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442422514133392 = 24139721928157917
BaseRepresentation
bin110010010011000011000010…
…0110010111010100110010000
32011000111011211200220211022111
41210212012010302322212100
5430442122302104232032
64204542032552315104
7162121654223254132
oct14446060462724620
92130434750824274
10442422514133392
11118a7337532a561
12417545449a2a94
1315cb3358200020
147b3751490b052
15362365905ac47
hex1926184cba990

442422514133392 has 40 divisors (see below), whose sum is σ = 932648412568376. Its totient is φ = 202089903353856.

The previous prime is 442422514133387. The next prime is 442422514133419. The reversal of 442422514133392 is 293331415224244.

It can be written as a sum of positive squares in 4 ways, for example, as 42503150069136 + 399919364064256 = 6519444^2 + 19997984^2 .

It is a super-2 number, since 2×4424225141333922 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10964058783 + ... + 10964099134.

Almost surely, 2442422514133392 is an apocalyptic number.

It is an amenable number.

442422514133392 is an abundant number, since it is smaller than the sum of its proper divisors (490225898434984).

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

442422514133392 is a wasteful number, since it uses less digits than its factorization.

442422514133392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21928158035 (or 21928158029 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 49.

The spelling of 442422514133392 in words is "four hundred forty-two trillion, four hundred twenty-two billion, five hundred fourteen million, one hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176 21928157917 43856315834 87712631668 175425263336 285066052921 350850526672 570132105842 1140264211684 2127031317949 2280528423368 4254062635898 4561056846736 8508125271796 17016250543592 27651407133337 34032501087184 55302814266674 110605628533348 221211257066696 442422514133392