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4001430000 = 24354831607
BaseRepresentation
bin1110111010000000…
…1111100111110000
3101022212101201001010
43232200033213300
531143331230000
61501020310520
7201105410451
oct35640174760
911285351033
104001430000
111773780647
129380a2440
134ba002579
1429d607128
15186458d50
hexee80f9f0

4001430000 has 200 divisors, whose sum is σ = 13080912768. Its totient is φ = 1053536000.

The previous prime is 4001429989. The next prime is 4001430011. The reversal of 4001430000 is 341004.

It is an interprime number because it is at equal distance from previous prime (4001429989) and next prime (4001430011).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×40014300002 = 32022884089800000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2489197 + ... + 2490803.

Almost surely, 24001430000 is an apocalyptic number.

4001430000 is a gapful number since it is divisible by the number (40) 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 4001430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540456384).

4001430000 is an abundant number, since it is smaller than the sum of its proper divisors (9079482768).

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

4001430000 is a wasteful number, since it uses less digits than its factorization.

4001430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1700 counting only the distinct ones).

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

The square root of 4001430000 is about 63256.8573357861. The cubic root of 4001430000 is about 1587.5901947225.

Adding to 4001430000 its reverse (341004), we get a palindrome (4001771004).

The spelling of 4001430000 in words is "four billion, one million, four hundred thirty thousand".