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406143353421 = 331326110114447
BaseRepresentation
bin1011110100100000000…
…01111100001001001101
31102211022211101001121000
411322100001330021031
523123240144302141
6510325113330513
741225416354251
oct5722001741115
91384284331530
10406143353421
11147276375793
1266868706a39
132c3b7319900
141592c04a261
15a870deb5b6
hex5e9007c24d

406143353421 has 96 divisors (see below), whose sum is σ = 668822192640. Its totient is φ = 243386208000.

The previous prime is 406143353417. The next prime is 406143353423. The reversal of 406143353421 is 124353341604.

406143353421 is a `hidden beast` number, since 4 + 0 + 61 + 43 + 3 + 534 + 21 = 666.

It is not a de Polignac number, because 406143353421 - 22 = 406143353417 is a prime.

It is a super-3 number, since 3×4061433534213 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406143353423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28105420 + ... + 28119866.

It is an arithmetic number, because the mean of its divisors is an integer number (6966897840).

Almost surely, 2406143353421 is an apocalyptic number.

It is an amenable number.

406143353421 is a deficient number, since it is larger than the sum of its proper divisors (262678839219).

406143353421 is a wasteful number, since it uses less digits than its factorization.

406143353421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14625 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 406143353421 in words is "four hundred six billion, one hundred forty-three million, three hundred fifty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 61 101 117 169 183 303 351 507 549 793 909 1313 1521 1647 2379 2727 3939 4563 6161 7137 10309 11817 14447 17069 18483 21411 30927 35451 43341 51207 55449 80093 92781 130023 153621 166347 187811 240279 278343 390069 460863 563433 720837 881267 1041209 1459147 1690299 2162511 2441543 2643801 3123627 4377441 5070897 7324629 7931403 9370881 11456471 13132323 18968911 21973887 23794209 28112643 34369413 39396969 56906733 65921661 89007967 103108239 148934123 170720199 246595843 267023901 309324717 446802369 512160597 739787529 801071703 1157103571 1340407107 2219362587 2403215109 3471310713 4021221321 6658087761 10413932139 15042346423 31241796417 45127039269 135381117807 406143353421