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4045214404 = 2274112592
BaseRepresentation
bin1111000100011101…
…0001001011000100
3101102220210011221201
43301013101023010
531241033330104
61505222552244
7202146520000
oct36107211304
911386704851
104045214404
111796466500
1294a898684
134c60c27ba
142a5363700
1518a2070a4
hexf11d12c4

4045214404 has 135 divisors (see below), whose sum is σ = 9233975471. Its totient is φ = 1549344720.

The previous prime is 4045214387. The next prime is 4045214417. The reversal of 4045214404 is 4044125404.

The square root of 4045214404 is 63602.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68562927 + ... + 68562985.

Almost surely, 24045214404 is an apocalyptic number.

4045214404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4045214404 is the 63602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045214404

4045214404 is an abundant number, since it is smaller than the sum of its proper divisors (5188761067).

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

4045214404 is an equidigital number, since it uses as much as digits as its factorization.

4045214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The cubic root of 4045214404 is about 1593.3597724216.

Adding to 4045214404 its reverse (4044125404), we get a palindrome (8089339808).

The spelling of 4045214404 in words is "four billion, forty-five million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 121 154 196 236 242 308 343 413 484 539 649 686 826 847 1078 1298 1372 1652 1694 2156 2401 2596 2891 3388 3481 3773 4543 4802 5782 5929 6962 7139 7546 9086 9604 11564 11858 13924 14278 15092 18172 20237 23716 24367 26411 28556 31801 38291 40474 41503 48734 49973 52822 63602 76582 80948 83006 97468 99946 105644 127204 141659 153164 166012 170569 199892 222607 268037 283318 290521 341138 349811 421201 445214 536074 566636 581042 682276 699622 842402 890428 1072148 1162084 1193983 1399244 1558249 1684804 1876259 2387966 2448677 2948407 3116498 3752518 4775932 4897354 5896814 6232996 7505036 8357881 9794708 11793628 13133813 16715762 17140739 20638849 26267626 33431524 34281478 41277698 52535252 68562956 82555396 91936691 144471943 183873382 288943886 367746764 577887772 1011303601 2022607202 4045214404