Search a number
-
+
1337145489 = 341722392
BaseRepresentation
bin100111110110011…
…0011100010010001
310110012002000210000
41033230303202101
510214302123424
6340403400213
745064356231
oct11754634221
93405060700
101337145489
11626869219
12313983069
13184042464
14c982dcc1
157c5cb3c9
hex4fb33891

1337145489 has 45 divisors (see below), whose sum is σ = 2130789067. Its totient is φ = 835482816.

The previous prime is 1337145487. The next prime is 1337145517. The reversal of 1337145489 is 9845417331.

The square root of 1337145489 is 36567.

It is a perfect power (a square), and thus also a powerful number.

1337145489 is a `hidden beast` number, since 1 + 33 + 71 + 4 + 548 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1041030225 + 296115264 = 32265^2 + 17208^2 .

It is not a de Polignac number, because 1337145489 - 21 = 1337145487 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1337145487) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5594632 + ... + 5594870.

Almost surely, 21337145489 is an apocalyptic number.

1337145489 is the 36567-th square number.

1337145489 is the 18284-th centered octagonal number.

It is an amenable number.

1337145489 is a deficient number, since it is larger than the sum of its proper divisors (793643578).

1337145489 is an frugal number, since it uses more digits than its factorization.

1337145489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 259 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 1337145489 is about 1101.6903732442.

The spelling of 1337145489 in words is "one billion, three hundred thirty-seven million, one hundred forty-five thousand, four hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 153 239 289 459 717 867 1377 2151 2601 4063 6453 7803 12189 19359 23409 36567 57121 69071 109701 171363 207213 329103 514089 621639 971057 1542267 1864917 2913171 4626801 5594751 8739513 16507969 26218539 49523907 78655617 148571721 445715163 1337145489