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4141100397 = 37317236729
BaseRepresentation
bin1111011011010100…
…0010110101101101
3101200121012200210210
43312311002311231
531440110203042
61522530053033
7204422526000
oct36665026555
911617180723
104141100397
1118355a8025
12976a1a179
1350cc25885
142b3da3537
15193847a9c
hexf6d42d6d

4141100397 has 32 divisors (see below), whose sum is σ = 6817824000. Its totient is φ = 2227137024.

The previous prime is 4141100321. The next prime is 4141100401. The reversal of 4141100397 is 7930011414.

It is not a de Polignac number, because 4141100397 - 212 = 4141096301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141100797) by changing a digit.

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, 100872 + ... + 135857.

It is an arithmetic number, because the mean of its divisors is an integer number (213057000).

Almost surely, 24141100397 is an apocalyptic number.

It is an amenable number.

4141100397 is a deficient number, since it is larger than the sum of its proper divisors (2676723603).

4141100397 is a wasteful number, since it uses less digits than its factorization.

4141100397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236770 (or 236756 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 4141100397 is about 64351.3822462268. The cubic root of 4141100397 is about 1605.8510248868.

The spelling of 4141100397 in words is "four billion, one hundred forty-one million, one hundred thousand, three hundred ninety-seven".

Divisors: 1 3 7 17 21 49 51 119 147 343 357 833 1029 2499 5831 17493 236729 710187 1657103 4024393 4971309 11599721 12073179 28170751 34799163 81198047 84512253 197195257 243594141 591585771 1380366799 4141100397