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4240144132101 = 363126052429
BaseRepresentation
bin111101101100111100010…
…010001110100000000101
3120000100112221020121000000
4331230330102032200011
51023432303344211401
613003521220111513
7615224503311123
oct75547422164005
916010487217000
104240144132101
111395264905449
12585927835599
13249ac7cc3217
1410931cbca913
15754688d7186
hex3db3c48e805

4240144132101 has 42 divisors (see below), whose sum is σ = 6568998848070. Its totient is φ = 2735576407440.

The previous prime is 4240144132093. The next prime is 4240144132121. The reversal of 4240144132101 is 1012314410424.

4240144132101 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 1 + 441 + 3 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3780500811201 + 459643320900 = 1944351^2 + 677970^2 .

It is not a de Polignac number, because 4240144132101 - 23 = 4240144132093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240144132121) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2325646 + ... + 3726783.

Almost surely, 24240144132101 is an apocalyptic number.

It is an amenable number.

4240144132101 is a deficient number, since it is larger than the sum of its proper divisors (2328854715969).

4240144132101 is an frugal number, since it uses more digits than its factorization.

4240144132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052509 (or 6052463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4240144132101 its reverse (1012314410424), we get a palindrome (5252458542525).

The spelling of 4240144132101 in words is "four trillion, two hundred forty billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 27 31 81 93 243 279 729 837 961 2511 2883 7533 8649 22599 25947 77841 233523 700569 6052429 18157287 54471861 163415583 187625299 490246749 562875897 1470740247 1688627691 4412220741 5065883073 5816384269 15197649219 17449152807 45592947657 52347458421 136778842971 157042375263 471127125789 1413381377367 4240144132101