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4144322541 = 319793372731
BaseRepresentation
bin1111011100000101…
…0101011111101101
3101200211021101202110
43313001111133231
531441421310131
61523123114233
7204462106002
oct36701253755
911624241673
104144322541
1118373a8957
12977b12979
135107b3378
142b45a18a9
15193c82646
hexf70557ed

4144322541 has 32 divisors (see below), whose sum is σ = 5909862400. Its totient is φ = 2575722240.

The previous prime is 4144322527. The next prime is 4144322561. The reversal of 4144322541 is 1452234414.

It is not a de Polignac number, because 4144322541 - 29 = 4144322029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144322499 and 4144322508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144322521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516146 + ... + 1518876.

It is an arithmetic number, because the mean of its divisors is an integer number (184683200).

Almost surely, 24144322541 is an apocalyptic number.

It is an amenable number.

4144322541 is a deficient number, since it is larger than the sum of its proper divisors (1765539859).

4144322541 is a wasteful number, since it uses less digits than its factorization.

4144322541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169.

The product of its digits is 15360, while the sum is 30.

The square root of 4144322541 is about 64376.4129243002. The cubic root of 4144322541 is about 1606.2674151624.

Adding to 4144322541 its reverse (1452234414), we get a palindrome (5596556955).

The spelling of 4144322541 in words is "four billion, one hundred forty-four million, three hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 3 19 57 79 237 337 1011 1501 2731 4503 6403 8193 19209 26623 51889 79869 155667 215749 505837 647247 920347 1517511 2761041 4099231 12297693 17486593 52459779 72707413 218122239 1381440847 4144322541