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1414144212 = 2231361173859
BaseRepresentation
bin101010001001010…
…0010000011010100
310122112221222011120
41110102202003110
510344010103322
6352154003540
750021012265
oct12422420324
93575858146
101414144212
1166627a528
123357165b0
13196c91730
14d5b5496c
158423aa5c
hex544a20d4

1414144212 has 96 divisors (see below), whose sum is σ = 3636850560. Its totient is φ = 425018880.

The previous prime is 1414144211. The next prime is 1414144253. The reversal of 1414144212 is 2124414141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414144211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645839 + ... + 1646697.

It is an arithmetic number, because the mean of its divisors is an integer number (37883860).

Almost surely, 21414144212 is an apocalyptic number.

1414144212 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 1414144212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818425280).

1414144212 is an abundant number, since it is smaller than the sum of its proper divisors (2222706348).

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

1414144212 is a wasteful number, since it uses less digits than its factorization.

1414144212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1111 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1414144212 is about 37605.1088550479. The cubic root of 1414144212 is about 1122.4437002002.

Adding to 1414144212 its reverse (2124414141), we get a palindrome (3538558353).

The spelling of 1414144212 in words is "one billion, four hundred fourteen million, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 173 183 244 346 366 519 692 732 793 859 1038 1586 1718 2076 2249 2379 2577 3172 3436 4498 4758 5154 6747 8996 9516 10308 10553 11167 13494 21106 22334 26988 31659 33501 42212 44668 52399 63318 67002 104798 126636 134004 137189 148607 157197 209596 274378 297214 314394 411567 445821 548756 594428 628788 681187 823134 891642 1362374 1646268 1783284 1931891 2043561 2724748 3863782 4087122 5795673 7727564 8174244 9065027 11591346 18130054 23182692 27195081 36260108 54390162 108780324 117845351 235690702 353536053 471381404 707072106 1414144212