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4140001001441 = 175967257239713
BaseRepresentation
bin111100001111101011010…
…010011111111111100001
3112122210001210021110101202
4330033223102133333201
51020312210224021231
612445520141210545
7605051040613064
oct74175322377741
915583053243352
104140001001441
1113568456aa148
1256a439b60a55
1324052894b4a6
1410453cb4c8db
1572a56d285cb
hex3c3eb49ffe1

4140001001441 has 32 divisors (see below), whose sum is σ = 4541985809280. Its totient is φ = 3758561427456.

The previous prime is 4140001001419. The next prime is 4140001001449. The reversal of 4140001001441 is 1441001000414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4140001001441 - 218 = 4140000739297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4140001001449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17150801 + ... + 17390513.

It is an arithmetic number, because the mean of its divisors is an integer number (141937056540).

Almost surely, 24140001001441 is an apocalyptic number.

It is an amenable number.

4140001001441 is a deficient number, since it is larger than the sum of its proper divisors (401984807839).

4140001001441 is a wasteful number, since it uses less digits than its factorization.

4140001001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240113.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4140001001441 its reverse (1441001000414), we get a palindrome (5581002001855).

The spelling of 4140001001441 in words is "four trillion, one hundred forty billion, one million, one thousand, four hundred forty-one".

Divisors: 1 17 59 67 257 1003 1139 3953 4369 15163 17219 67201 239713 257771 292723 1015921 4075121 14143067 16060771 17270657 61606241 240432139 273033107 947585489 1047306097 3634768219 4127618147 16108953313 61791059723 70169508499 243529470673 4140001001441