Search a number
-
+
127440503541 = 32137731409101
BaseRepresentation
bin111011010110000001…
…0111100001011110101
3110011221112210100112200
41312230002330023311
54041444232103131
6134313444135113
712131044256361
oct1665402741365
9404845710480
10127440503541
114a0579295aa
1220847697499
13c02c8436a0
14624d5ac2a1
1534ad2d42e6
hex1dac0bc2f5

127440503541 has 24 divisors (see below), whose sum is σ = 198497380536. Its totient is φ = 78323414400.

The previous prime is 127440503503. The next prime is 127440503573. The reversal of 127440503541 is 145305044721.

127440503541 is a `hidden beast` number, since 1 + 2 + 74 + 40 + 5 + 0 + 3 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1075184100 + 126365319441 = 32790^2 + 355479^2 .

It is not a de Polignac number, because 127440503541 - 27 = 127440503413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127440503496 and 127440503505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127440503041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614110 + ... + 794991.

It is an arithmetic number, because the mean of its divisors is an integer number (8270724189).

Almost surely, 2127440503541 is an apocalyptic number.

It is an amenable number.

127440503541 is a deficient number, since it is larger than the sum of its proper divisors (71056876995).

127440503541 is a wasteful number, since it uses less digits than its factorization.

127440503541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409893 (or 1409890 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 127440503541 in words is "one hundred twenty-seven billion, four hundred forty million, five hundred three thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 117 773 2319 6957 10049 30147 90441 1409101 4227303 12681909 18318313 54954939 164864817 1089235073 3267705219 9803115657 14160055949 42480167847 127440503541