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1412314332 = 22311132713037
BaseRepresentation
bin101010000101110…
…0011010011011100
310122102112000001020
41110023203103130
510343023024312
6352050444140
746666321332
oct12413432334
93572460036
101412314332
1166523a730
12334b93650
131967a0870
14d57d9b52
1583ec878c
hex542e34dc

1412314332 has 96 divisors (see below), whose sum is σ = 3887084544. Its totient is φ = 393465600.

The previous prime is 1412314313. The next prime is 1412314357. The reversal of 1412314332 is 2334132141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463518 + ... + 466554.

It is an arithmetic number, because the mean of its divisors is an integer number (40490464).

Almost surely, 21412314332 is an apocalyptic number.

1412314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943542272).

1412314332 is an abundant number, since it is smaller than the sum of its proper divisors (2474770212).

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

1412314332 is a wasteful number, since it uses less digits than its factorization.

1412314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3337 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1412314332 is about 37580.7707744266. The cubic root of 1412314332 is about 1121.9593498257.

Adding to 1412314332 its reverse (2334132141), we get a palindrome (3746446473).

The spelling of 1412314332 in words is "one billion, four hundred twelve million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 271 286 429 542 572 813 858 1084 1626 1716 2981 3037 3252 3523 5962 6074 7046 8943 9111 10569 11924 12148 14092 17886 18222 21138 33407 35772 36444 38753 39481 42276 66814 77506 78962 100221 116259 118443 133628 155012 157924 200442 232518 236886 400884 434291 465036 473772 823027 868582 1302873 1646054 1737164 2469081 2605746 3292108 4938162 5211492 9053297 9876324 10699351 18106594 21398702 27159891 32098053 36213188 42797404 54319782 64196106 108639564 117692861 128392212 235385722 353078583 470771444 706157166 1412314332