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1412004132 = 22327112322147
BaseRepresentation
bin101010000101001…
…0111100100100100
310122101221020112100
41110022113210210
510342433113012
6352040052100
746663560060
oct12412274444
93571836470
101412004132
11665048670
12334a64030
131966c2606
14d5758aa0
1583e668dc
hex54297924

1412004132 has 144 divisors (see below), whose sum is σ = 4643638272. Its totient is φ = 350792640.

The previous prime is 1412004119. The next prime is 1412004137. The reversal of 1412004132 is 2314002141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1412004137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52683 + ... + 74829.

It is an arithmetic number, because the mean of its divisors is an integer number (32247488).

Almost surely, 21412004132 is an apocalyptic number.

1412004132 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 1412004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321819136).

1412004132 is an abundant number, since it is smaller than the sum of its proper divisors (3231634140).

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

1412004132 is a wasteful number, since it uses less digits than its factorization.

1412004132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22198 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1412004132 is about 37576.6434371140. The cubic root of 1412004132 is about 1121.8772016178.

Adding to 1412004132 its reverse (2314002141), we get a palindrome (3726006273).

The spelling of 1412004132 in words is "one billion, four hundred twelve million, four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 396 414 462 483 506 644 693 759 828 924 966 1012 1386 1449 1518 1771 1932 2277 2772 2898 3036 3542 4554 5313 5796 7084 9108 10626 15939 21252 22147 31878 44294 63756 66441 88588 132882 155029 199323 243617 265764 310058 398646 465087 487234 509381 620116 730851 797292 930174 974468 1018762 1395261 1461702 1528143 1705319 1860348 2037524 2192553 2790522 2923404 3056286 3410638 3565667 4385106 4584429 5115957 5581044 5603191 6112572 6821276 7131334 8770212 9168858 10231914 10697001 11206382 14262668 15347871 16809573 18337716 20463828 21394002 22412764 30695742 32091003 33619146 39222337 42788004 50428719 61391484 64182006 67238292 78444674 100857438 117667011 128364012 156889348 201714876 235334022 353001033 470668044 706002066 1412004132