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442545604106727 = 31134288513911069
BaseRepresentation
bin110010010011111100010110…
…1100001111001100111100111
32011000220221120001102100100210
41210213320231201321213213
5431001131344122403402
64205114351025510503
7162133602422624142
oct14447705541714747
92130827501370323
10442545604106727
1111901059a418350
12417743774a2433
1315cc1b43611684
147b3d47039b059
15362696042906c
hex1927e2d8799e7

442545604106727 has 16 divisors (see below), whose sum is σ = 643703049198720. Its totient is φ = 268209310236000.

The previous prime is 442545604106651. The next prime is 442545604106747. The reversal of 442545604106727 is 727601406545244.

It is a happy number.

It is not a de Polignac number, because 442545604106727 - 211 = 442545604104679 is a prime.

It is a super-2 number, since 2×4425456041067272 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442545604106747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111196549 + ... + 115107617.

It is an arithmetic number, because the mean of its divisors is an integer number (40231440574920).

Almost surely, 2442545604106727 is an apocalyptic number.

442545604106727 is a deficient number, since it is larger than the sum of its proper divisors (201157445091993).

442545604106727 is a wasteful number, since it uses less digits than its factorization.

442545604106727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339934.

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 442545604106727 in words is "four hundred forty-two trillion, five hundred forty-five billion, six hundred four million, one hundred six thousand, seven hundred twenty-seven".

Divisors: 1 3 11 33 3428851 3911069 10286553 11733207 37717361 43021759 113152083 129065277 13410472851719 40231418555157 147515201368909 442545604106727