Search a number
-
+
4141543040 = 2759766713
BaseRepresentation
bin1111011011011010…
…1110111010000000
3101200122001011222222
43312312232322000
531440213334130
61522543350212
7204426351335
oct36666567200
911618034888
104141543040
11183587a648
12976bb2368
1351004c1ab
142b407a98c
151938d3ce5
hexf6daee80

4141543040 has 64 divisors (see below), whose sum is σ = 10003097160. Its totient is φ = 1639514112.

The previous prime is 4141543037. The next prime is 4141543051. The reversal of 4141543040 is 403451414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3781758016 + 359785024 = 61496^2 + 18968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28724 + ... + 95436.

Almost surely, 24141543040 is an apocalyptic number.

4141543040 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 4141543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001548580).

4141543040 is an abundant number, since it is smaller than the sum of its proper divisors (5861554120).

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

4141543040 is an equidigital number, since it uses as much as digits as its factorization.

4141543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66829 (or 66817 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4141543040 is about 64354.8214199993. The cubic root of 4141543040 is about 1605.9082394209.

Adding to 4141543040 its reverse (403451414), we get a palindrome (4544994454).

The spelling of 4141543040 in words is "four billion, one hundred forty-one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 66713 133426 266852 333565 533704 667130 1067408 1334260 2134816 2668520 4269632 5337040 6471161 8539264 10674080 12942322 21348160 25884644 32355805 42696320 51769288 64711610 103538576 129423220 207077152 258846440 414154304 517692880 828308608 1035385760 2070771520 4141543040