Search a number
-
+
1003411141304 = 2311136531343197
BaseRepresentation
bin11101001100111111111…
…01101111001010111000
310112220222110002100122212
432212133331233022320
5112414441223010204
62044543303034252
7132331314655265
oct16463775571270
93486873070585
101003411141304
113575a9480940
1214257443b988
137380cbc2850
14367cb4b426c
151b17ae6ec6e
hexe99ff6f2b8

1003411141304 has 64 divisors (see below), whose sum is σ = 2213697759840. Its totient is φ = 420366620160.

The previous prime is 1003411141289. The next prime is 1003411141351. The reversal of 1003411141304 is 4031411143001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003411141304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75434 + ... + 1418630.

Almost surely, 21003411141304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003411141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106848879920).

1003411141304 is an abundant number, since it is smaller than the sum of its proper divisors (1210286618536).

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

1003411141304 is a wasteful number, since it uses less digits than its factorization.

1003411141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343880 (or 1343876 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1003411141304 its reverse (4031411143001), we get a palindrome (5034822284305).

The spelling of 1003411141304 in words is "one trillion, three billion, four hundred eleven million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 653 1144 1306 2612 5224 7183 8489 14366 16978 28732 33956 57464 67912 93379 186758 373516 747032 1343197 2686394 5372788 10745576 14775167 17461561 29550334 34923122 59100668 69846244 118201336 139692488 192077171 384154342 768308684 877107641 1536617368 1754215282 3508430564 7016861128 9648184051 11402399333 19296368102 22804798666 38592736204 45609597332 77185472408 91219194664 125426392663 250852785326 501705570652 1003411141304