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420426851409 = 33412271673081
BaseRepresentation
bin1100001111000110110…
…01001010010001010001
31111012012021021221022000
412013203121022101101
523342013233221114
6521050314304213
742242366162445
oct6074331122121
91435167257260
10420426851409
11152335aa7184
1269594128069
1330852599376
14164c503c825
15ae09d7de09
hex61e364a451

420426851409 has 32 divisors (see below), whose sum is σ = 640857329280. Its totient is φ = 272243577600.

The previous prime is 420426851381. The next prime is 420426851419. The reversal of 420426851409 is 904158624024.

It is a happy number.

420426851409 is a `hidden beast` number, since 4 + 2 + 0 + 426 + 85 + 140 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-420426851409 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420426851419) 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 31 ways as a sum of consecutive naturals, for example, 585252 + ... + 1087829.

It is an arithmetic number, because the mean of its divisors is an integer number (20026791540).

Almost surely, 2420426851409 is an apocalyptic number.

It is an amenable number.

420426851409 is a deficient number, since it is larger than the sum of its proper divisors (220430477871).

420426851409 is a wasteful number, since it uses less digits than its factorization.

420426851409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673358 (or 1673352 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 420426851409 in words is "four hundred twenty billion, four hundred twenty-six million, eight hundred fifty-one thousand, four hundred nine".

Divisors: 1 3 9 27 41 123 227 369 681 1107 2043 6129 9307 27921 83763 251289 1673081 5019243 15057729 45173187 68596321 205788963 379789387 617366889 1139368161 1852100667 3418104483 10254313449 15571364867 46714094601 140142283803 420426851409