Search a number
-
+
4145051220 = 223543237363
BaseRepresentation
bin1111011100010000…
…0111011001010100
3101200212122102022120
43313010013121110
531442113114340
61523150455540
7204501232302
oct36704073124
911625572276
104145051220
111837856372
129782045b0
135109a9c3b
142b4711272
15193d784d0
hexf7107654

4145051220 has 72 divisors (see below), whose sum is σ = 11882648736. Its totient is φ = 1079612352.

The previous prime is 4145051203. The next prime is 4145051221. The reversal of 4145051220 is 221505414.

4145051220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145051221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92259 + ... + 129621.

It is an arithmetic number, because the mean of its divisors is an integer number (165036788).

Almost surely, 24145051220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941324368).

4145051220 is an abundant number, since it is smaller than the sum of its proper divisors (7737597516).

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

4145051220 is a wasteful number, since it uses less digits than its factorization.

4145051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37461 (or 37416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4145051220 is about 64382.0721940510. The cubic root of 4145051220 is about 1606.3615507523.

Adding to 4145051220 its reverse (221505414), we get a palindrome (4366556634).

The spelling of 4145051220 in words is "four billion, one hundred forty-five million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1849 2580 3698 5547 7396 9245 11094 18490 22188 27735 36980 37363 55470 74726 110940 112089 149452 186815 224178 373630 448356 560445 747260 1120890 1606609 2241780 3213218 4819827 6426436 8033045 9639654 16066090 19279308 24099135 32132180 48198270 69084187 96396540 138168374 207252561 276336748 345420935 414505122 690841870 829010244 1036262805 1381683740 2072525610 4145051220