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400142044001 = 71931116383449
BaseRepresentation
bin1011101001010100101…
…00110000101101100001
31102020211120211221201202
411310222110300231201
523023442330402001
6503453412410545
740623615153320
oct5645224605541
91366746757652
10400142044001
11144776830137
1265672916a55
132b96bbb2b4b
141551cdba0b7
15a61e10596b
hex5d2a530b61

400142044001 has 32 divisors (see below), whose sum is σ = 497335296000. Its totient is φ = 314171706240.

The previous prime is 400142043949. The next prime is 400142044031. The reversal of 400142044001 is 100440241004.

It is a happy number.

It is not a de Polignac number, because 400142044001 - 26 = 400142043937 is a prime.

It is a super-2 number, since 2×4001420440012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400142044031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4753325 + ... + 4836773.

It is an arithmetic number, because the mean of its divisors is an integer number (15541728000).

Almost surely, 2400142044001 is an apocalyptic number.

It is an amenable number.

400142044001 is a deficient number, since it is larger than the sum of its proper divisors (97193251999).

400142044001 is a wasteful number, since it uses less digits than its factorization.

400142044001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84669.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 400142044001 its reverse (100440241004), we get a palindrome (500582285005).

The spelling of 400142044001 in words is "four hundred billion, one hundred forty-two million, forty-four thousand, one".

Divisors: 1 7 19 31 133 217 589 1163 4123 8141 22097 36053 83449 154679 252371 584143 685007 1585531 2586919 4795049 11098717 18108433 49151461 97051187 344060227 679358309 1843972553 3008586797 12907807871 21060107579 57163149143 400142044001