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421481414656 = 2223172
BaseRepresentation
bin1100010001000100100…
…00000000000000000000
31111021220202122022010001
412020202100000000000
523401143220232111
6521343105245344
742310462625041
oct6104220000000
91437822568101
10421481414656
111528272a8155
1269829333854
133098cbcb9a3
14165851108c8
15ae6c73c1c1
hex6222400000

421481414656 has 69 divisors (see below), whose sum is σ = 845630305849. Its totient is φ = 210075910144.

The previous prime is 421481414617. The next prime is 421481414671. The reversal of 421481414656 is 656414184124.

The square root of 421481414656 is 649216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23592960000 + 397888454656 = 153600^2 + 630784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1329594210 + ... + 1329594526.

Almost surely, 2421481414656 is an apocalyptic number.

421481414656 is the 649216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421481414656

421481414656 is an abundant number, since it is smaller than the sum of its proper divisors (424148891193).

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

421481414656 is an frugal number, since it uses more digits than its factorization.

421481414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 319 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 421481414656 in words is "four hundred twenty-one billion, four hundred eighty-one million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 1024 1268 2048 2536 4096 5072 8192 10144 16384 20288 32768 40576 65536 81152 100489 131072 162304 200978 262144 324608 401956 524288 649216 803912 1048576 1298432 1607824 2097152 2596864 3215648 4194304 5193728 6431296 10387456 12862592 20774912 25725184 41549824 51450368 83099648 102900736 166199296 205801472 332398592 411602944 664797184 823205888 1329594368 1646411776 3292823552 6585647104 13171294208 26342588416 52685176832 105370353664 210740707328 421481414656