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4434212440428 = 22323349106943063
BaseRepresentation
bin100000010000110101110…
…1010000100100101101100
3120200220110220000010020020
41000201223222010211230
51040122231341043203
613233014333322140
7635234626566321
oct100415352044554
916626426003206
104434212440428
11145a5a2360921
125b7468936350
132621b5442164
1411488d1a0b48
157a526218153
hex4086ba8496c

4434212440428 has 96 divisors (see below), whose sum is σ = 10837658496000. Its totient is φ = 1408404374784.

The previous prime is 4434212440421. The next prime is 4434212440429. The reversal of 4434212440428 is 8240442124344.

It is a self number, because there is not a number n which added to its sum of digits gives 4434212440428.

It is not an unprimeable number, because it can be changed into a prime (4434212440421) 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 31 ways as a sum of consecutive naturals, for example, 102948825 + ... + 102991887.

It is an arithmetic number, because the mean of its divisors is an integer number (112892276000).

Almost surely, 24434212440428 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 4434212440428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418829248000).

4434212440428 is an abundant number, since it is smaller than the sum of its proper divisors (6403446055572).

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

4434212440428 is a wasteful number, since it uses less digits than its factorization.

4434212440428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44511 (or 44509 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

The spelling of 4434212440428 in words is "four trillion, four hundred thirty-four billion, two hundred twelve million, four hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 349 698 1047 1069 1396 2094 2138 3207 4188 4276 6414 8027 12828 16054 24081 24587 32108 43063 48162 49174 73761 86126 96324 98348 129189 147522 172252 258378 295044 373081 516756 746162 990449 1119243 1492324 1980898 2238486 2971347 3961796 4476972 5942694 8580863 11885388 15028987 17161726 25742589 30057974 34323452 45086961 46034347 51485178 60115948 90173922 92068694 102970356 138103041 180347844 184137388 276206082 345666701 552412164 691333402 1037000103 1058789981 1382666804 2074000206 2117579962 3176369943 4148000412 4235159924 6352739886 12705479772 16065987103 32131974206 48197961309 64263948412 96395922618 192791845236 369517703369 739035406738 1108553110107 1478070813476 2217106220214 4434212440428