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1404450000 = 2432553121
BaseRepresentation
bin101001110110110…
…0011010011010000
310121212201110012200
41103231203103100
510334014400000
6351210123200
746542425262
oct12355432320
93555643180
101404450000
11660859088
12332420500
13194c79105
14d474db32
1583473500
hex53b634d0

1404450000 has 180 divisors, whose sum is σ = 4914396396. Its totient is φ = 374400000.

The previous prime is 1404449929. The next prime is 1404450013. The reversal of 1404450000 is 544041.

It can be written as a sum of positive squares in 6 ways, for example, as 1400855184 + 3594816 = 37428^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 448440 + ... + 451560.

Almost surely, 21404450000 is an apocalyptic number.

1404450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457198198).

1404450000 is an abundant number, since it is smaller than the sum of its proper divisors (3509946396).

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

1404450000 is an equidigital number, since it uses as much as digits as its factorization.

1404450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1404450000 is about 37475.9923150809. The cubic root of 1404450000 is about 1119.8729660341.

Adding to 1404450000 its reverse (544041), we get a palindrome (1404994041).

The spelling of 1404450000 in words is "one billion, four hundred four million, four hundred fifty thousand".