Search a number
-
+
1400430000 = 2435446681
BaseRepresentation
bin101001101111000…
…1101110110110000
310121121011012210210
41103132031312300
510332002230000
6350544024120
746463313204
oct12336156660
93547135723
101400430000
11659562872
12331002040
1319419c408
14d3dc4b04
1582e2c350
hex5378ddb0

1400430000 has 100 divisors (see below), whose sum is σ = 4520871608. Its totient is φ = 373440000.

The previous prime is 1400429993. The next prime is 1400430007. The reversal of 1400430000 is 340041.

It is an interprime number because it is at equal distance from previous prime (1400429993) and next prime (1400430007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×14004300002 = 3922408369800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1400430007) 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 19 ways as a sum of consecutive naturals, for example, 6660 + ... + 53340.

Almost surely, 21400430000 is an apocalyptic number.

1400430000 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 1400430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260435804).

1400430000 is an abundant number, since it is smaller than the sum of its proper divisors (3120441608).

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

1400430000 is an equidigital number, since it uses as much as digits as its factorization.

1400430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46712 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1400430000 is about 37422.3195432886. The cubic root of 1400430000 is about 1118.8034627968.

Adding to 1400430000 its reverse (340041), we get a palindrome (1400770041).

The spelling of 1400430000 in words is "one billion, four hundred million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 46681 93362 140043 186724 233405 280086 373448 466810 560172 700215 746896 933620 1120344 1167025 1400430 1867240 2240688 2334050 2800860 3501075 3734480 4668100 5601720 5835125 7002150 9336200 11203440 11670250 14004300 17505375 18672400 23340500 28008600 29175625 35010750 46681000 56017200 58351250 70021500 87526875 93362000 116702500 140043000 175053750 233405000 280086000 350107500 466810000 700215000 1400430000