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400343343320421 = 321789216113604933
BaseRepresentation
bin101101100000111000011001…
…0110001000100110101100101
31221111111110010221021221210200
41123001300302301010311211
5404433211131342223141
63535243105401541113
7150216565153665444
oct13301606261046545
91844443127257720
10400343343320421
1110661a727414066
1238a9927b7a4799
13142502a4c9b207
1470c0a14dacd5b
153143cb0a82ab6
hex16c1c32c44d65

400343343320421 has 48 divisors (see below), whose sum is σ = 619456045506480. Its totient is φ = 248258445557760.

The previous prime is 400343343320377. The next prime is 400343343320483. The reversal of 400343343320421 is 124023343343004.

400343343320421 is a `hidden beast` number, since 40 + 0 + 34 + 334 + 33 + 204 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25730763502500 + 374612579817921 = 5072550^2 + 19354911^2 .

It is not a de Polignac number, because 400343343320421 - 210 = 400343343319397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400343343320021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22623871 + ... + 36228803.

It is an arithmetic number, because the mean of its divisors is an integer number (12905334281385).

Almost surely, 2400343343320421 is an apocalyptic number.

It is an amenable number.

400343343320421 is a deficient number, since it is larger than the sum of its proper divisors (219112702186059).

400343343320421 is a wasteful number, since it uses less digits than its factorization.

400343343320421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607206 (or 13607203 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 400343343320421 its reverse (124023343343004), we get a palindrome (524366686663425).

The spelling of 400343343320421 in words is "four hundred trillion, three hundred forty-three billion, three hundred forty-three million, three hundred twenty thousand, four hundred twenty-one".

Divisors: 1 3 9 17 51 89 153 267 801 1513 2161 4539 6483 13617 19449 36737 110211 192329 330633 576987 1730961 3269593 9808779 13604933 29426337 40814799 122444397 231283861 693851583 1210839037 2081554749 3632517111 10897551333 20584263629 29400260213 61752790887 88200780639 185258372661 264602341917 499804423621 1499413270863 2616623158957 4498239812589 7849869476871 23549608430613 44482593702269 133447781106807 400343343320421