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1201240444014 = 2321353380325469
BaseRepresentation
bin10001011110101111100…
…000101000110001101110
311020211121111211012021100
4101132233200220301232
5124140120023202024
62315501531343530
7152533600205622
oct21365740506156
94224544735240
101201240444014
11423496a07036
12174984bb1ba6
138937959cb50
14421d7185182
15213a8a647c9
hex117af828c6e

1201240444014 has 96 divisors (see below), whose sum is σ = 2856642253920. Its totient is φ = 362529033984.

The previous prime is 1201240444009. The next prime is 1201240444069. The reversal of 1201240444014 is 4104440421021.

It is a happy number.

1201240444014 is a `hidden beast` number, since 1 + 201 + 2 + 4 + 0 + 4 + 440 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47152072 + ... + 47177540.

It is an arithmetic number, because the mean of its divisors is an integer number (29756690145).

Almost surely, 21201240444014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201240444014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428321126960).

1201240444014 is an abundant number, since it is smaller than the sum of its proper divisors (1655401809906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201240444014 is a wasteful number, since it uses less digits than its factorization.

1201240444014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29346 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1201240444014 its reverse (4104440421021), we get a palindrome (5305680865035).

The spelling of 1201240444014 in words is "one trillion, two hundred one billion, two hundred forty million, four hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 3803 4134 6201 7606 11409 12402 22818 25469 34227 49439 50938 68454 76407 98878 148317 152814 201559 229221 296634 331097 403118 444951 458442 604677 662194 889902 993291 1209354 1349857 1814031 1986582 2620267 2699714 2979873 3628062 4049571 5240534 5959746 7860801 8099142 12148713 15721602 17548141 23582403 24297426 35096282 47164806 52644423 96858607 105288846 157933269 193717214 290575821 315866538 581151642 871727463 1259161891 1743454926 2518323782 3777485673 5133506171 7554971346 10267012342 11332457019 15400518513 22664914038 30801037026 46201555539 66735580223 92403111078 133471160446 200206740669 400413481338 600620222007 1201240444014