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40144042401 = 3347161923819
BaseRepresentation
bin100101011000110001…
…010111100110100001
310211121201002122112020
4211120301113212201
51124203333324101
630235242052053
72620543505331
oct453061274641
9124551078466
1040144042401
11160302a1251
1279441aa029
133a29b76858
141d2b7850c1
15109e48b136
hex958c579a1

40144042401 has 16 divisors (see below), whose sum is σ = 53715052800. Its totient is φ = 26667966608.

The previous prime is 40144042361. The next prime is 40144042423. The reversal of 40144042401 is 10424044104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40144042401 - 225 = 40110487969 is a prime.

It is a super-2 number, since 2×401440424012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40144042451) 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 15 ways as a sum of consecutive naturals, for example, 1673470 + ... + 1697288.

It is an arithmetic number, because the mean of its divisors is an integer number (3357190800).

Almost surely, 240144042401 is an apocalyptic number.

It is an amenable number.

40144042401 is a deficient number, since it is larger than the sum of its proper divisors (13571010399).

40144042401 is a wasteful number, since it uses less digits than its factorization.

40144042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25788.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40144042401 its reverse (10424044104), we get a palindrome (50568086505).

The spelling of 40144042401 in words is "forty billion, one hundred forty-four million, forty-two thousand, four hundred one".

Divisors: 1 3 347 1041 1619 4857 23819 71457 561793 1685379 8265193 24795579 38562961 115688883 13381347467 40144042401