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4141144002141 = 33367417917449
BaseRepresentation
bin111100010000101111011…
…010101100111001011101
3112122220000110000220121000
4330100233122230321131
51020322030331032031
612450225411500513
7605121260142456
oct74205732547135
915586013026530
104141144002141
111357281914523
1256a6b88b7739
1324067b6a6773
1410460a88212d
1572ac23553e6
hex3c42f6ace5d

4141144002141 has 16 divisors (see below), whose sum is σ = 6151744864000. Its totient is φ = 2753240147424.

The previous prime is 4141144002133. The next prime is 4141144002143. The reversal of 4141144002141 is 1412004411414.

4141144002141 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 440 + 0 + 214 + 1 = 666.

It is not a de Polignac number, because 4141144002141 - 23 = 4141144002133 is a prime.

It is a super-2 number, since 2×41411440021412 (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141144002143) 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, 208948816 + ... + 208968633.

It is an arithmetic number, because the mean of its divisors is an integer number (384484054000).

Almost surely, 24141144002141 is an apocalyptic number.

It is an amenable number.

4141144002141 is a deficient number, since it is larger than the sum of its proper divisors (2010600861859).

4141144002141 is a wasteful number, since it uses less digits than its factorization.

4141144002141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417917825 (or 417917819 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4141144002141 its reverse (1412004411414), we get a palindrome (5553148413555).

The spelling of 4141144002141 in words is "four trillion, one hundred forty-one billion, one hundred forty-four million, two thousand, one hundred forty-one".

Divisors: 1 3 9 27 367 1101 3303 9909 417917449 1253752347 3761257041 11283771123 153375703783 460127111349 1380381334047 4141144002141