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314122220224434 = 232233271276376391
BaseRepresentation
bin100011101101100010100011…
…1010110100011111110110010
31112012012210100121210020110200
41013123011013112203332302
5312133034301334140214
63032025431130540030
7123110403306664446
oct10733050726437662
91465183317706420
10314122220224434
11910a8538192756
122b292ba7b97616
13106377a150609b
14577d84d030826
15264b08e5c6d09
hex11db1475a3fb2

314122220224434 has 48 divisors (see below), whose sum is σ = 686041379322624. Its totient is φ = 103873302417600.

The previous prime is 314122220224367. The next prime is 314122220224451. The reversal of 314122220224434 is 434422022221413.

314122220224434 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 2 + 2 + 2 + 202 + 2 + 443 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137051622 + ... + 139324769.

It is an arithmetic number, because the mean of its divisors is an integer number (14292528735888).

Almost surely, 2314122220224434 is an apocalyptic number.

314122220224434 is an abundant number, since it is smaller than the sum of its proper divisors (371919159098190).

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

314122220224434 is a wasteful number, since it uses less digits than its factorization.

314122220224434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276376903 (or 276376900 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 314122220224434 its reverse (434422022221413), we get a palindrome (748544242445847).

The spelling of 314122220224434 in words is "three hundred fourteen trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 233 271 466 542 699 813 1398 1626 2097 2439 4194 4878 63143 126286 189429 378858 568287 1136574 276376391 552752782 829129173 1658258346 2487387519 4974775038 64395699103 74898001961 128791398206 149796003922 193187097309 224694005883 386374194618 449388011766 579561291927 674082017649 1159122583854 1348164035298 17451234456913 34902468913826 52353703370739 104707406741478 157061110112217 314122220224434