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1144434105 = 325295411621
BaseRepresentation
bin100010000110110…
…1010110110111001
32221202110021110100
41010031222312321
54320433342410
6305321110013
740234346403
oct10415526671
92852407410
101144434105
11538004311
1227b328309
1315313a859
14abdc7b73
156a7118c0
hex4436adb9

1144434105 has 48 divisors (see below), whose sum is σ = 2057150160. Its totient is φ = 587865600.

The previous prime is 1144434103. The next prime is 1144434113. The reversal of 1144434105 is 5014344411.

1144434105 is a `hidden beast` number, since 114 + 443 + 4 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1115136 + 1143318969 = 1056^2 + 33813^2 .

It is not a de Polignac number, because 1144434105 - 21 = 1144434103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144434103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705195 + ... + 706815.

It is an arithmetic number, because the mean of its divisors is an integer number (42857295).

Almost surely, 21144434105 is an apocalyptic number.

1144434105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1144434105 is a deficient number, since it is larger than the sum of its proper divisors (912716055).

1144434105 is a wasteful number, since it uses less digits than its factorization.

1144434105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1144434105 is about 33829.4857336023. The cubic root of 1144434105 is about 1045.9965783528.

Adding to 1144434105 its reverse (5014344411), we get a palindrome (6158778516).

The spelling of 1144434105 in words is "one billion, one hundred forty-four million, four hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 541 1305 1621 1623 2705 4863 4869 8105 8115 14589 15689 24315 24345 47009 47067 72945 78445 141027 141201 235045 235335 423081 705135 706005 876961 2115405 2630883 4384805 7892649 13154415 25431869 39463245 76295607 127159345 228886821 381478035 1144434105