Search a number
-
+
1141360104664 = 2313194324415503
BaseRepresentation
bin10000100110111110010…
…111010001010011011000
311001010001100101210002001
4100212332113101103120
5122200001141322124
62232200020050344
7145313652550033
oct20467627212330
94033040353061
101141360104664
1140005902987a
121652532339b4
138382587b2a0
143d35656001a
151ea51a9bb44
hex109be5d14d8

1141360104664 has 128 divisors (see below), whose sum is σ = 2483853926400. Its totient is φ = 487162045440.

The previous prime is 1141360104631. The next prime is 1141360104733. The reversal of 1141360104664 is 4664010631411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207404137 + ... + 207409639.

It is an arithmetic number, because the mean of its divisors is an integer number (19405108800).

Almost surely, 21141360104664 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 1141360104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241926963200).

1141360104664 is an abundant number, since it is smaller than the sum of its proper divisors (1342493821736).

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

1141360104664 is a wasteful number, since it uses less digits than its factorization.

1141360104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1141360104664 in words is "one trillion, one hundred forty-one billion, three hundred sixty million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 43 52 76 86 104 152 172 247 344 494 559 817 988 1118 1634 1976 2236 2441 3268 4472 4882 5503 6536 9764 10621 11006 19528 21242 22012 31733 42484 44024 46379 63466 71539 84968 92758 104557 104963 126932 143078 185516 209114 209926 236629 253864 286156 371032 418228 419852 473258 572312 602927 836456 839704 946516 1205854 1359241 1364519 1893032 1994297 2411708 2718482 2729038 3076177 3988594 4495951 4823416 5436964 5458076 6152354 7977188 8991902 10873928 10916152 12304708 13432823 15954376 17983804 24609416 25925861 26865646 35967608 51851722 53731292 58447363 103703444 107462584 116894726 174626699 207406888 233789452 255223637 349253398 467578904 510447274 577611389 698506796 1020894548 1155222778 1397013592 2041789096 2310445556 3317907281 4620891112 6635814562 7508948057 10974616391 13271629124 15017896114 21949232782 26543258248 30035792228 43898465564 60071584456 87796931128 142670013083 285340026166 570680052332 1141360104664