of 321421024440144 is 441044420124123.

321421024440144 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 1 + 0 + 244 + 401 + 4 + 4 = 666.

It is a super-2 number, since 2×3214210244401442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321421024440099 and 321421024440108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372015074152 + ... + 372015075015.

It is an arithmetic number, because the mean of its divisors is an integer number (23064934624208).

Almost surely, 2321421024440144 is an apocalyptic number.

It is an amenable number.

321421024440144 is an abundant number, since it is smaller than the sum of its proper divisors (601176360528176).

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

321421024440144 is a wasteful number, since it uses less digits than its factorization.

321421024440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744030149184 (or 744030149172 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 321421024440144 its reverse (441044420124123), we get a palindrome (762465444564267).

The spelling of 321421024440144 in words is "three hundred twenty-one trillion, four hundred twenty-one billion, twenty-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 744030149167 1488060298334 2232090447501 2976120596668 4464180895002 5952241193336 6696271342503 8928361790004 11904482386672 13392542685006 17856723580008 20088814027509 26785085370012 35713447160016 40177628055018 53570170740024 80355256110036 107140341480048 160710512220072 321421024440144