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4041414132 = 22372915110987
BaseRepresentation
bin1111000011100011…
…0001010111110100
3101102122122002221220
43300320301113310
531234100223012
61505005310340
7202102311330
oct36070612764
911378562856
104041414132
111794300288
129495653b0
134c5391b12
142a4a547c0
15189c0608c
hexf0e315f4

4041414132 has 96 divisors (see below), whose sum is σ = 11223582720. Its totient is φ = 1107388800.

The previous prime is 4041414119. The next prime is 4041414137. The reversal of 4041414132 is 2314141404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041414137) 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 31 ways as a sum of consecutive naturals, for example, 362343 + ... + 373329.

It is an arithmetic number, because the mean of its divisors is an integer number (116912320).

Almost surely, 24041414132 is an apocalyptic number.

4041414132 is a gapful number since it is divisible by the number (42) 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 4041414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611791360).

4041414132 is an abundant number, since it is smaller than the sum of its proper divisors (7182168588).

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

4041414132 is a wasteful number, since it uses less digits than its factorization.

4041414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11181 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4041414132 is about 63572.1175673738. The cubic root of 4041414132 is about 1592.8606560915.

Adding to 4041414132 its reverse (2314141404), we get a palindrome (6355555536).

The spelling of 4041414132 in words is "four billion, forty-one million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 151 174 203 302 348 406 453 604 609 812 906 1057 1218 1812 2114 2436 3171 4228 4379 6342 8758 10987 12684 13137 17516 21974 26274 30653 32961 43948 52548 61306 65922 76909 91959 122612 131844 153818 183918 230727 307636 318623 367836 461454 637246 922908 955869 1274492 1659037 1911738 2230361 3318074 3823476 4460722 4977111 6636148 6691083 8921444 9954222 11613259 13382166 19908444 23226518 26764332 34839777 46453036 48112073 69679554 96224146 139359108 144336219 192448292 288672438 336784511 577344876 673569022 1010353533 1347138044 2020707066 4041414132