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442037686730244 = 223112563953987173
BaseRepresentation
bin110010010000001111110101…
…1010010110111111000000100
32010222010101112102021020101020
41210200133223102313320010
5430414321140300331434
64204045150533431140
7162052111645305303
oct14440375322677004
92128111472236336
10442037686730244
11118935148295800
12416b1a46a9b4b0
1315c85c8a0bc057
147b22a4985a43a
1536186346bb849
hex19207eb4b7e04

442037686730244 has 72 divisors (see below), whose sum is σ = 1133912050904640. Its totient is φ = 133927057323840.

The previous prime is 442037686730119. The next prime is 442037686730249.

442037686730244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4420376867302443 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442037686730249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18805759 + ... + 35181414.

Almost surely, 2442037686730244 is an apocalyptic number.

442037686730244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442037686730244 is an abundant number, since it is smaller than the sum of its proper divisors (691874364174396).

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

442037686730244 is a wasteful number, since it uses less digits than its factorization.

442037686730244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53992841 (or 53992828 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 60.

The spelling of 442037686730244 in words is "four hundred forty-two trillion, thirty-seven billion, six hundred eighty-six million, seven hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 5639 11278 16917 22556 33834 62029 67668 124058 186087 248116 372174 682319 744348 1364638 2046957 2729276 4093914 8187828 53987173 107974346 161961519 215948692 323923038 593858903 647846076 1187717806 1781576709 2375435612 3563153418 6532447933 7126306836 13064895866 19597343799 26129791732 39194687598 78389375196 304433668547 608867337094 913301005641 1217734674188 1826602011282 3348770354017 3653204022564 6697540708034 10046311062051 13395081416068 20092622124102 36836473894187 40185244248204 73672947788374 110509421682561 147345895576748 221018843365122 442037686730244