Search a number
-
+
4425021414 = 2341114531709
BaseRepresentation
bin1000001111100000…
…00111011111100110
3102102101110101020000
410013300013133212
533030301141124
62011031322130
7214441030032
oct40760073746
912371411200
104425021414
11197089a0a0
12a35b20346
135569b3b88
142dd98d1c2
151ad72c6c9
hex107c077e6

4425021414 has 80 divisors (see below), whose sum is σ = 10830497040. Its totient is φ = 1339208640.

The previous prime is 4425021389. The next prime is 4425021431. The reversal of 4425021414 is 4141205244.

4425021414 is a `hidden beast` number, since 442 + 5 + 0 + 214 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2588392 + ... + 2590100.

It is an arithmetic number, because the mean of its divisors is an integer number (135381213).

Almost surely, 24425021414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4425021414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415248520).

4425021414 is an abundant number, since it is smaller than the sum of its proper divisors (6405475626).

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

4425021414 is a wasteful number, since it uses less digits than its factorization.

4425021414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4425021414 is about 66520.8344355361. The cubic root of 4425021414 is about 1641.7428198239.

Adding to 4425021414 its reverse (4141205244), we get a palindrome (8566226658).

The spelling of 4425021414 in words is "four billion, four hundred twenty-five million, twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1453 1709 1782 2906 3418 4359 5127 8718 10254 13077 15381 15983 18799 26154 30762 31966 37598 39231 46143 47949 56397 78462 92286 95898 112794 117693 138429 143847 169191 235386 276858 287694 338382 431541 507573 863082 1015146 1294623 1522719 2483177 2589246 3045438 4966354 7449531 14899062 22348593 27314947 44697186 54629894 67045779 81944841 134091558 163889682 201137337 245834523 402274674 491669046 737503569 1475007138 2212510707 4425021414