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4211141000 = 2353111920149
BaseRepresentation
bin1111101100000000…
…1110100110001000
3101212111000010110012
43323000032212020
532111023003000
61533511211052
7206233052003
oct37300164610
911774003405
104211141000
111871096620
12996376a88
135215a9a11
142bd3d653a
15199a80735
hexfb00e988

4211141000 has 128 divisors (see below), whose sum is σ = 11316240000. Its totient is φ = 1450656000.

The previous prime is 4211140993. The next prime is 4211141003. The reversal of 4211141000 is 1411124.

It is not an unprimeable number, because it can be changed into a prime (4211141003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198926 + ... + 219074.

It is an arithmetic number, because the mean of its divisors is an integer number (88408125).

Almost surely, 24211141000 is an apocalyptic number.

4211141000 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 4211141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658120000).

4211141000 is an abundant number, since it is smaller than the sum of its proper divisors (7105099000).

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

4211141000 is a wasteful number, since it uses less digits than its factorization.

4211141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20200 (or 20186 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4211141000 is about 64893.3047393951. The cubic root of 4211141000 is about 1614.8539903208.

Adding to 4211141000 its reverse (1411124), we get a palindrome (4212552124).

The spelling of 4211141000 in words is "four billion, two hundred eleven million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 19000 20149 20900 26125 40298 41800 52250 80596 100745 104500 161192 201490 209000 221639 382831 402980 443278 503725 765662 805960 886556 1007450 1108195 1531324 1773112 1914155 2014900 2216390 2518625 3062648 3828310 4029800 4211141 4432780 5037250 5540975 7656620 8422282 8865560 9570775 10074500 11081950 15313240 16844564 19141550 20149000 21055705 22163900 27704875 33689128 38283100 42111410 44327800 47853875 55409750 76566200 84222820 95707750 105278525 110819500 168445640 191415500 210557050 221639000 382831000 421114100 526392625 842228200 1052785250 2105570500 4211141000