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42002210420 = 225171091133357
BaseRepresentation
bin100111000111100001…
…101101111001110100
311000102012120100211222
4213013201231321310
51142010031213140
631143501045512
73014565616652
oct470741557164
9130365510758
1042002210420
11168a41753a5
128182556898
133c64b21a61
14206647ddd2
15115c6845b5
hex9c786de74

42002210420 has 48 divisors (see below), whose sum is σ = 94250051280. Its totient is φ = 15667513344.

The previous prime is 42002210399. The next prime is 42002210489. The reversal of 42002210420 is 2401220024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1523184784 + 40479025636 = 39028^2 + 201194^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529619 + ... + 603738.

It is an arithmetic number, because the mean of its divisors is an integer number (1963542735).

Almost surely, 242002210420 is an apocalyptic number.

It is an amenable number.

42002210420 is an abundant number, since it is smaller than the sum of its proper divisors (52247840860).

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

42002210420 is a wasteful number, since it uses less digits than its factorization.

42002210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133492 (or 1133490 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 42002210420 its reverse (2401220024), we get a palindrome (44403430444).

The spelling of 42002210420 in words is "forty-two billion, two million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 37060 1133357 2266714 4533428 5666785 11333570 19267069 22667140 38534138 77068276 96335345 123535913 192670690 247071826 385341380 494143652 617679565 1235359130 2100110521 2470718260 4200221042 8400442084 10500552605 21001105210 42002210420