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424230101400 = 233527971041311
BaseRepresentation
bin1100010110001100001…
…01011010000110011000
31111120000022210001110210
412023012011122012120
523422310401221100
6522515535211120
742435550236030
oct6130605320630
91446008701423
10424230101400
11153a07918196
126a275976aa0
133100a500b51
14167661b88c0
15b07dbdcc50
hex62c615a198

424230101400 has 192 divisors, whose sum is σ = 1518482810880. Its totient is φ = 95967129600.

The previous prime is 424230101369. The next prime is 424230101401. The reversal of 424230101400 is 4101032424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424230101401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113256 + ... + 928055.

It is an arithmetic number, because the mean of its divisors is an integer number (7908764640).

Almost surely, 2424230101400 is an apocalyptic number.

424230101400 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 424230101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759241405440).

424230101400 is an abundant number, since it is smaller than the sum of its proper divisors (1094252709480).

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

424230101400 is a wasteful number, since it uses less digits than its factorization.

424230101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041434 (or 1041425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 424230101400 its reverse (4101032424), we get a palindrome (428331133824).

The spelling of 424230101400 in words is "four hundred twenty-four billion, two hundred thirty million, one hundred one thousand, four hundred".