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2442022014201 = 371120327520073
BaseRepresentation
bin100011100010010011110…
…110101100110011111001
322122110021201020201111020
4203202103312230303321
5310002230113423301
65105503250453053
7341300403430020
oct43422366546371
98573251221436
102442022014201
11861723844440
12335344294189
13149387b39473
14862a19a98b7
15437c8b6d436
hex23893daccf9

2442022014201 has 32 divisors (see below), whose sum is σ = 4059672680448. Its totient is φ = 1268518016640.

The previous prime is 2442022014197. The next prime is 2442022014203. The reversal of 2442022014201 is 1024102202442.

It is a happy number.

It is not a de Polignac number, because 2442022014201 - 22 = 2442022014197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2442022014203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4435501 + ... + 4955573.

It is an arithmetic number, because the mean of its divisors is an integer number (126864771264).

Almost surely, 22442022014201 is an apocalyptic number.

2442022014201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2442022014201 is a deficient number, since it is larger than the sum of its proper divisors (1617650666247).

2442022014201 is a wasteful number, since it uses less digits than its factorization.

2442022014201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540421.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2442022014201 its reverse (1024102202442), we get a palindrome (3466124216643).

The spelling of 2442022014201 in words is "two trillion, four hundred forty-two billion, twenty-two million, fourteen thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 231 20327 60981 142289 223597 426867 520073 670791 1560219 1565179 3640511 4695537 5720803 10921533 17162409 40045621 120136863 10571523871 31714571613 74000667097 116286762581 222002001291 348860287743 814007338067 2442022014201