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442243262342244 = 223112304575249547
BaseRepresentation
bin110010010001101111100100…
…0100011100110010001100100
32010222212001011100001100122210
41210203133020203212101210
5430431203200124422434
64204323430000323420
7162103010211213006
oct14443371043462144
92128761140040583
10442243262342244
11118a04350374800
1241725859913570
1315c9c48c5a6c0c
147b2c98c238376
15361db67398ee9
hex19237c88e6464

442243262342244 has 36 divisors (see below), whose sum is σ = 1134238229316752. Its totient is φ = 134013109800240.

The previous prime is 442243262342221. The next prime is 442243262342263.

442243262342244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4422432623422442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442243262342193 and 442243262342202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152287623322 + ... + 152287626225.

Almost surely, 2442243262342244 is an apocalyptic number.

442243262342244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442243262342244 is an abundant number, since it is smaller than the sum of its proper divisors (691994966974508).

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

442243262342244 is a wasteful number, since it uses less digits than its factorization.

442243262342244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304575249576 (or 304575249563 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 48.

The spelling of 442243262342244 in words is "four hundred forty-two trillion, two hundred forty-three billion, two hundred sixty-two million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 304575249547 609150499094 913725748641 1218300998188 1827451497282 3350327745017 3654902994564 6700655490034 10050983235051 13401310980068 20101966470102 36853605195187 40203932940204 73707210390374 110560815585561 147414420780748 221121631171122 442243262342244