Search a number
-
+
5145253123040 = 255163379520547
BaseRepresentation
bin100101011011111100011…
…1111000001001111100000
3200012212210112111022020222
41022313320333001033200
51133244434244414130
614535410251022212
71040506111636022
oct112677077011740
920185715438228
105145253123040
1117040a92847a8
126b1226a3a968
132b427007bb94
1413b062926012
158dc8e6e8ce5
hex4adf8fc13e0

5145253123040 has 96 divisors (see below), whose sum is σ = 12262528414080. Its totient is φ = 2040073910784.

The previous prime is 5145253122907. The next prime is 5145253123057. The reversal of 5145253123040 is 403213525415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9624047 + ... + 10144593.

It is an arithmetic number, because the mean of its divisors is an integer number (127734670980).

Almost surely, 25145253123040 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 5145253123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131264207040).

5145253123040 is an abundant number, since it is smaller than the sum of its proper divisors (7117275291040).

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

5145253123040 is a wasteful number, since it uses less digits than its factorization.

5145253123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521104 (or 521096 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 5145253123040 its reverse (403213525415), we get a palindrome (5548466648455).

The spelling of 5145253123040 in words is "five trillion, one hundred forty-five billion, two hundred fifty-three million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 379 652 758 815 1304 1516 1630 1895 2608 3032 3260 3790 5216 6064 6520 7580 12128 13040 15160 26080 30320 60640 61777 123554 247108 308885 494216 520547 617770 988432 1041094 1235540 1976864 2082188 2471080 2602735 4164376 4942160 5205470 8328752 9884320 10410940 16657504 20821880 41643760 83287520 84849161 169698322 197287313 339396644 394574626 424245805 678793288 789149252 848491610 986436565 1357586576 1578298504 1696983220 1972873130 2715173152 3156597008 3393966440 3945746260 6313194016 6787932880 7891492520 13575865760 15782985040 31565970080 32157832019 64315664038 128631328076 160789160095 257262656152 321578320190 514525312304 643156640380 1029050624608 1286313280760 2572626561520 5145253123040