Search a number
-
+
13981320819 = 3429311011901
BaseRepresentation
bin11010000010101101…
…00000011001110011
31100002101022200120000
431001112200121303
5212113204231234
610231204121043
71003320160164
oct150126403163
940071280500
1013981320819
115a251002a4
122862396183
13141a79b9cb
14968c1376b
1556c693899
hex3415a0673

13981320819 has 80 divisors (see below), whose sum is σ = 22535504640. Its totient is φ = 8618400000.

The previous prime is 13981320809. The next prime is 13981320833. The reversal of 13981320819 is 91802318931.

It is not a de Polignac number, because 13981320819 - 24 = 13981320803 is a prime.

It is a super-2 number, since 2×139813208192 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13981320809) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7353769 + ... + 7355669.

It is an arithmetic number, because the mean of its divisors is an integer number (281693808).

Almost surely, 213981320819 is an apocalyptic number.

13981320819 is a deficient number, since it is larger than the sum of its proper divisors (8554183821).

13981320819 is a wasteful number, since it uses less digits than its factorization.

13981320819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 13981320819 in words is "thirteen billion, nine hundred eighty-one million, three hundred twenty thousand, eight hundred nineteen".

Divisors: 1 3 9 27 29 31 81 87 93 101 261 279 303 783 837 899 909 1901 2349 2511 2697 2727 2929 3131 5703 8091 8181 8787 9393 17109 24273 26361 28179 51327 55129 58931 72819 79083 84537 90799 153981 165387 176793 192001 237249 253611 272397 496161 530379 576003 817191 1488483 1591137 1708999 1728009 2451573 4465449 4773411 5126997 5184027 5568029 5952031 7354719 15380991 15552081 16704087 17856093 46142973 50112261 53568279 138428919 150336783 160704837 172608899 451010349 482114511 517826697 1553480091 4660440273 13981320819