Search a number
-
+
13335088440 = 2335195848723
BaseRepresentation
bin11000110101101010…
…10100110100111000
31021102100022200101110
430122311110310320
5204302240312230
610043121120320
7651312244602
oct143265246470
937370280343
1013335088440
115723345353
122701a890a0
13134693689b
14907074172
15530a924b0
hex31ad54d38

13335088440 has 64 divisors (see below), whose sum is σ = 42110812800. Its totient is φ = 3368863872.

The previous prime is 13335088369. The next prime is 13335088451. The reversal of 13335088440 is 4488053331.

13335088440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922082 + ... + 2926641.

It is an arithmetic number, because the mean of its divisors is an integer number (657981450).

Almost surely, 213335088440 is an apocalyptic number.

13335088440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13335088440 is an abundant number, since it is smaller than the sum of its proper divisors (28775724360).

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

13335088440 is a wasteful number, since it uses less digits than its factorization.

13335088440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848756 (or 5848752 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13335088440 in words is "thirteen billion, three hundred thirty-five million, eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5848723 11697446 17546169 23394892 29243615 35092338 46789784 58487230 70184676 87730845 111125737 116974460 140369352 175461690 222251474 233948920 333377211 350923380 444502948 555628685 666754422 701846760 889005896 1111257370 1333508844 1666886055 2222514740 2667017688 3333772110 4445029480 6667544220 13335088440