Search a number
-
+
125515323414 = 23413262122739
BaseRepresentation
bin111010011100101001…
…0111101100000010110
3102222222101020001220000
41310321102331200112
54024023410322124
6133354432552130
712032246434335
oct1647122754026
9388871201800
10125515323414
114925a145248
12203aa9b2646
13bab3a34950
146109a2bd1c
1533e92a06c9
hex1d394bd816

125515323414 has 80 divisors (see below), whose sum is σ = 303010590960. Its totient is φ = 38603666880.

The previous prime is 125515323383. The next prime is 125515323499. The reversal of 125515323414 is 414323515521.

125515323414 is a `hidden beast` number, since 12 + 551 + 53 + 2 + 3 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5508457 + ... + 5531195.

It is an arithmetic number, because the mean of its divisors is an integer number (3787632387).

Almost surely, 2125515323414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125515323414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151505295480).

125515323414 is an abundant number, since it is smaller than the sum of its proper divisors (177495267546).

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

125515323414 is a wasteful number, since it uses less digits than its factorization.

125515323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387 (or 25378 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 125515323414 its reverse (414323515521), we get a palindrome (539838838935).

The spelling of 125515323414 in words is "one hundred twenty-five billion, five hundred fifteen million, three hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 2621 5242 7863 15726 22739 23589 34073 45478 47178 68146 68217 70767 102219 136434 141534 204438 204651 212301 295607 306657 409302 424602 591214 613314 613953 886821 919971 1227906 1773642 1839942 1841859 2660463 2759913 3683718 5320926 5519826 7981389 15962778 23944167 47888334 59598919 119197838 178796757 357593514 536390271 774785947 1072780542 1549571894 1609170813 2324357841 3218341626 4648715682 4827512439 6973073523 9655024878 13946147046 20919220569 41838441138 62757661707 125515323414