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4041414144 = 2932877043
BaseRepresentation
bin1111000011100011…
…0001011000000000
3101102122122002222100
43300320301120000
531234100223034
61505005310400
7202102311345
oct36070613000
911378562870
104041414144
111794300299
12949565400
134c5391b21
142a4a547cc
15189c06099
hexf0e31600

4041414144 has 60 divisors (see below), whose sum is σ = 11663808156. Its totient is φ = 1347136512.

The previous prime is 4041414137. The next prime is 4041414173. The reversal of 4041414144 is 4414141404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433914 + ... + 443129.

Almost surely, 24041414144 is an apocalyptic number.

It is an amenable number.

4041414144 is an abundant number, since it is smaller than the sum of its proper divisors (7622394012).

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

4041414144 is an equidigital number, since it uses as much as digits as its factorization.

4041414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877067 (or 877048 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4041414144 is about 63572.1176617548. The cubic root of 4041414144 is about 1592.8606576681.

Adding to 4041414144 its reverse (4414141404), we get a palindrome (8455555548).

The spelling of 4041414144 in words is "four billion, forty-one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 877043 1754086 2631129 3508172 5262258 7016344 7893387 10524516 14032688 15786774 21049032 28065376 31573548 42098064 56130752 63147096 84196128 112261504 126294192 168392256 224523008 252588384 336784512 449046016 505176768 673569024 1010353536 1347138048 2020707072 4041414144