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334344142301023 = 18127139729715779
BaseRepresentation
bin100110000000101011000111…
…1110101011010011101011111
31121211210222200010210022021101
41030001112033311122131133
5322310343300412113043
63143031324545213531
7130265365346365201
oct11401261765323537
91554728603708241
10334344142301023
1197594610aa4558
12315ba1749312a7
1311473695776b2a
145c7c4b2a28771
15289c0d226c24d
hex130158fd5a75f

334344142301023 has 32 divisors (see below), whose sum is σ = 338454277790720. Its totient is φ = 330267198096000.

The previous prime is 334344142300969. The next prime is 334344142301093. The reversal of 334344142301023 is 320103241443433.

It is a cyclic number.

It is not a de Polignac number, because 334344142301023 - 217 = 334344142169951 is a prime.

It is a super-4 number, since 4×3343441423010234 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334344142301093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57855013948 + ... + 57855019726.

It is an arithmetic number, because the mean of its divisors is an integer number (10576696180960).

Almost surely, 2334344142301023 is an apocalyptic number.

334344142301023 is a deficient number, since it is larger than the sum of its proper divisors (4110135489697).

334344142301023 is a wasteful number, since it uses less digits than its factorization.

334344142301023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 334344142301023 its reverse (320103241443433), we get a palindrome (654447383744456).

The spelling of 334344142301023 in words is "three hundred thirty-four trillion, three hundred forty-four billion, one hundred forty-two million, three hundred one thousand, twenty-three".

Divisors: 1 181 271 397 2971 5779 49051 71857 107587 537751 805141 1045999 1179487 1566109 2294263 17169409 19473247 145730521 213487147 283465729 319640977 415261603 621745273 3107663029 4652909839 6816255373 57855016837 112535894413 842176680859 1233742222513 1847205206083 334344142301023