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214143142344 = 23317539903031
BaseRepresentation
bin1100011101101111101…
…1010000100111001000
3202110202000002202110020
43013123323100213020
512002031121023334
6242213114420440
721320444451105
oct3073373204710
9673660082406
10214143142344
11828aa24839a
1235604131720
1317269498761
14a5165b9aac
155884e2ee49
hex31dbed09c8

214143142344 has 64 divisors (see below), whose sum is σ = 577544826240. Its totient is φ = 65914567680.

The previous prime is 214143142249. The next prime is 214143142363. The reversal of 214143142344 is 443241341412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4929892 + ... + 4973139.

It is an arithmetic number, because the mean of its divisors is an integer number (9024137910).

Almost surely, 2214143142344 is an apocalyptic number.

214143142344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214143142344 is an abundant number, since it is smaller than the sum of its proper divisors (363401683896).

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

214143142344 is a wasteful number, since it uses less digits than its factorization.

214143142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903110 (or 9903106 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 214143142344 its reverse (443241341412), we get a palindrome (657384483756).

The spelling of 214143142344 in words is "two hundred fourteen billion, one hundred forty-three million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 10812 21624 9903031 19806062 29709093 39612124 59418186 79224248 118836372 168351527 237672744 336703054 505054581 524860643 673406108 1010109162 1049721286 1346812216 1574581929 2020218324 2099442572 3149163858 4040436648 4198885144 6298327716 8922630931 12596655432 17845261862 26767892793 35690523724 53535785586 71381047448 107071571172 214143142344