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12404144535354 = 23211134819014971
BaseRepresentation
bin1011010010000001000010…
…1000001111011100111010
31121220211021011022200110200
42310200100220033130322
53111212142000112404
642214215122023030
72420112156616665
oct264402050173472
947824234280420
1012404144535354
113a5262823aa30
12148400aaa7a76
136bc9238870c0
1430c51439a6dc
151679d85de839
hexb4810a0f73a

12404144535354 has 48 divisors (see below), whose sum is σ = 31574186096544. Its totient is φ = 3469690778400.

The previous prime is 12404144535337. The next prime is 12404144535371. The reversal of 12404144535354 is 45353544140421.

12404144535354 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 41 + 44 + 535 + 35 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12404144535337) and next prime (12404144535371).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2409504912 + ... + 2409510059.

It is an arithmetic number, because the mean of its divisors is an integer number (657795543678).

Almost surely, 212404144535354 is an apocalyptic number.

12404144535354 is an abundant number, since it is smaller than the sum of its proper divisors (19170041561190).

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

12404144535354 is a wasteful number, since it uses less digits than its factorization.

12404144535354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819015003 (or 4819015000 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 12404144535354 its reverse (45353544140421), we get a palindrome (57757688675775).

The spelling of 12404144535354 in words is "twelve trillion, four hundred four billion, one hundred forty-four million, five hundred thirty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 4819014971 9638029942 14457044913 28914089826 43371134739 53009164681 62647194623 86742269478 106018329362 125294389246 159027494043 187941583869 318054988086 375883167738 477082482129 563824751607 689119140853 954164964258 1127649503214 1378238281706 2067357422559 4134714845118 6202072267677 12404144535354