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21411141432012 = 22325316676731717
BaseRepresentation
bin1001101111001001010110…
…11110101011001011001100
32210210212220021000200121200
410313210223132223023030
510301300004201311022
6113312050444225500
74336622021211003
oct467445336531314
983725807020550
1021411141432012
116905461173082
122499757b3b290
13bc40a6204317
1454043a431c3a
15271e461c0bac
hex13792b7ab2cc

21411141432012 has 72 divisors (see below), whose sum is σ = 55176876636336. Its totient is φ = 6998184246144.

The previous prime is 21411141431993. The next prime is 21411141432017. The reversal of 21411141432012 is 21023414111412.

21411141432012 is a `hidden beast` number, since 2 + 1 + 41 + 1 + 1 + 414 + 3 + 201 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21411141432017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185223 + ... + 6546494.

It is an arithmetic number, because the mean of its divisors is an integer number (766345508838).

Almost surely, 221411141432012 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 21411141432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588438318168).

21411141432012 is an abundant number, since it is smaller than the sum of its proper divisors (33765735204324).

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

21411141432012 is a wasteful number, since it uses less digits than its factorization.

21411141432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733447 (or 6733442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21411141432012 its reverse (21023414111412), we get a palindrome (42434555543424).

The spelling of 21411141432012 in words is "twenty-one trillion, four hundred eleven billion, one hundred forty-one million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1667 1908 3334 5001 6668 10002 15003 20004 30006 60012 88351 176702 265053 353404 530106 795159 1060212 1590318 3180636 6731717 13463434 20195151 26926868 40390302 60585453 80780604 121170906 242341812 356781001 713562002 1070343003 1427124004 2140686006 3211029009 4281372012 6422058018 11221772239 12844116036 22443544478 33665316717 44887088956 67330633434 100995950151 134661266868 201991900302 403983800604 594753928667 1189507857334 1784261786001 2379015714668 3568523572002 5352785358003 7137047144004 10705570716006 21411141432012