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214341143412 = 223113743886393
BaseRepresentation
bin1100011110011110111…
…0100100101101110100
3202111020210200020212010
43013213232210231310
512002432313042122
6242244510324220
721325400441514
oct3074756445564
9674223606763
10214341143412
11829a0a95540
123565a4b9670
131729b502c56
14a5349db844
1558974e1e0c
hex31e7ba4b74

214341143412 has 48 divisors (see below), whose sum is σ = 560341478592. Its totient is φ = 63196404480.

The previous prime is 214341143411. The next prime is 214341143417.

It is a happy number.

214341143412 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214341143412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214341143411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21938313 + ... + 21948080.

It is an arithmetic number, because the mean of its divisors is an integer number (11673780804).

Almost surely, 2214341143412 is an apocalyptic number.

214341143412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214341143412 is an abundant number, since it is smaller than the sum of its proper divisors (346000335180).

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

214341143412 is a wasteful number, since it uses less digits than its factorization.

214341143412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43886448 (or 43886446 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 214341 and 143412, that added together give a palindrome (357753).

The spelling of 214341143412 in words is "two hundred fourteen billion, three hundred forty-one million, one hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 43886393 87772786 131659179 175545572 263318358 482750323 526636716 965500646 1448250969 1623796541 1931001292 2896501938 3247593082 4871389623 5793003876 6495186164 9742779246 17861761951 19485558492 35723523902 53585285853 71447047804 107170571706 214341143412