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2141143124401 = 17307963436449
BaseRepresentation
bin11111001010000110000…
…100110100100110110001
321120200122221112110121001
4133022012010310212301
5240040030114440101
64315343320002001
7310456344160411
oct37120604644661
97520587473531
102141143124401
11756065524236
122a6b74600301
13126ba7bc5a28
14758bbc44641
153aa69252901
hex1f2861349b1

2141143124401 has 16 divisors (see below), whose sum is σ = 2268538272000. Its totient is φ = 2013909101568.

The previous prime is 2141143124381. The next prime is 2141143124413. The reversal of 2141143124401 is 1044213411412.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2141143124401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141143124401.

It is not an unprimeable number, because it can be changed into a prime (2141143124431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332008425 + ... + 332014873.

It is an arithmetic number, because the mean of its divisors is an integer number (141783642000).

Almost surely, 22141143124401 is an apocalyptic number.

It is an amenable number.

2141143124401 is a deficient number, since it is larger than the sum of its proper divisors (127395147599).

2141143124401 is a wasteful number, since it uses less digits than its factorization.

2141143124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 2141143124401 its reverse (1044213411412), we get a palindrome (3185356535813).

The spelling of 2141143124401 in words is "two trillion, one hundred forty-one billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 17 3079 6343 6449 52343 107831 109633 19530097 19856471 40906007 332011649 337560007 695402119 125949595553 2141143124401