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40322246416 = 2417229532
BaseRepresentation
bin100101100011011001…
…001010011100010000
310212002010102100110221
4211203121022130100
51130034443341131
630305045402424
72625136303504
oct454331123420
9125063370427
1040322246416
11161119475a1
127993a09414
133a57a6c10a
141d472d2304
1510aee3c411
hex96364a710

40322246416 has 45 divisors (see below), whose sum is σ = 83018342271. Its totient is φ = 18968749056.

The previous prime is 40322246311. The next prime is 40322246417. The reversal of 40322246416 is 61464222304.

The square root of 40322246416 is 200804.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14207686416 + 26114560000 = 119196^2 + 161600^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40322246417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13653196 + ... + 13656148.

Almost surely, 240322246416 is an apocalyptic number.

40322246416 is the 200804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40322246416

40322246416 is an abundant number, since it is smaller than the sum of its proper divisors (42696095855).

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

40322246416 is an frugal number, since it uses more digits than its factorization.

40322246416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 40322246416 in words is "forty billion, three hundred twenty-two million, two hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 2953 4624 5906 11812 23624 47248 50201 100402 200804 401608 803216 853417 1706834 3413668 6827336 8720209 13654672 17440418 34880836 69761672 139523344 148243553 296487106 592974212 1185948424 2371896848 2520140401 5040280802 10080561604 20161123208 40322246416