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434441307884420 = 22553409850290457
BaseRepresentation
bin110001011000111110011111…
…1110101010000101110000100
32002222020011221201021220012002
41202301330333311100232010
5423420341244304300140
64135551325343444432
7160336230414425624
oct14261747765205604
92088204851256162
10434441307884420
11116476584491671
1240885776bb6718
1315854841111c05
14793d100278884
153535c36ede415
hex18b1f3fd50b84

434441307884420 has 24 divisors (see below), whose sum is σ = 929540458758744. Its totient is φ = 170497720829696.

The previous prime is 434441307884383. The next prime is 434441307884443. The reversal of 434441307884420 is 24488703144434.

It can be written as a sum of positive squares in 4 ways, for example, as 25027927795264 + 409413380089156 = 5002792^2 + 20233966^2 .

It is a super-2 number, since 2×4344413078844202 (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, 204925144169 + ... + 204925146288.

It is an arithmetic number, because the mean of its divisors is an integer number (38730852448281).

Almost surely, 2434441307884420 is an apocalyptic number.

It is an amenable number.

434441307884420 is an abundant number, since it is smaller than the sum of its proper divisors (495099150874324).

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

434441307884420 is a wasteful number, since it uses less digits than its factorization.

434441307884420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409850290519 (or 409850290517 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 56.

The spelling of 434441307884420 in words is "four hundred thirty-four trillion, four hundred forty-one billion, three hundred seven million, eight hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 409850290457 819700580914 1639401161828 2049251452285 4098502904570 8197005809140 21722065394221 43444130788442 86888261576884 108610326971105 217220653942210 434441307884420