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1540104141 = 37312775507
BaseRepresentation
bin101101111001100…
…0001111111001101
310222022222101201010
41123303001333031
511123231313031
6412453435433
753110445352
oct13363017715
93868871633
101540104141
11720392044
1236b93bb79
131b70c4334
14108782629
159031c246
hex5bcc1fcd

1540104141 has 16 divisors (see below), whose sum is σ = 2083610304. Its totient is φ = 1011694464.

The previous prime is 1540104121. The next prime is 1540104151. The reversal of 1540104141 is 1414010451.

It is not a de Polignac number, because 1540104141 - 215 = 1540071373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540104121) 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 15 ways as a sum of consecutive naturals, for example, 276910 + ... + 282416.

It is an arithmetic number, because the mean of its divisors is an integer number (130225644).

Almost surely, 21540104141 is an apocalyptic number.

It is an amenable number.

1540104141 is a deficient number, since it is larger than the sum of its proper divisors (543506163).

1540104141 is a wasteful number, since it uses less digits than its factorization.

1540104141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1540104141 is about 39244.1605974698. The cubic root of 1540104141 is about 1154.8263804544.

Adding to 1540104141 its reverse (1414010451), we get a palindrome (2954114592).

The spelling of 1540104141 in words is "one billion, five hundred forty million, one hundred four thousand, one hundred forty-one".

Divisors: 1 3 73 219 1277 3831 5507 16521 93221 279663 402011 1206033 7032439 21097317 513368047 1540104141