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1144540000 = 255489643
BaseRepresentation
bin100010000111000…
…0100101101100000
32221202122122201101
41010032010231200
54321000240000
6305323244144
740235300212
oct10416045540
92852578641
101144540000
1153807692a
1227b379654
13153176b06
14ac0145b2
156a732e6a
hex44384b60

1144540000 has 120 divisors (see below), whose sum is σ = 2851805880. Its totient is φ = 451968000.

The previous prime is 1144539989. The next prime is 1144540021. The reversal of 1144540000 is 454411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144540000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1779679 + ... + 1780321.

It is an arithmetic number, because the mean of its divisors is an integer number (23765049).

Almost surely, 21144540000 is an apocalyptic number.

1144540000 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 1144540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425902940).

1144540000 is an abundant number, since it is smaller than the sum of its proper divisors (1707265880).

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

1144540000 is an frugal number, since it uses more digits than its factorization.

1144540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 739 counting only the distinct ones).

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

The square root of 1144540000 is about 33831.0508261272. The cubic root of 1144540000 is about 1046.0288395350.

Adding to 1144540000 its reverse (454411), we get a palindrome (1144994411).

The spelling of 1144540000 in words is "one billion, one hundred forty-four million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 643 712 800 890 1000 1250 1286 1424 1780 2000 2225 2500 2572 2848 3215 3560 4000 4450 5000 5144 6430 7120 8900 10000 10288 11125 12860 14240 16075 17800 20000 20576 22250 25720 32150 35600 44500 51440 55625 57227 64300 71200 80375 89000 102880 111250 114454 128600 160750 178000 222500 228908 257200 286135 321500 356000 401875 445000 457816 514400 572270 643000 803750 890000 915632 1144540 1286000 1430675 1607500 1780000 1831264 2289080 2572000 2861350 3215000 4578160 5722700 6430000 7153375 9156320 11445400 12860000 14306750 22890800 28613500 35766875 45781600 57227000 71533750 114454000 143067500 228908000 286135000 572270000 1144540000