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420433443342 = 232115633771583
BaseRepresentation
bin1100001111000111100…
…10010011101000001110
31111012012201200211201200
412013203302103220032
523342021430141332
6521051111450330
742242506206063
oct6074362235016
91435181624650
10420433443342
11152339799860
12695963869a6
1330853a66913
14164c5c76c6a
15ae0a73217c
hex61e3c93a0e

420433443342 has 48 divisors (see below), whose sum is σ = 995517139968. Its totient is φ = 127177745040.

The previous prime is 420433443341. The next prime is 420433443361. The reversal of 420433443342 is 243344334024.

420433443342 is a `hidden beast` number, since 4 + 204 + 3 + 3 + 443 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420433443297 and 420433443306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420433443341) by changing a digit.

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, 1774318 + ... + 1997265.

It is an arithmetic number, because the mean of its divisors is an integer number (20739940416).

Almost surely, 2420433443342 is an apocalyptic number.

420433443342 is an abundant number, since it is smaller than the sum of its proper divisors (575083696626).

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

420433443342 is a wasteful number, since it uses less digits than its factorization.

420433443342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772165 (or 3772162 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 420433443342 its reverse (243344334024), we get a palindrome (663777777366).

The spelling of 420433443342 in words is "four hundred twenty billion, four hundred thirty-three million, four hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 563 1126 1689 3378 5067 6193 10134 12386 18579 37158 55737 111474 3771583 7543166 11314749 22629498 33944247 41487413 67888494 82974826 124462239 248924478 373386717 746773434 2123401229 4246802458 6370203687 12740407374 19110611061 23357413519 38221222122 46714827038 70072240557 140144481114 210216721671 420433443342