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4034430225 = 3252717532843
BaseRepresentation
bin1111000001111000…
…1000010100010001
3101102011111021211200
43300132020110101
531230303231400
61504155501413
7201656043150
oct36036102421
911364437750
104034430225
111790370161
12947157869
134c3ab8027
142a3b57597
151892c6b00
hexf0788511

4034430225 has 144 divisors (see below), whose sum is σ = 8912322432. Its totient is φ = 1702471680.

The previous prime is 4034430221. The next prime is 4034430247. The reversal of 4034430225 is 5220344304.

4034430225 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 430 + 225 = 666.

It is not a de Polignac number, because 4034430225 - 22 = 4034430221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4034430221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1417654 + ... + 1420496.

It is an arithmetic number, because the mean of its divisors is an integer number (61891128).

Almost surely, 24034430225 is an apocalyptic number.

4034430225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4034430225 is an abundant number, since it is smaller than the sum of its proper divisors (4877892207).

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

4034430225 is a wasteful number, since it uses less digits than its factorization.

4034430225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4034430225 is about 63517.1648060585. The cubic root of 4034430225 is about 1591.9425942081.

Adding to 4034430225 its reverse (5220344304), we get a palindrome (9254774529).

The spelling of 4034430225 in words is "four billion, thirty-four million, four hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 53 63 75 85 105 119 153 159 175 225 255 265 315 357 371 425 477 525 595 765 795 901 1071 1113 1275 1325 1575 1785 1855 2385 2703 2843 2975 3339 3825 3975 4505 5355 5565 6307 8109 8529 8925 9275 11925 13515 14215 16695 18921 19901 22525 25587 26775 27825 31535 40545 42645 48331 56763 59703 67575 71075 83475 94605 99505 127935 144993 150679 157675 179109 202725 213225 241655 283815 298515 338317 434979 452037 473025 497525 639675 724965 753395 895545 1014951 1054753 1208275 1356111 1419075 1492575 1691585 2174895 2260185 2561543 3044853 3164259 3624825 3766975 4477725 5074755 5273765 6780555 7684629 8457925 9492777 10874475 11300925 12807715 15224265 15821295 17930801 23053887 25373775 26368825 33902775 38423145 47463885 53792403 64038575 76121325 79106475 89654005 115269435 161377209 192115725 237319425 268962015 448270025 576347175 806886045 1344810075 4034430225