Search a number
-
+
4130422000 = 245317412963
BaseRepresentation
bin1111011000110001…
…0011110011110000
3101122212010011210121
43312030103303300
531424342001000
61521505140024
7204233002435
oct36614236360
911585104717
104130422000
11182a574201
1297332a614
1350a9572b3
142b27c3b8c
15192938b1a
hexf6313cf0

4130422000 has 160 divisors (see below), whose sum is σ = 10836431424. Its totient is φ = 1516544000.

The previous prime is 4130421961. The next prime is 4130422013. The reversal of 4130422000 is 2240314.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 1392519 + ... + 1395481.

Almost surely, 24130422000 is an apocalyptic number.

4130422000 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 4130422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418215712).

4130422000 is an abundant number, since it is smaller than the sum of its proper divisors (6706009424).

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

4130422000 is a wasteful number, since it uses less digits than its factorization.

4130422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4130422000 is about 64268.3592446548. The cubic root of 4130422000 is about 1604.4695341643.

Adding to 4130422000 its reverse (2240314), we get a palindrome (4132662314).

The spelling of 4130422000 in words is "four billion, one hundred thirty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 41 50 68 80 82 85 100 125 136 164 170 200 205 250 272 328 340 400 410 425 500 656 680 697 820 850 1000 1025 1360 1394 1640 1700 2000 2050 2125 2788 2963 3280 3400 3485 4100 4250 5125 5576 5926 6800 6970 8200 8500 10250 11152 11852 13940 14815 16400 17000 17425 20500 23704 27880 29630 34000 34850 41000 47408 50371 55760 59260 69700 74075 82000 87125 100742 118520 121483 139400 148150 174250 201484 237040 242966 251855 278800 296300 348500 370375 402968 485932 503710 592600 607415 697000 740750 805936 971864 1007420 1185200 1214830 1259275 1394000 1481500 1943728 2014840 2065211 2429660 2518550 2963000 3037075 4029680 4130422 4859320 5037100 5926000 6074150 6296375 8260844 9718640 10074200 10326055 12148300 12592750 15185375 16521688 20148400 20652110 24296600 25185500 30370750 33043376 41304220 48593200 50371000 51630275 60741500 82608440 100742000 103260550 121483000 165216880 206521100 242966000 258151375 413042200 516302750 826084400 1032605500 2065211000 4130422000