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4042051420 = 2251141448121
BaseRepresentation
bin1111000011101100…
…1100111101011100
3101102200211111011011
43300323030331130
531234231121140
61505031105004
7202110604321
oct36073147534
911380744134
104042051420
1117946a6070
12949812164
134c5555c04
142a4b7cb48
15189ccecea
hexf0eccf5c

4042051420 has 48 divisors (see below), whose sum is σ = 9485846496. Its totient is φ = 1433984000.

The previous prime is 4042051417. The next prime is 4042051423. The reversal of 4042051420 is 241502404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4042051417) and next prime (4042051423).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4042051391 and 4042051400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042051423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215041 + ... + 233080.

It is an arithmetic number, because the mean of its divisors is an integer number (197621802).

Almost surely, 24042051420 is an apocalyptic number.

It is an amenable number.

4042051420 is an abundant number, since it is smaller than the sum of its proper divisors (5443795076).

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

4042051420 is a wasteful number, since it uses less digits than its factorization.

4042051420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448182 (or 448180 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4042051420 is about 63577.1296929957. The cubic root of 4042051420 is about 1592.9443774158.

Adding to 4042051420 its reverse (241502404), we get a palindrome (4283553824).

The spelling of 4042051420 in words is "four billion, forty-two million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 448121 896242 1792484 2240605 4481210 4929331 8962420 9858662 18372961 19717324 24646655 36745922 49293310 73491844 91864805 98586620 183729610 202102571 367459220 404205142 808410284 1010512855 2021025710 4042051420