Search a number
-
+
4142122350 = 2352311137883
BaseRepresentation
bin1111011011100011…
…1100010101101110
3101200200010121122220
43312320330111232
531440340403400
61523004020210
7204434313312
oct36670742556
911620117586
104142122350
111836135913
12977231666
135101c2a92
142b418bb42
1519399a7a0
hexf6e3c56e

4142122350 has 96 divisors (see below), whose sum is σ = 10699029504. Its totient is φ = 1059340800.

The previous prime is 4142122349. The next prime is 4142122351. The reversal of 4142122350 is 532212414.

It is an interprime number because it is at equal distance from previous prime (4142122349) and next prime (4142122351).

It is a self number, because there is not a number n which added to its sum of digits gives 4142122350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142122351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521509 + ... + 529391.

It is an arithmetic number, because the mean of its divisors is an integer number (111448224).

Almost surely, 24142122350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142122350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349514752).

4142122350 is an abundant number, since it is smaller than the sum of its proper divisors (6556907154).

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

4142122350 is a wasteful number, since it uses less digits than its factorization.

4142122350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4142122350 is about 64359.3221685872. The cubic root of 4142122350 is about 1605.9831129097.

Adding to 4142122350 its reverse (532212414), we get a palindrome (4674334764).

The spelling of 4142122350 in words is "four billion, one hundred forty-two million, one hundred twenty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 113 150 155 186 226 310 339 465 565 678 775 930 1130 1550 1695 2325 2825 3390 3503 4650 5650 7006 7883 8475 10509 15766 16950 17515 21018 23649 35030 39415 47298 52545 78830 87575 105090 118245 175150 197075 236490 244373 262725 394150 488746 525450 591225 733119 890779 1182450 1221865 1466238 1781558 2443730 2672337 3665595 4453895 5344674 6109325 7331190 8907790 12218650 13361685 18327975 22269475 26723370 27614149 36655950 44538950 55228298 66808425 82842447 133616850 138070745 165684894 276141490 414212235 690353725 828424470 1380707450 2071061175 4142122350