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420334444512 = 25322881750647
BaseRepresentation
bin1100001110111011110…
…00101001111111100000
31111011221211102011212100
412013131320221333200
523341321104211022
6521033213530400
742240164553543
oct6073570517740
91434854364770
10420334444512
11152298921544
12695691a3a00
13308393b3a28
14164b6a6685a
15ae01bc91ac
hex61dde29fe0

420334444512 has 72 divisors (see below), whose sum is σ = 1195391158416. Its totient is φ = 140103853056.

The previous prime is 420334444507. The next prime is 420334444531. The reversal of 420334444512 is 215444433024.

420334444512 is a `hidden beast` number, since 4 + 203 + 3 + 4 + 4 + 445 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8273973 + ... + 8324619.

It is an arithmetic number, because the mean of its divisors is an integer number (16602654978).

Almost surely, 2420334444512 is an apocalyptic number.

It is an amenable number.

420334444512 is an abundant number, since it is smaller than the sum of its proper divisors (775056713904).

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

420334444512 is a wasteful number, since it uses less digits than its factorization.

420334444512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79480 (or 79469 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 420334444512 its reverse (215444433024), we get a palindrome (635778877536).

The spelling of 420334444512 in words is "four hundred twenty billion, three hundred thirty-four million, four hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28817 50647 57634 86451 101294 115268 151941 172902 202588 230536 259353 303882 345804 405176 455823 461072 518706 607764 691608 810352 911646 922144 1037412 1215528 1383216 1620704 1823292 2074824 2431056 2766432 3646584 4149648 4862112 7293168 8299296 14586336 1459494599 2918989198 4378483797 5837978396 8756967594 11675956792 13135451391 17513935188 23351913584 26270902782 35027870376 46703827168 52541805564 70055740752 105083611128 140111481504 210167222256 420334444512