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39940422201 = 32666172
BaseRepresentation
bin100101001100101000…
…100111101000111001
310211002111221200010100
4211030220213220321
51123244222002301
630203125510013
72612521662411
oct451450475071
9124074850110
1039940422201
1115a36366399
1278a7b72309
1339c6922824
141d0c6dd641
15108b669286
hex94ca27a39

39940422201 has 9 divisors (see below), whose sum is σ = 57692586991. Its totient is φ = 26626548432.

The previous prime is 39940422187. The next prime is 39940422211. The reversal of 39940422201 is 10222404993.

The square root of 39940422201 is 199851.

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

39940422201 is a `hidden beast` number, since 399 + 4 + 0 + 42 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10791225 + 39929630976 = 3285^2 + 199824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 39940422201 - 217 = 39940291129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39940422211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 566245 + ... + 632861.

Almost surely, 239940422201 is an apocalyptic number.

39940422201 is the 199851-st square number.

39940422201 is the 99926-th centered octagonal number.

It is an amenable number.

39940422201 is a deficient number, since it is larger than the sum of its proper divisors (17752164790).

39940422201 is an frugal number, since it uses more digits than its factorization.

39940422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133240 (or 66620 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 39940422201 by its sum of digits (36), we get a square (1437855199236 = 11991062).

The spelling of 39940422201 in words is "thirty-nine billion, nine hundred forty million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 66617 199851 599553 4437824689 13313474067 39940422201