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434182314881 = 7230372917637
BaseRepresentation
bin1100101000101110100…
…10000101101110000001
31112111200220121212211002
412110113102011232001
524103201133034011
6531243253501345
743240304532500
oct6242722055601
91474626555732
10434182314881
11158154663507
1270192941855
1331c35329573
141702bc5c837
15b4627abc3b
hex6517485b81

434182314881 has 12 divisors (see below), whose sum is σ = 505235701908. Its totient is φ = 372033601632.

The previous prime is 434182314847. The next prime is 434182314889. The reversal of 434182314881 is 188413281434.

It can be written as a sum of positive squares in 2 ways, for example, as 372690714256 + 61491600625 = 610484^2 + 247975^2 .

It is a de Polignac number, because none of the positive numbers 2k-434182314881 is a prime.

It is a super-2 number, since 2×4341823148812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434182314889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310006 + ... + 1607631.

It is an arithmetic number, because the mean of its divisors is an integer number (42102975159).

Almost surely, 2434182314881 is an apocalyptic number.

It is an amenable number.

434182314881 is a deficient number, since it is larger than the sum of its proper divisors (71053387027).

434182314881 is a wasteful number, since it uses less digits than its factorization.

434182314881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920688 (or 2920681 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The spelling of 434182314881 in words is "four hundred thirty-four billion, one hundred eighty-two million, three hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 7 49 3037 21259 148813 2917637 20423459 142964213 8860863569 62026044983 434182314881