Search a number
-
+
40008440480 = 255250052753
BaseRepresentation
bin100101010000101100…
…000101101010100000
310211021020221100122212
4211100230011222200
51123414130043410
630213555421252
72614306063421
oct452054055240
9124236840585
1040008440480
1115a707a3548
1279068b4828
133a07a49328
141d17767648
151092602b05
hex950b05aa0

40008440480 has 24 divisors (see below), whose sum is σ = 94519941012. Its totient is φ = 16003376128.

The previous prime is 40008440477. The next prime is 40008440489. The reversal of 40008440480 is 8404480004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32606247184 + 7402193296 = 180572^2 + 86036^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40008440489) 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, 125026217 + ... + 125026536.

Almost surely, 240008440480 is an apocalyptic number.

40008440480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40008440480 is an abundant number, since it is smaller than the sum of its proper divisors (54511500532).

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

40008440480 is a wasteful number, since it uses less digits than its factorization.

40008440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250052768 (or 250052760 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 40008440480 in words is "forty billion, eight million, four hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 250052753 500105506 1000211012 1250263765 2000422024 2500527530 4000844048 5001055060 8001688096 10002110120 20004220240 40008440480