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2142033541 = 17233540781
BaseRepresentation
bin111111110101100…
…1101011010000101
312112021121120121121
41333223031122011
513341330033131
6552315113541
7104036661514
oct17753153205
95467546547
102142033541
119aa13855a
124b94428b1
13281a1718b
141646ac67b
15c80bb911
hex7facd685

2142033541 has 8 divisors (see below), whose sum is σ = 2277773784. Its totient is φ = 2007375360.

The previous prime is 2142033499. The next prime is 2142033559. The reversal of 2142033541 is 1453302412.

It can be written as a sum of positive squares in 4 ways, for example, as 916333441 + 1225700100 = 30271^2 + 35010^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142033541 - 29 = 2142033029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142033241) 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 7 ways as a sum of consecutive naturals, for example, 266430 + ... + 274351.

It is an arithmetic number, because the mean of its divisors is an integer number (284721723).

Almost surely, 22142033541 is an apocalyptic number.

It is an amenable number.

2142033541 is a deficient number, since it is larger than the sum of its proper divisors (135740243).

2142033541 is a wasteful number, since it uses less digits than its factorization.

2142033541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541031.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2142033541 is about 46282.1082168909. The cubic root of 2142033541 is about 1289.0667971787.

Adding to 2142033541 its reverse (1453302412), we get a palindrome (3595335953).

The spelling of 2142033541 in words is "two billion, one hundred forty-two million, thirty-three thousand, five hundred forty-one".

Divisors: 1 17 233 3961 540781 9193277 126001973 2142033541