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434142413244 = 2232163128957397
BaseRepresentation
bin1100101000101001110…
…01111000000110111100
31112111121010112200001200
412110110321320012330
524103110424210434
6531235310335500
743236311424261
oct6242471700674
91474533480050
10434142413244
1115813408a851
12701814ba590
1331c29c98727
1417026833268
15b45e029199
hex6514e781bc

434142413244 has 72 divisors (see below), whose sum is σ = 1105024000080. Its totient is φ = 143712237312.

The previous prime is 434142413239. The next prime is 434142413249. The reversal of 434142413244 is 442314241434.

434142413244 is a `hidden beast` number, since 4 + 341 + 4 + 241 + 32 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (434142413239) and next prime (434142413249).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 434142413199 and 434142413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434142413249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7535154 + ... + 7592550.

Almost surely, 2434142413244 is an apocalyptic number.

It is an amenable number.

434142413244 is an abundant number, since it is smaller than the sum of its proper divisors (670881586836).

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

434142413244 is a wasteful number, since it uses less digits than its factorization.

434142413244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58859 (or 58854 counting only the distinct ones).

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

Adding to 434142413244 its reverse (442314241434), we get a palindrome (876456654678).

The spelling of 434142413244 in words is "four hundred thirty-four billion, one hundred forty-two million, four hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1289 1467 1956 2578 2934 3867 5156 5868 7734 11601 15468 23202 46404 57397 114794 172191 210107 229588 344382 420214 516573 630321 688764 840428 1033146 1260642 1890963 2066292 2521284 3781926 7563852 9355711 18711422 28067133 37422844 56134266 73984733 84201399 112268532 147969466 168402798 221954199 295938932 336805596 443908398 665862597 887816796 1331725194 2663450388 12059511479 24119022958 36178534437 48238045916 72357068874 108535603311 144714137748 217071206622 434142413244