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1300440141 = 3271113144349
BaseRepresentation
bin100110110000011…
…0010010001001101
310100122000012111200
41031200302101031
510130403041031
6333012540113
744140362450
oct11540622115
93318005450
101300440141
11608078a20
12303621639
13179560410
14c49d7497
157927a8e6
hex4d83244d

1300440141 has 48 divisors (see below), whose sum is σ = 2522083200. Its totient is φ = 623583360.

The previous prime is 1300440139. The next prime is 1300440149. The reversal of 1300440141 is 1410440031.

It is not a de Polignac number, because 1300440141 - 21 = 1300440139 is a prime.

It is a super-2 number, since 2×13004401412 = 3382289120648199762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300440149) 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 47 ways as a sum of consecutive naturals, for example, 63166 + ... + 81183.

It is an arithmetic number, because the mean of its divisors is an integer number (52543400).

Almost surely, 21300440141 is an apocalyptic number.

1300440141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1300440141 is a deficient number, since it is larger than the sum of its proper divisors (1221643059).

1300440141 is a wasteful number, since it uses less digits than its factorization.

1300440141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144386 (or 144383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1300440141 is about 36061.6158955752. The cubic root of 1300440141 is about 1091.5160401259.

Adding to 1300440141 its reverse (1410440031), we get a palindrome (2710880172).

The spelling of 1300440141 in words is "one billion, three hundred million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 144349 433047 1010443 1299141 1587839 1876537 3031329 4763517 5629611 9093987 11114873 13135759 14290551 16888833 20641907 33344619 39407277 61925721 100033857 118221831 144493349 185777163 433480047 1300440141