Search a number
-
+
13445709930 = 23252916573109
BaseRepresentation
bin11001000010110110…
…10100000001101010
31021201001110211112200
430201123110001222
5210014100204210
610102112121030
7654124435332
oct144133240152
937631424480
1013445709930
11577a830974
122732b36176
131363828aa3
14917a2c0c2
1553a6440c0
hex3216d406a

13445709930 has 96 divisors (see below), whose sum is σ = 36197787600. Its totient is φ = 3458681856.

The previous prime is 13445709899. The next prime is 13445709931. The reversal of 13445709930 is 3990754431.

13445709930 is a `hidden beast` number, since 1 + 3 + 44 + 570 + 9 + 9 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2631997809 + 10813712121 = 51303^2 + 103989^2 .

It is a super-3 number, since 3×134457099303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13445709931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4323216 + ... + 4326324.

Almost surely, 213445709930 is an apocalyptic number.

13445709930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445709930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098893800).

13445709930 is an abundant number, since it is smaller than the sum of its proper divisors (22752077670).

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

13445709930 is a wasteful number, since it uses less digits than its factorization.

13445709930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13445709930 in words is "thirteen billion, four hundred forty-five million, seven hundred nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1657 2610 3109 3314 4971 6218 8285 9327 9942 14913 15545 16570 18654 24855 27981 29826 31090 46635 48053 49710 55962 74565 90161 93270 96106 139905 144159 149130 180322 240265 270483 279810 288318 432477 450805 480530 540966 720795 811449 864954 901610 1352415 1441590 1622898 2162385 2704830 4057245 4324770 5151613 8114490 10303226 15454839 25758065 30909678 46364517 51516130 77274195 92729034 149396777 154548390 231822585 298793554 448190331 463645170 746983885 896380662 1344570993 1493967770 2240951655 2689141986 4481903310 6722854965 13445709930