Search a number
-
+
13841695504 = 2471323217971
BaseRepresentation
bin11001110010000011…
…11000001100010000
31022201122120222122001
430321001320030100
5211321433224004
610205255323344
71000003320250
oct147101701420
938648528561
1013841695504
11596330477a
122823680554
1313c7893090
14954469960
155602b31a4
hex339078310

13841695504 has 120 divisors (see below), whose sum is σ = 34506527552. Its totient is φ = 5237464320.

The previous prime is 13841695499. The next prime is 13841695507. The reversal of 13841695504 is 40559614831.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (13841695507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761239 + ... + 779209.

Almost surely, 213841695504 is an apocalyptic number.

13841695504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13841695504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253263776).

13841695504 is an abundant number, since it is smaller than the sum of its proper divisors (20664832048).

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

13841695504 is a wasteful number, since it uses less digits than its factorization.

13841695504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 13841695504 in words is "thirteen billion, eight hundred forty-one million, six hundred ninety-five thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 529 598 644 728 1058 1196 1288 1456 2093 2116 2392 2576 3703 4186 4232 4784 6877 7406 8372 8464 13754 14812 16744 17971 27508 29624 33488 35942 48139 55016 59248 71884 96278 110032 125797 143768 192556 233623 251594 287536 385112 413333 467246 503188 770224 826666 934492 1006376 1635361 1653332 1868984 2012752 2893331 3270722 3306664 3737968 5373329 5786662 6541444 6613328 9506659 10746658 11573324 13082888 19013318 21493316 23146648 26165776 37613303 38026636 42986632 46293296 66546613 75226606 76053272 85973264 123586567 133093226 150453212 152106544 247173134 266186452 300906424 494346268 532372904 601812848 865105969 988692536 1064745808 1730211938 1977385072 3460423876 6920847752 13841695504