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42320203344 = 24328326913163
BaseRepresentation
bin100111011010011110…
…110000111001010000
311001020100221002010200
4213122132300321100
51143132433001334
631235220455200
73025506536016
oct473236607120
9131210832120
1042320203344
1116a47719171
128250b4a500
133cb597c553
1420967b88b6
15117a549799
hex9da7b0e50

42320203344 has 120 divisors (see below), whose sum is σ = 120319486560. Its totient is φ = 13883909376.

The previous prime is 42320203309. The next prime is 42320203361. The reversal of 42320203344 is 44330202324.

42320203344 is a `hidden beast` number, since 4 + 2 + 320 + 2 + 0 + 334 + 4 = 666.

42320203344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423202033442 (a number of 22 digits) contains 22 as substring.

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, 3208507 + ... + 3221669.

It is an arithmetic number, because the mean of its divisors is an integer number (1002662388).

Almost surely, 242320203344 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 42320203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60159743280).

42320203344 is an abundant number, since it is smaller than the sum of its proper divisors (77999283216).

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

42320203344 is a wasteful number, since it uses less digits than its factorization.

42320203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42320203344 its reverse (44330202324), we get a palindrome (86650405668).

It can be divided in two parts, 4232020 and 3344, that added together give a square (4235364 = 20582).

The spelling of 42320203344 in words is "forty-two billion, three hundred twenty million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 269 332 498 538 664 747 807 996 1076 1328 1494 1614 1992 2152 2421 2988 3228 3984 4304 4842 5976 6456 9684 11952 12912 13163 19368 22327 26326 38736 39489 44654 52652 66981 78978 89308 105304 118467 133962 157956 178616 200943 210608 236934 267924 315912 357232 401886 473868 535848 631824 803772 947736 1071696 1092529 1607544 1895472 2185058 3215088 3277587 3540847 4370116 6555174 7081694 8740232 9832761 10622541 13110348 14163388 17480464 19665522 21245082 26220696 28326776 31867623 39331044 42490164 52441392 56653552 63735246 78662088 84980328 127470492 157324176 169960656 254940984 293890301 509881968 587780602 881670903 1175561204 1763341806 2351122408 2645012709 3526683612 4702244816 5290025418 7053367224 10580050836 14106734448 21160101672 42320203344