Search a number
-
+
4125340000 = 2554313659
BaseRepresentation
bin1111010111100011…
…1011000101100000
3101122111112222121101
43311320323011200
531422041340000
61521204204144
7204141545215
oct36570730540
911574488541
104125340000
111827713001
12971699654
135098980b2
142b1c5db0c
15192282e6a
hexf5e3b160

4125340000 has 120 divisors (see below), whose sum is σ = 10196829720. Its totient is φ = 1642368000.

The previous prime is 4125339997. The next prime is 4125340001. The reversal of 4125340000 is 435214.

It is a self number, because there is not a number n which added to its sum of digits gives 4125340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125340001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6259671 + ... + 6260329.

It is an arithmetic number, because the mean of its divisors is an integer number (84973581).

Almost surely, 24125340000 is an apocalyptic number.

4125340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098414860).

4125340000 is an abundant number, since it is smaller than the sum of its proper divisors (6071489720).

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

4125340000 is an equidigital number, since it uses as much as digits as its factorization.

4125340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4125340000 is about 64228.8097351959. The cubic root of 4125340000 is about 1603.8112268852.

Adding to 4125340000 its reverse (435214), we get a palindrome (4125775214).

The spelling of 4125340000 in words is "four billion, one hundred twenty-five million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 625 626 659 800 1000 1250 1252 1318 1565 2000 2500 2504 2636 3130 3295 4000 5000 5008 5272 6260 6590 7825 10000 10016 10544 12520 13180 15650 16475 20000 21088 25040 26360 31300 32950 39125 50080 52720 62600 65900 78250 82375 105440 125200 131800 156500 164750 195625 206267 250400 263600 313000 329500 391250 411875 412534 527200 626000 659000 782500 823750 825068 1031335 1252000 1318000 1565000 1647500 1650136 2062670 2636000 3130000 3295000 3300272 4125340 5156675 6260000 6590000 6600544 8250680 10313350 13180000 16501360 20626700 25783375 33002720 41253400 51566750 82506800 103133500 128916875 165013600 206267000 257833750 412534000 515667500 825068000 1031335000 2062670000 4125340000