Search a number
-
+
1440146432 = 2101782729
BaseRepresentation
bin101010111010110…
…1110010000000000
310201100220000111202
41111311232100000
510422134141212
6354523200332
750455020434
oct12565562000
93640800452
101440146432
11679a1a36a
123423760a8
1319c496b6a
14d93a29c4
15866750c2
hex55d6e400

1440146432 has 44 divisors (see below), whose sum is σ = 3048269580. Its totient is φ = 677707776.

The previous prime is 1440146429. The next prime is 1440146437. The reversal of 1440146432 is 2346410441.

It can be written as a sum of positive squares in 2 ways, for example, as 861070336 + 579076096 = 29344^2 + 24064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1440146395 and 1440146404.

It is not an unprimeable number, because it can be changed into a prime (1440146437) 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 3 ways as a sum of consecutive naturals, for example, 23957 + ... + 58772.

Almost surely, 21440146432 is an apocalyptic number.

It is an amenable number.

1440146432 is an abundant number, since it is smaller than the sum of its proper divisors (1608123148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1440146432 is an equidigital number, since it uses as much as digits as its factorization.

1440146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82766 (or 82748 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 1440146432 is about 37949.2612839829. The cubic root of 1440146432 is about 1129.2815105231.

Adding to 1440146432 its reverse (2346410441), we get a palindrome (3786556873).

The spelling of 1440146432 in words is "one billion, four hundred forty million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 82729 165458 330916 661832 1323664 1406393 2647328 2812786 5294656 5625572 10589312 11251144 21178624 22502288 42357248 45004576 84714496 90009152 180018304 360036608 720073216 1440146432