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4141043004 = 2237236731991
BaseRepresentation
bin1111011011010011…
…0100110100111100
3101200121002210002010
43312310310310330
531440101334004
61522524531220
7204422166450
oct36664646474
911617083063
104141043004
11183556899a
129769b0b10
1350cc05707
142b3d8a660
15193835a89
hexf6d34d3c

4141043004 has 96 divisors (see below), whose sum is σ = 11695251456. Its totient is φ = 1114787520.

The previous prime is 4141042999. The next prime is 4141043029. The reversal of 4141043004 is 4003401414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113449 + ... + 145439.

It is an arithmetic number, because the mean of its divisors is an integer number (121825536).

Almost surely, 24141043004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141043004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847625728).

4141043004 is an abundant number, since it is smaller than the sum of its proper divisors (7554208452).

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

4141043004 is a wasteful number, since it uses less digits than its factorization.

4141043004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32095 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4141043004 is about 64350.9363102045. The cubic root of 4141043004 is about 1605.8436061635.

Adding to 4141043004 its reverse (4003401414), we get a palindrome (8144444418).

The spelling of 4141043004 in words is "four billion, one hundred forty-one million, forty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 67 69 84 92 134 138 161 201 268 276 322 402 469 483 644 804 938 966 1407 1541 1876 1932 2814 3082 4623 5628 6164 9246 10787 18492 21574 31991 32361 43148 63982 64722 95973 127964 129444 191946 223937 383892 447874 671811 735793 895748 1343622 1471586 2143397 2207379 2687244 2943172 4286794 4414758 5150551 6430191 8573588 8829516 10301102 12860382 15003779 15451653 20602204 25720764 30007558 30903306 45011337 49298131 60015116 61806612 90022674 98596262 147894393 180045348 197192524 295788786 345086917 591577572 690173834 1035260751 1380347668 2070521502 4141043004