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1451440000 = 275418143
BaseRepresentation
bin101011010000011…
…0011011110000000
310202011010210101001
41112200303132000
510433032040000
6400005221344
750653015333
oct12640633600
93664123331
101451440000
1168533339a
12346101854
131a191c44a
14daaa261a
158765646a
hex56833780

1451440000 has 80 divisors (see below), whose sum is σ = 3613468320. Its totient is φ = 580544000.

The previous prime is 1451439989. The next prime is 1451440009. The reversal of 1451440000 is 441541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1451440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451440009) 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 9 ways as a sum of consecutive naturals, for example, 70929 + ... + 89071.

It is an arithmetic number, because the mean of its divisors is an integer number (45168354).

Almost surely, 21451440000 is an apocalyptic number.

1451440000 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 1451440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806734160).

1451440000 is an abundant number, since it is smaller than the sum of its proper divisors (2162028320).

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

1451440000 is an frugal number, since it uses more digits than its factorization.

1451440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18177 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1451440000 is about 38097.7689635496. The cubic root of 1451440000 is about 1132.2257537740.

Adding to 1451440000 its reverse (441541), we get a palindrome (1451881541).

The spelling of 1451440000 in words is "one billion, four hundred fifty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 18143 20000 36286 40000 72572 80000 90715 145144 181430 290288 362860 453575 580576 725720 907150 1161152 1451440 1814300 2267875 2322304 2902880 3628600 4535750 5805760 7257200 9071500 11339375 11611520 14514400 18143000 22678750 29028800 36286000 45357500 58057600 72572000 90715000 145144000 181430000 290288000 362860000 725720000 1451440000