Search a number
-
+
125136041140 = 225115352120599
BaseRepresentation
bin111010010001010110…
…0000111010010110100
3102221222221112112102101
41310202230013102310
54022234311304030
6133253043351444
712016662541165
oct1644254072264
9387887475371
10125136041140
114908503a920
1220303982584
13ba53298376
1460b14db76c
1533c5d307ca
hex1d22b074b4

125136041140 has 96 divisors (see below), whose sum is σ = 292659091200. Its totient is φ = 44557593600.

The previous prime is 125136041099. The next prime is 125136041141. The reversal of 125136041140 is 41140631521.

It is a junction number, because it is equal to n+sod(n) for n = 125136041099 and 125136041108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125136041141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6064561 + ... + 6085159.

It is an arithmetic number, because the mean of its divisors is an integer number (3048532200).

Almost surely, 2125136041140 is an apocalyptic number.

125136041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125136041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146329545600).

125136041140 is an abundant number, since it is smaller than the sum of its proper divisors (167523050060).

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

125136041140 is a wasteful number, since it uses less digits than its factorization.

125136041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21193 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 125136041140 its reverse (41140631521), we get a palindrome (166276672661).

The spelling of 125136041140 in words is "one hundred twenty-five billion, one hundred thirty-six million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 521 530 583 1042 1060 1166 2084 2332 2605 2915 5210 5731 5830 10420 11462 11660 20599 22924 27613 28655 41198 55226 57310 82396 102995 110452 114620 138065 205990 226589 276130 303743 411980 453178 552260 607486 906356 1091747 1132945 1214972 1518715 2183494 2265890 3037430 4366988 4531780 5458735 6074860 10732079 10917470 12009217 21464158 21834940 24018434 42928316 48036868 53660395 60046085 107320790 118052869 120092170 214641580 236105738 240184340 472211476 568800187 590264345 1137600374 1180528690 2275200748 2361057380 2844000935 5688001870 6256802057 11376003740 12513604114 25027208228 31284010285 62568020570 125136041140