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1644114054031 = 97127332340163
BaseRepresentation
bin10111111011001100110…
…101011000101110001111
312211011202010122121122021
4113323030311120232033
5203414121144212111
63255143502031011
7226532451606331
oct27731465305617
95734663577567
101644114054031
115842a0581189
12226782578467
13bc0684216a7
145980b41b451
152cb7936ed71
hex17eccd58b8f

1644114054031 has 16 divisors (see below), whose sum is σ = 1674688425984. Its totient is φ = 1613826111744.

The previous prime is 1644114053963. The next prime is 1644114054101. The reversal of 1644114054031 is 1304504114461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1644114054031 is a prime.

It is a super-3 number, since 3×16441140540313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1644114054931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40915956 + ... + 40956118.

It is an arithmetic number, because the mean of its divisors is an integer number (104668026624).

Almost surely, 21644114054031 is an apocalyptic number.

1644114054031 is a deficient number, since it is larger than the sum of its proper divisors (30574371953).

1644114054031 is a wasteful number, since it uses less digits than its factorization.

1644114054031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43710.

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 1644114054031 its reverse (1304504114461), we get a palindrome (2948618168492).

The spelling of 1644114054031 in words is "one trillion, six hundred forty-four billion, one hundred fourteen million, fifty-four thousand, thirty-one".

Divisors: 1 97 127 3323 12319 40163 322331 422021 3895811 5100701 40936037 133461649 494767997 12945779953 16949629423 1644114054031