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4201441024 = 28111491989
BaseRepresentation
bin1111101001101100…
…1110011100000000
3101211210202022120211
43322123032130000
532101032103044
61532523243504
7206054442124
oct37233163400
911753668524
104201441024
111866670910
12993079594
1351c5918a1
142bbdcd584
15198cb6634
hexfa6ce700

4201441024 has 36 divisors (see below), whose sum is σ = 9148882680. Its totient is φ = 1909744640.

The previous prime is 4201441019. The next prime is 4201441103.

4201441024 is nontrivially palindromic in base 10.

4201441024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4201440986 and 4201441004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 743179 + ... + 748810.

It is an arithmetic number, because the mean of its divisors is an integer number (254135630).

Almost surely, 24201441024 is an apocalyptic number.

4201441024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4201441024 is an abundant number, since it is smaller than the sum of its proper divisors (4947441656).

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

4201441024 is a wasteful number, since it uses less digits than its factorization.

4201441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492016 (or 1492002 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4201441024 is about 64818.5237721440. The cubic root of 4201441024 is about 1613.6131478936.

It can be divided in two parts, 42014 and 41024, that added together give a palindrome (83038).

The spelling of 4201441024 in words is "four billion, two hundred one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 1491989 2983978 5967956 11935912 16411879 23871824 32823758 47743648 65647516 95487296 131295032 190974592 262590064 381949184 525180128 1050360256 2100720512 4201441024