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442213551377 = 1322616648233
BaseRepresentation
bin1100110111101011111…
…10110100110100010001
31120021102121210222010122
412123311332310310101
524221123132121002
6535052231040025
743643315111243
oct6336576646421
91507377728118
10442213551377
111605a6026344
1271854510015
1332915188400
1417590738093
15b7828c76a2
hex66f5fb4d11

442213551377 has 6 divisors (see below), whose sum is σ = 478846626822. Its totient is φ = 408197124192.

The previous prime is 442213551371. The next prime is 442213551383. The reversal of 442213551377 is 773155312244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442213551371) and next prime (442213551383).

It can be written as a sum of positive squares in 3 ways, for example, as 29688668416 + 412524882961 = 172304^2 + 642281^2 .

It is not a de Polignac number, because 442213551377 - 24 = 442213551361 is a prime.

It is a super-2 number, since 2×4422135513772 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442213551371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1308323948 + ... + 1308324285.

It is an arithmetic number, because the mean of its divisors is an integer number (79807771137).

Almost surely, 2442213551377 is an apocalyptic number.

It is an amenable number.

442213551377 is a deficient number, since it is larger than the sum of its proper divisors (36633075445).

442213551377 is a wasteful number, since it uses less digits than its factorization.

442213551377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616648259 (or 2616648246 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The spelling of 442213551377 in words is "four hundred forty-two billion, two hundred thirteen million, five hundred fifty-one thousand, three hundred seventy-seven".

Divisors: 1 13 169 2616648233 34016427029 442213551377