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24022142003400 = 233521013234116883
BaseRepresentation
bin1010111011001000101110…
…01111011010100011001000
310011001111100101020112002220
411131210113033122203020
511122034321323102100
6123031341504054040
75026354033656552
oct535442717324310
9104044311215086
1024022142003400
1177218079a5572
12283b79a904320
131053380490618
145d096c1444d2
152b9d0eb6eaa0
hex15d9173da8c8

24022142003400 has 192 divisors, whose sum is σ = 74578412301120. Its totient is φ = 6396468249600.

The previous prime is 24022142003389. The next prime is 24022142003411. The reversal of 24022142003400 is 430024122042.

It is an interprime number because it is at equal distance from previous prime (24022142003389) and next prime (24022142003411).

It is a super-2 number, since 2×240221420034002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422851359 + ... + 1422868241.

It is an arithmetic number, because the mean of its divisors is an integer number (388429230735).

Almost surely, 224022142003400 is an apocalyptic number.

24022142003400 is a gapful number since it is divisible by the number (20) 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 24022142003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37289206150560).

24022142003400 is an abundant number, since it is smaller than the sum of its proper divisors (50556270297720).

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

24022142003400 is a wasteful number, since it uses less digits than its factorization.

24022142003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20256 (or 20247 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24022142003400 its reverse (430024122042), we get a palindrome (24452166125442).

The spelling of 24022142003400 in words is "twenty-four trillion, twenty-two billion, one hundred forty-two million, three thousand, four hundred".