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12401141040024 = 2331153886302247
BaseRepresentation
bin1011010001110101110110…
…0110110100001110011000
31121220112111211201022102220
42310131131212310032120
53111140014101240044
642213001110424040
72416644556415562
oct264353546641630
947815454638386
1012401141040024
113a51326902490
121483511062020
136bc56554a929
1430c30b524332
151678aeaaa019
hexb475d9b4398

12401141040024 has 64 divisors (see below), whose sum is σ = 34459431402240. Its totient is φ = 3687017343360.

The previous prime is 12401141040017. The next prime is 12401141040097. The reversal of 12401141040024 is 42004014110421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12401141039976 and 12401141040003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443137132 + ... + 443165115.

It is an arithmetic number, because the mean of its divisors is an integer number (538428615660).

Almost surely, 212401141040024 is an apocalyptic number.

It is an amenable number.

12401141040024 is an abundant number, since it is smaller than the sum of its proper divisors (22058290362216).

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

12401141040024 is a wasteful number, since it uses less digits than its factorization.

12401141040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886302320 (or 886302316 counting only the distinct ones).

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

Adding to 12401141040024 its reverse (42004014110421), we get a palindrome (54405155150445).

The spelling of 12401141040024 in words is "twelve trillion, four hundred one billion, one hundred forty-one million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 886302247 1772604494 2658906741 3545208988 5317813482 7090417976 9749324717 10635626964 19498649434 21271253928 29247974151 38997298868 46974019091 58495948302 77994597736 93948038182 116991896604 140922057273 187896076364 233983793208 281844114546 375792152728 516714210001 563688229092 1033428420002 1127376458184 1550142630003 2066856840004 3100285260006 4133713680008 6200570520012 12401141040024