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420314002432 = 210911450563
BaseRepresentation
bin1100001110111001010…
…10101011010000000000
31111011220101221121121021
412013130222223100000
523341300341034212
6521031203435224
742236526033622
oct6073452532000
91434811847537
10420314002432
1115228832a065
1269562385b14
13308350a731c
14164b4064c12
15adeeedc307
hex61dcaab400

420314002432 has 44 divisors (see below), whose sum is σ = 841141711296. Its totient is φ = 209925847040.

The previous prime is 420314002421. The next prime is 420314002441. The reversal of 420314002432 is 234200413024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420314002397 and 420314002406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707583 + ... + 1158145.

Almost surely, 2420314002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420314002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420570855648).

420314002432 is an abundant number, since it is smaller than the sum of its proper divisors (420827708864).

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

420314002432 is an equidigital number, since it uses as much as digits as its factorization.

420314002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451494 (or 451476 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 420314002432 its reverse (234200413024), we get a palindrome (654514415456).

The spelling of 420314002432 in words is "four hundred twenty billion, three hundred fourteen million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 911 1024 1822 3644 7288 14576 29152 58304 116608 233216 450563 466432 901126 932864 1802252 3604504 7209008 14418016 28836032 57672064 115344128 230688256 410462893 461376512 820925786 1641851572 3283703144 6567406288 13134812576 26269625152 52539250304 105078500608 210157001216 420314002432