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412423141212 = 223329463284407
BaseRepresentation
bin1100000000001100101…
…01011011011101011100
31110102112110220022222000
412000012111123131130
523224120311004322
6513244203122300
741540141600415
oct6000625333534
91412473808860
10412423141212
111499a9125255
1267b1b813390
132cb78357584
1415d6608a80c
15aadc39e3ac
hex600655b75c

412423141212 has 96 divisors (see below), whose sum is σ = 1108508620800. Its totient is φ = 132446736576.

The previous prime is 412423141177. The next prime is 412423141213. The reversal of 412423141212 is 212141324214.

412423141212 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 231 + 412 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (412423141213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307913 + ... + 1592319.

It is an arithmetic number, because the mean of its divisors is an integer number (11546964800).

Almost surely, 2412423141212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412423141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554254310400).

412423141212 is an abundant number, since it is smaller than the sum of its proper divisors (696085479588).

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

412423141212 is a wasteful number, since it uses less digits than its factorization.

412423141212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284912 (or 284904 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 412423141212 its reverse (212141324214), we get a palindrome (624564465426).

The spelling of 412423141212 in words is "four hundred twelve billion, four hundred twenty-three million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 463 522 783 926 1044 1389 1566 1852 2778 3132 4167 5556 8334 12501 13427 16668 25002 26854 40281 50004 53708 80562 120843 161124 241686 284407 362529 483372 568814 725058 853221 1137628 1450116 1706442 2559663 3412884 5119326 7678989 8247803 10238652 15357978 16495606 24743409 30715956 32991212 49486818 74230227 98973636 131680441 148460454 222690681 263360882 296920908 395041323 445381362 526721764 790082646 890762724 1185123969 1580165292 2370247938 3555371907 3818732789 4740495876 7110743814 7637465578 11456198367 14221487628 15274931156 22912396734 34368595101 45824793468 68737190202 103105785303 137474380404 206211570606 412423141212