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4141031000 = 235319211471
BaseRepresentation
bin1111011011010011…
…0001111001011000
3101200121002011121112
43312310301321120
531440100443000
61522524355452
7204422116451
oct36664617130
911617064545
104141031000
11183555a977
129769a5b88
1350cc00102
142b3d86128
15193832235
hexf6d31e58

4141031000 has 96 divisors (see below), whose sum is σ = 10227746880. Its totient is φ = 1569096000.

The previous prime is 4141030997. The next prime is 4141031023. The reversal of 4141031000 is 1301414.

It is a happy number.

It is a super-2 number, since 2×41410310002 = 34296275485922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355265 + ... + 366735.

It is an arithmetic number, because the mean of its divisors is an integer number (106539030).

Almost surely, 24141031000 is an apocalyptic number.

4141031000 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 4141031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113873440).

4141031000 is an abundant number, since it is smaller than the sum of its proper divisors (6086715880).

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

4141031000 is a wasteful number, since it uses less digits than its factorization.

4141031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4141031000 is about 64350.8430403208. The cubic root of 4141031000 is about 1605.8420544960.

Adding to 4141031000 its reverse (1301414), we get a palindrome (4142332414).

The spelling of 4141031000 in words is "four billion, one hundred forty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 11471 14440 18050 19000 22942 36100 45125 45884 57355 72200 90250 91768 114710 180500 217949 229420 286775 361000 435898 458840 573550 871796 1089745 1147100 1433875 1743592 2179490 2294200 2867750 4141031 4358980 5448725 5735500 8282062 8717960 10897450 11471000 16564124 20705155 21794900 27243625 33128248 41410310 43589800 54487250 82820620 103525775 108974500 165641240 207051550 217949000 414103100 517628875 828206200 1035257750 2070515500 4141031000