Search a number
-
+
102340024424 = 231143227283421
BaseRepresentation
bin101111101001111110…
…0001101100001101000
3100210011020210220021222
41133103330031201220
53134043021240144
6115003033521212
710252036566101
oct1372374154150
9323136726258
10102340024424
113a447304090
1217a01573208
13985c559591
144d4bb4b3a8
1529de8b52ee
hex17d3f0d868

102340024424 has 128 divisors (see below), whose sum is σ = 216416724480. Its totient is φ = 44969299200.

The previous prime is 102340024399. The next prime is 102340024433. The reversal of 102340024424 is 424420043201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102340024393 and 102340024402.

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, 243087734 + ... + 243088154.

It is an arithmetic number, because the mean of its divisors is an integer number (1690755660).

Almost surely, 2102340024424 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 102340024424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108208362240).

102340024424 is an abundant number, since it is smaller than the sum of its proper divisors (114076700056).

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

102340024424 is a wasteful number, since it uses less digits than its factorization.

102340024424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 102340024424 its reverse (424420043201), we get a palindrome (526760067625).

The spelling of 102340024424 in words is "one hundred two billion, three hundred forty million, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 227 283 344 421 454 473 566 842 908 946 1132 1684 1816 1892 2264 2497 3113 3368 3784 4631 4994 6226 9262 9761 9988 12169 12452 18103 18524 19522 19976 24338 24904 36206 37048 39044 48676 64241 72412 78088 95567 97352 107371 119143 128482 133859 144824 191134 199133 214742 238286 256964 267718 382268 398266 429484 476572 513928 535436 706651 764536 796532 858968 953144 1051237 1070872 1310573 1413302 1593064 2102474 2621146 2762363 2826604 4109381 4204948 5123149 5242292 5524726 5653208 8218762 8409896 10246298 10484584 11049452 16437524 20492596 22098904 27045461 30385993 32875048 40985192 45203191 54090922 56354639 60771986 90406382 108181844 112709278 121543972 180812764 216363688 225418556 243087944 297500071 361625528 450837112 595000142 1162954823 1190000284 2325909646 2380000568 4651819292 9303638584 12792503053 25585006106 51170012212 102340024424