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40432221000 = 2332534492469
BaseRepresentation
bin100101101001111100…
…101011101101001000
310212100210100122020200
4211221330223231020
51130301122033000
630324014452200
72630643131223
oct455174535510
9125323318220
1040432221000
1116168a31086
127a04804060
133a74795a32
141d57b5c5ba
1510b9912500
hex969f2bb48

40432221000 has 96 divisors (see below), whose sum is σ = 136660937400. Its totient is φ = 10781923200.

The previous prime is 40432220999. The next prime is 40432221007. The reversal of 40432221000 is 12223404.

It can be written as a sum of positive squares in 4 ways, for example, as 20393553636 + 20038667364 = 142806^2 + 141558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40432221007) 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 23 ways as a sum of consecutive naturals, for example, 2237235 + ... + 2255234.

Almost surely, 240432221000 is an apocalyptic number.

40432221000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40432221000 is an abundant number, since it is smaller than the sum of its proper divisors (96228716400).

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

40432221000 is a wasteful number, since it uses less digits than its factorization.

40432221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492496 (or 4492479 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40432221000 its reverse (12223404), we get a palindrome (40444444404).

The spelling of 40432221000 in words is "forty billion, four hundred thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 4492469 8984938 13477407 17969876 22462345 26954814 35939752 40432221 44924690 53909628 67387035 80864442 89849380 107819256 112311725 134774070 161728884 179698760 202161105 224623450 269548140 323457768 336935175 404322210 449246900 539096280 561558625 673870350 808644420 898493800 1010805525 1123117250 1347740700 1617288840 1684675875 2021611050 2246234500 2695481400 3369351750 4043222100 4492469000 5054027625 6738703500 8086444200 10108055250 13477407000 20216110500 40432221000