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4220400141 = 324611017209
BaseRepresentation
bin1111101110001110…
…0011001000001101
3101220010102112121100
43323203203020031
532120410301031
61534441453313
7206404544406
oct37343431015
911803375540
104220400141
111876340101
129994a1239
1352349c2b9
142c07269ad
1519a7adde6
hexfb8e320d

4220400141 has 12 divisors (see below), whose sum is σ = 6109363260. Its totient is φ = 2807494080.

The previous prime is 4220400139. The next prime is 4220400143. The reversal of 4220400141 is 1410040224.

4220400141 is a `hidden beast` number, since 4 + 220 + 400 + 1 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (4220400139) and next prime (4220400143).

It can be written as a sum of positive squares in 2 ways, for example, as 1684774116 + 2535626025 = 41046^2 + 50355^2 .

It is not a de Polignac number, because 4220400141 - 21 = 4220400139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220400143) 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 11 ways as a sum of consecutive naturals, for example, 504456 + ... + 512753.

It is an arithmetic number, because the mean of its divisors is an integer number (509113605).

Almost surely, 24220400141 is an apocalyptic number.

It is an amenable number.

4220400141 is a deficient number, since it is larger than the sum of its proper divisors (1888963119).

4220400141 is a wasteful number, since it uses less digits than its factorization.

4220400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017676 (or 1017673 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4220400141 is about 64964.6068332596. The cubic root of 4220400141 is about 1616.0366638998.

Adding to 4220400141 its reverse (1410040224), we get a palindrome (5630440365).

The spelling of 4220400141 in words is "four billion, two hundred twenty million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 9 461 1383 4149 1017209 3051627 9154881 468933349 1406800047 4220400141