Search a number
-
+
123541406144 = 2613601247067
BaseRepresentation
bin111001100001110100…
…1000100000111000000
3102210212210221200102222
41303003221010013000
54011003044444034
6132430521030212
711632320424442
oct1630351040700
9383783850388
10123541406144
11484369a2a62
121bb39925368
13b85aac0570
145d9d802492
153330d4112e
hex1cc3a441c0

123541406144 has 56 divisors (see below), whose sum is σ = 264450716208. Its totient is φ = 56924006400.

The previous prime is 123541406141. The next prime is 123541406159. The reversal of 123541406144 is 441604145321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123541406141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376499 + ... + 623565.

It is an arithmetic number, because the mean of its divisors is an integer number (4722334218).

Almost surely, 2123541406144 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 123541406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225358104).

123541406144 is an abundant number, since it is smaller than the sum of its proper divisors (140909310064).

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

123541406144 is a wasteful number, since it uses less digits than its factorization.

123541406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247693 (or 247683 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 123541406144 in words is "one hundred twenty-three billion, five hundred forty-one million, four hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 601 832 1202 2404 4808 7813 9616 15626 19232 31252 38464 62504 125008 247067 250016 494134 500032 988268 1976536 3211871 3953072 6423742 7906144 12847484 15812288 25694968 51389936 102779872 148487267 205559744 296974534 593949068 1187898136 1930334471 2375796272 3860668942 4751592544 7721337884 9503185088 15442675768 30885351536 61770703072 123541406144