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4100121441 = 321337947129
BaseRepresentation
bin1111010001100010…
…1110001101100001
3101120202002202020200
43310120232031201
531344112341231
61514503455413
7203414312553
oct36430561541
911522082220
104100121441
111814458a19
12965157569
135045a8580
142ac7774d3
1518ee50be6
hexf462e361

4100121441 has 24 divisors (see below), whose sum is σ = 6550351080. Its totient is φ = 2454955776.

The previous prime is 4100121433. The next prime is 4100121463. The reversal of 4100121441 is 1441210014.

4100121441 is a `hidden beast` number, since 4 + 100 + 121 + 441 = 666.

4100121441 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2098006416 + 2002115025 = 45804^2 + 44745^2 .

It is not a de Polignac number, because 4100121441 - 23 = 4100121433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4100021441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469236 + ... + 477893.

It is an arithmetic number, because the mean of its divisors is an integer number (272931295).

Almost surely, 24100121441 is an apocalyptic number.

It is an amenable number.

4100121441 is a deficient number, since it is larger than the sum of its proper divisors (2450229639).

4100121441 is a wasteful number, since it uses less digits than its factorization.

4100121441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947185 (or 947182 counting only the distinct ones).

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

The square root of 4100121441 is about 64032.1906621974. The cubic root of 4100121441 is about 1600.5364660710.

Adding to 4100121441 its reverse (1441210014), we get a palindrome (5541331455).

The spelling of 4100121441 in words is "four billion, one hundred million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 947129 2841387 8524161 12312677 35043773 36938031 105131319 110814093 315393957 455569049 1366707147 4100121441