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12430041410403 = 3423111721312803
BaseRepresentation
bin1011010011100001100000…
…1100111110101101100011
31122000022002221212020120000
42310320120030332231203
53112123211100113103
642234140541551043
72422020004463301
oct264703014765543
948008087766500
1012430041410403
113a62607364501
121489037875483
136c21bcb617c6
1430d88d8c9271
15168501dc2aa3
hexb4e1833eb63

12430041410403 has 80 divisors (see below), whose sum is σ = 19409020790016. Its totient is φ = 7912766854080.

The previous prime is 12430041410399. The next prime is 12430041410419. The reversal of 12430041410403 is 30401414003421.

12430041410403 is a `hidden beast` number, since 1 + 243 + 0 + 0 + 4 + 1 + 4 + 10 + 403 = 666.

It is not a de Polignac number, because 12430041410403 - 22 = 12430041410399 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12430041410503) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4434547800 + ... + 4434550602.

Almost surely, 212430041410403 is an apocalyptic number.

12430041410403 is a deficient number, since it is larger than the sum of its proper divisors (6978979379613).

12430041410403 is a wasteful number, since it uses less digits than its factorization.

12430041410403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12430041410403 its reverse (30401414003421), we get a palindrome (42831455413824).

The spelling of 12430041410403 in words is "twelve trillion, four hundred thirty billion, forty-one million, four hundred ten thousand, four hundred three".

Divisors: 1 3 9 23 27 69 81 207 621 1117 1863 2131 2803 3351 6393 8409 10053 19179 25227 25691 30159 49013 57537 64469 75681 77073 90477 147039 172611 193407 227043 231219 441117 580221 693657 1323351 1740663 2080971 2380327 3130951 3970053 5221989 5973193 7140981 9392853 17919579 21422943 28178559 53758737 54747521 64268829 72011873 84535677 137383439 161276211 164242563 192806487 216035619 253607031 412150317 483828633 492727689 648106857 1236450951 1478183067 1944320571 3709352853 4434549201 5832961713 6672056581 11128058559 20016169743 60048509229 153457301363 180145527687 460371904089 540436583061 1381115712267 4143347136801 12430041410403