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1440340000 = 2554116547
BaseRepresentation
bin101010111011001…
…1101100000100000
310201101020212000221
41111312131200200
510422211340000
6354531252424
750456454661
oct12566354040
93641225027
101440340000
1167a041840
1234244a114
1319c533cb8
14d9413368
15866b261a
hex55d9d820

1440340000 has 120 divisors (see below), whose sum is σ = 3866174928. Its totient is φ = 523680000.

The previous prime is 1440339983. The next prime is 1440340007. The reversal of 1440340000 is 430441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1440340007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216727 + ... + 223273.

Almost surely, 21440340000 is an apocalyptic number.

1440340000 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 1440340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933087464).

1440340000 is an abundant number, since it is smaller than the sum of its proper divisors (2425834928).

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

1440340000 is an equidigital number, since it uses as much as digits as its factorization.

1440340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1440340000 is about 37951.8115509655. The cubic root of 1440340000 is about 1129.3321032883.

Adding to 1440340000 its reverse (430441), we get a palindrome (1440770441).

The spelling of 1440340000 in words is "one billion, four hundred forty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6547 6875 8800 10000 11000 13094 13750 20000 22000 26188 27500 32735 44000 52376 55000 65470 72017 104752 110000 130940 144034 163675 209504 220000 261880 288068 327350 360085 523760 576136 654700 720170 818375 1047520 1152272 1309400 1440340 1636750 1800425 2304544 2618800 2880680 3273500 3600850 4091875 5237600 5761360 6547000 7201700 8183750 9002125 11522720 13094000 14403400 16367500 18004250 26188000 28806800 32735000 36008500 45010625 57613600 65470000 72017000 90021250 130940000 144034000 180042500 288068000 360085000 720170000 1440340000