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23411411412 = 22319271563673
BaseRepresentation
bin10101110011011011…
…011100100111010100
32020102120200220221120
4111303123130213110
5340421310131122
614431031443540
71456104466524
oct256333344724
966376626846
1023411411412
119a241499a4
1246545265b0
13229139787c
1411c13c3684
159204c975c
hex5736dc9d4

23411411412 has 96 divisors (see below), whose sum is σ = 57902315520. Its totient is φ = 7341788160.

The previous prime is 23411411411. The next prime is 23411411437. The reversal of 23411411412 is 21411411432.

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 not an unprimeable number, because it can be changed into a prime (23411411411) 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, 34786308 + ... + 34786980.

It is an arithmetic number, because the mean of its divisors is an integer number (603149120).

Almost surely, 223411411412 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 23411411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28951157760).

23411411412 is an abundant number, since it is smaller than the sum of its proper divisors (34490904108).

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

23411411412 is a wasteful number, since it uses less digits than its factorization.

23411411412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 23411411412 its reverse (21411411432), we get a palindrome (44822822844).

The spelling of 23411411412 in words is "twenty-three billion, four hundred eleven million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 271 542 563 673 813 1084 1126 1346 1626 1689 2019 2252 2692 3252 3378 4038 5149 6756 8076 10298 10697 12787 15447 20596 21394 25574 30894 32091 38361 42788 51148 61788 64182 76722 128364 152573 153444 182383 305146 364766 378899 457719 547149 610292 729532 757798 915438 1094298 1136697 1515596 1830876 2188596 2273394 2898887 3465277 4546788 5797774 6930554 7199081 8696661 10395831 11595548 13861108 14398162 17393322 20791662 21597243 28796324 34786644 41583324 43194486 86388972 102681629 205363258 308044887 410726516 616089774 1232179548 1950950951 3901901902 5852852853 7803803804 11705705706 23411411412