Search a number
-
+
126534541230 = 23451373133643
BaseRepresentation
bin111010111011000001…
…0111101111110101110
3110002121102001200220000
41311312002331332232
54033120320304410
6134043522205130
712066433566006
oct1656602757656
9402542050800
10126534541230
11497324a4719
12206341b37a6
13bc16c40206
1461a513d006
1534589cadc0
hex1d760bdfae

126534541230 has 160 divisors (see below), whose sum is σ = 343910137824. Its totient is φ = 33380066304.

The previous prime is 126534541229. The next prime is 126534541249. The reversal of 126534541230 is 32145435621.

126534541230 is a `hidden beast` number, since 1 + 2 + 65 + 34 + 541 + 23 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34731789 + ... + 34735431.

Almost surely, 2126534541230 is an apocalyptic number.

126534541230 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 126534541230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171955068912).

126534541230 is an abundant number, since it is smaller than the sum of its proper divisors (217375596594).

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

126534541230 is a wasteful number, since it uses less digits than its factorization.

126534541230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 126534541230 its reverse (32145435621), we get a palindrome (158679976851).

The spelling of 126534541230 in words is "one hundred twenty-six billion, five hundred thirty-four million, five hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 137 162 270 274 313 405 411 626 685 810 822 939 1233 1370 1565 1878 2055 2466 2817 3130 3643 3699 4110 4695 5634 6165 7286 7398 8451 9390 10929 11097 12330 14085 16902 18215 18495 21858 22194 25353 28170 32787 36430 36990 42255 42881 50706 54645 55485 65574 84510 85762 98361 109290 110970 126765 128643 163935 196722 214405 253530 257286 295083 327870 385929 428810 491805 499091 590166 643215 771858 983610 998182 1140259 1157787 1286430 1475415 1497273 1929645 2280518 2315574 2495455 2950830 2994546 3420777 3473361 3859290 4491819 4990910 5701295 5788935 6841554 6946722 7486365 8983638 10262331 11402590 11577870 13475457 14972730 17103885 17366805 20524662 22459095 26950914 30786993 34207770 34733610 40426371 44918190 51311655 61573986 67377285 80852742 92360979 102623310 134754570 153934965 156215483 184721958 202131855 307869930 312430966 404263710 461804895 468646449 781077415 923609790 937292898 1405939347 1562154830 2343232245 2811878694 4217818041 4686464490 7029696735 8435636082 12653454123 14059393470 21089090205 25306908246 42178180410 63267270615 126534541230