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404342132000 = 2553101085533
BaseRepresentation
bin1011110001001001010…
…10110100110100100000
31102122200022001112022112
411320210222310310200
523111043041211000
6505430251054452
741132655261662
oct5704452646440
91378608045275
10404342132000
11146531657444
1266445441428
132c18b0bc911
14157dab36532
15a7b7c01235
hex5e24ab4d20

404342132000 has 48 divisors (see below), whose sum is σ = 993468628152. Its totient is φ = 161736851200.

The previous prime is 404342131997. The next prime is 404342132003. The reversal of 404342132000 is 231243404.

It is an interprime number because it is at equal distance from previous prime (404342131997) and next prime (404342132003).

It can be written as a sum of positive squares in 4 ways, for example, as 218915437456 + 185426694544 = 467884^2 + 430612^2 .

It is not an unprimeable number, because it can be changed into a prime (404342132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50538767 + ... + 50546766.

Almost surely, 2404342132000 is an apocalyptic number.

404342132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404342132000 is an abundant number, since it is smaller than the sum of its proper divisors (589126496152).

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

404342132000 is a wasteful number, since it uses less digits than its factorization.

404342132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101085558 (or 101085540 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 404342132000 its reverse (231243404), we get a palindrome (404573375404).

The spelling of 404342132000 in words is "four hundred four billion, three hundred forty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 101085533 202171066 404342132 505427665 808684264 1010855330 1617368528 2021710660 2527138325 3234737056 4043421320 5054276650 8086842640 10108553300 12635691625 16173685280 20217106600 25271383250 40434213200 50542766500 80868426400 101085533000 202171066000 404342132000