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4101114241 = 72611399871
BaseRepresentation
bin1111010001110010…
…0000100110000001
3101120210222012010001
43310130200212001
531344341123431
61514541040001
7203425616200
oct36434404601
911523865101
104101114241
111814a76914
12965556001
13504865423
142ac955237
15190099e61
hexf4720981

4101114241 has 24 divisors (see below), whose sum is σ = 4884270720. Its totient is φ = 3432391200.

The previous prime is 4101114211. The next prime is 4101114253. The reversal of 4101114241 is 1424111014.

It is not a de Polignac number, because 4101114241 - 219 = 4100589953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4101114211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410536 + ... + 420406.

It is an arithmetic number, because the mean of its divisors is an integer number (203511280).

Almost surely, 24101114241 is an apocalyptic number.

It is an amenable number.

4101114241 is a deficient number, since it is larger than the sum of its proper divisors (783156479).

4101114241 is a wasteful number, since it uses less digits than its factorization.

4101114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 4101114241 is about 64039.9425436969. The cubic root of 4101114241 is about 1600.6656398357.

Adding to 4101114241 its reverse (1424111014), we get a palindrome (5525225255).

The spelling of 4101114241 in words is "four billion, one hundred one million, one hundred fourteen thousand, two hundred forty-one".

Divisors: 1 7 49 61 139 427 973 2989 6811 8479 9871 59353 69097 415471 483679 602131 1372069 4214917 9604483 29504419 67231381 83696209 585873463 4101114241