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4042221325 = 521723715121
BaseRepresentation
bin1111000011101111…
…0110011100001101
3101102201011010012221
43300323312130031
531234302040300
61505034455341
7202112212552
oct36073663415
911381133187
104042221325
11179480178a
12949894551
134c55b534c
142a4bc4a29
15189d1531a
hexf0ef670d

4042221325 has 36 divisors (see below), whose sum is σ = 5468810812. Its totient is φ = 2961100800.

The previous prime is 4042221277. The next prime is 4042221341. The reversal of 4042221325 is 5231222404.

It can be written as a sum of positive squares in 18 ways, for example, as 1136903524 + 2905317801 = 33718^2 + 53901^2 .

It is not a de Polignac number, because 4042221325 - 221 = 4040124173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4042221325.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 259765 + ... + 274885.

Almost surely, 24042221325 is an apocalyptic number.

It is an amenable number.

4042221325 is a deficient number, since it is larger than the sum of its proper divisors (1426589487).

4042221325 is a wasteful number, since it uses less digits than its factorization.

4042221325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4042221325 is about 63578.4658905828. The cubic root of 4042221325 is about 1592.9666965630.

Adding to 4042221325 its reverse (5231222404), we get a palindrome (9273443729).

The spelling of 4042221325 in words is "four billion, forty-two million, two hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 17 25 37 85 185 289 425 629 925 1445 3145 7225 10693 15121 15725 53465 75605 257057 267325 378025 559477 1285285 2797385 4369969 6426425 9511109 13986925 21849845 47555545 109249225 161688853 237777725 808444265 4042221325