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4202144144 = 241122170529
BaseRepresentation
bin1111101001110111…
…1010000110010000
3101211212002001002022
43322131322012100
532101222103034
61532550311012
7206063431052
oct37235720620
911755061068
104202144144
111867001100
12993358468
1351c779933
142bc1338d2
15198da4b2e
hexfa77a190

4202144144 has 30 divisors (see below), whose sum is σ = 8949095190. Its totient is φ = 1910064640.

The previous prime is 4202144143. The next prime is 4202144171. The reversal of 4202144144 is 4414412024.

It can be written as a sum of positive squares in only one way, i.e., 3409158544 + 792985600 = 58388^2 + 28160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202144143) 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 5 ways as a sum of consecutive naturals, for example, 1083329 + ... + 1087200.

It is an arithmetic number, because the mean of its divisors is an integer number (298303173).

Almost surely, 24202144144 is an apocalyptic number.

4202144144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4202144144 is an abundant number, since it is smaller than the sum of its proper divisors (4746951046).

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

4202144144 is a wasteful number, since it uses less digits than its factorization.

4202144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170559 (or 2170542 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4202144144 is about 64823.9473034464. The cubic root of 4202144144 is about 1613.7031567251.

Adding to 4202144144 its reverse (4414412024), we get a palindrome (8616556168).

The spelling of 4202144144 in words is "four billion, two hundred two million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2170529 4341058 8682116 17364232 23875819 34728464 47751638 95503276 191006552 262634009 382013104 525268018 1050536036 2101072072 4202144144