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1438284141 = 33741313593
BaseRepresentation
bin101010110111010…
…0111100101101101
310201020101101221000
41111232213211231
510421200043031
6354415230513
750433133140
oct12556474555
93636341830
101438284141
11678968188
12341818439
1319bc94308
14d903a057
15864083e6
hex55ba796d

1438284141 has 64 divisors (see below), whose sum is σ = 2506775040. Its totient is φ = 797921280.

The previous prime is 1438284119. The next prime is 1438284151. The reversal of 1438284141 is 1414828341.

It is a happy number.

1438284141 is a `hidden beast` number, since 1 + 438 + 2 + 84 + 141 = 666.

It is not a de Polignac number, because 1438284141 - 26 = 1438284077 is a prime.

It is a super-2 number, since 2×14382841412 = 4137322540504215762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1438284096 and 1438284105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438284151) 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 63 ways as a sum of consecutive naturals, for example, 2425141 + ... + 2425733.

It is an arithmetic number, because the mean of its divisors is an integer number (39168360).

Almost surely, 21438284141 is an apocalyptic number.

It is an amenable number.

1438284141 is a deficient number, since it is larger than the sum of its proper divisors (1068490899).

1438284141 is a wasteful number, since it uses less digits than its factorization.

1438284141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1438284141 is about 37924.7167556990. The cubic root of 1438284141 is about 1128.7945327404.

The spelling of 1438284141 in words is "one billion, four hundred thirty-eight million, two hundred eighty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 313 369 593 861 939 1107 1779 2191 2583 2817 4151 5337 6573 7749 8451 12453 12833 16011 19719 24313 37359 38499 59157 72939 89831 112077 115497 170191 185609 218817 269493 346491 510573 556827 656451 808479 1299263 1531719 1670481 2425437 3897789 4595157 5011443 7609969 11693367 22829907 35080101 53269783 68489721 159809349 205469163 479428047 1438284141