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42144104040441 = 313231286497883
BaseRepresentation
bin10011001010100011100000…
…10110011100011111111001
312112012221022001221121010120
421211101300112130133321
521010442111113243231
6225344422323003453
711606545120505424
oct1145216026343771
9175187261847116
1042144104040441
111247923a044357
124887987209589
131a69230a3c100
14a59add6709bb
154d13e8d92d96
hex26547059c7f9

42144104040441 has 36 divisors (see below), whose sum is σ = 62873235930384. Its totient is φ = 25098225441120.

The previous prime is 42144104040439. The next prime is 42144104040491. The reversal of 42144104040441 is 14404040144124.

It is not a de Polignac number, because 42144104040441 - 21 = 42144104040439 is a prime.

It is a super-2 number, since 2×421441040404412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42144104040421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42761715 + ... + 43736168.

It is an arithmetic number, because the mean of its divisors is an integer number (1746478775844).

Almost surely, 242144104040441 is an apocalyptic number.

It is an amenable number.

42144104040441 is a deficient number, since it is larger than the sum of its proper divisors (20729131889943).

42144104040441 is a wasteful number, since it uses less digits than its factorization.

42144104040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86497974 (or 86497930 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 42144104040441 its reverse (14404040144124), we get a palindrome (56548144184565).

The spelling of 42144104040441 in words is "forty-two trillion, one hundred forty-four billion, one hundred four million, forty thousand, four hundred forty-one".

Divisors: 1 3 13 31 39 93 169 403 507 961 1209 2883 5239 12493 15717 37479 162409 487227 86497883 259493649 1124472479 2681434373 3373417437 8044303119 14618142227 34858646849 43854426681 83124465563 104575940547 249373396689 453162409037 1080618052319 1359487227111 3241854156957 14048034680147 42144104040441