Search a number
-
+
4101421000 = 235333112391
BaseRepresentation
bin1111010001110110…
…1011011111001000
3101120211112202220111
43310131223133020
531344430433000
61514551404104
7203431334425
oct36435533710
911524482814
104101421000
111815166336
12965683634
13504941c41
142ac9d4d4c
1519010acba
hexf476b7c8

4101421000 has 64 divisors (see below), whose sum is σ = 9627096960. Its totient is φ = 1635480000.

The previous prime is 4101420943. The next prime is 4101421001. The reversal of 4101421000 is 1241014.

It is not an unprimeable number, because it can be changed into a prime (4101421001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324805 + ... + 337195.

It is an arithmetic number, because the mean of its divisors is an integer number (150423390).

Almost surely, 24101421000 is an apocalyptic number.

4101421000 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 4101421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813548480).

4101421000 is an abundant number, since it is smaller than the sum of its proper divisors (5525675960).

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

4101421000 is a wasteful number, since it uses less digits than its factorization.

4101421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4101421000 is about 64042.3375588368. The cubic root of 4101421000 is about 1600.7055482053.

Adding to 4101421000 its reverse (1241014), we get a palindrome (4102662014).

The spelling of 4101421000 in words is "four billion, one hundred one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 331 500 662 1000 1324 1655 2648 3310 6620 8275 12391 13240 16550 24782 33100 41375 49564 61955 66200 82750 99128 123910 165500 247820 309775 331000 495640 619550 1239100 1548875 2478200 3097750 4101421 6195500 8202842 12391000 16405684 20507105 32811368 41014210 82028420 102535525 164056840 205071050 410142100 512677625 820284200 1025355250 2050710500 4101421000