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4242423345264 = 2432139972273071
BaseRepresentation
bin111101101111000100001…
…000101111000001110000
3120000120102202222121200100
4331233010020233001300
51024001440334022024
613004535315352400
7615335130305346
oct75570410570160
916016382877610
104242423345264
111396224418a95
12586262bb2700
1324a09c26aa70
141094977a7996
157554da4e7c9
hex3dbc422f070

4242423345264 has 120 divisors (see below), whose sum is σ = 12799022879552. Its totient is φ = 1304051166720.

The previous prime is 4242423345211. The next prime is 4242423345271. The reversal of 4242423345264 is 4625433242424.

4242423345264 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 42 + 3 + 345 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729849 + ... + 3002919.

Almost surely, 24242423345264 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 4242423345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399511439776).

4242423345264 is an abundant number, since it is smaller than the sum of its proper divisors (8556599534288).

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

4242423345264 is a wasteful number, since it uses less digits than its factorization.

4242423345264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274095 (or 2274086 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 45.

Adding to 4242423345264 its reverse (4625433242424), we get a palindrome (8867856587688).

The spelling of 4242423345264 in words is "four trillion, two hundred forty-two billion, four hundred twenty-three million, three hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 997 1872 1994 2991 3988 5982 7976 8973 11964 12961 15952 17946 23928 25922 35892 38883 47856 51844 71784 77766 103688 116649 143568 155532 207376 233298 311064 466596 622128 933192 1866384 2273071 4546142 6819213 9092284 13638426 18184568 20457639 27276852 29549923 36369136 40915278 54553704 59099846 81830556 88649769 109107408 118199692 163661112 177299538 236399384 265949307 327322224 354599076 472798768 531898614 709198152 1063797228 1418396304 2127594456 2266251787 4255188912 4532503574 6798755361 9065007148 13597510722 18130014296 20396266083 27195021444 29461273231 36260028592 40792532166 54390042888 58922546462 81585064332 88383819693 108780085776 117845092924 163170128664 176767639386 235690185848 265151459079 326340257328 353535278772 471380371696 530302918158 707070557544 1060605836316 1414141115088 2121211672632 4242423345264