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4101441201 = 3211136189587
BaseRepresentation
bin1111010001110111…
…0000011010110001
3101120211120210121200
43310131300122301
531344432104301
61514552041413
7203431450344
oct36435603261
911524523550
104101441201
11181517a530
12965693269
1350494b1b0
142ac9dc45b
15190111c86
hexf47706b1

4101441201 has 96 divisors (see below), whose sum is σ = 7165791360. Its totient is φ = 2227737600.

The previous prime is 4101441193. The next prime is 4101441217. The reversal of 4101441201 is 1021441014.

4101441201 is a `hidden beast` number, since 410 + 14 + 41 + 201 = 666.

It is not a de Polignac number, because 4101441201 - 23 = 4101441193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4101441241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6986830 + ... + 6987416.

It is an arithmetic number, because the mean of its divisors is an integer number (74643660).

Almost surely, 24101441201 is an apocalyptic number.

It is an amenable number.

4101441201 is a deficient number, since it is larger than the sum of its proper divisors (3064350159).

4101441201 is a wasteful number, since it uses less digits than its factorization.

4101441201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4101441201 is about 64042.4952746221. The cubic root of 4101441201 is about 1600.7081762213.

Adding to 4101441201 its reverse (1021441014), we get a palindrome (5122882215).

It can be divided in two parts, 41014 and 41201, that added together give a triangular number (82215 = T405).

The spelling of 4101441201 in words is "four billion, one hundred one million, four hundred forty-one thousand, two hundred one".

Divisors: 1 3 9 11 13 33 39 61 89 99 117 143 183 267 429 549 587 671 793 801 979 1157 1287 1761 2013 2379 2937 3471 5283 5429 6039 6457 7137 7631 8723 8811 10413 12727 16287 19371 22893 26169 35807 38181 48861 52243 58113 59719 68679 70577 78507 83941 107421 114543 156729 179157 211731 251823 322263 393877 465491 470187 537471 574673 635193 679159 755469 776347 1181631 1396473 1724019 2037477 2329041 3186823 3544893 4189419 5120401 5172057 6112431 6987123 7470749 9560469 15361203 22412247 28681407 35055053 41428699 46083609 67236741 105165159 124286097 315495477 372858291 455715689 1367147067 4101441201