Search a number
-
+
14125453030220 = 22571971549330641
BaseRepresentation
bin1100110110001101011010…
…0111000011001101001100
31212000101021002221012110012
43031203112213003031030
53322412411433431340
650013051000532352
72655346615460210
oct315432647031514
955011232835405
1014125453030220
114556630a93054
1217017357810b8
137b6041ab7bcc
1436b965ac2940
1519767e996565
hexcd8d69c334c

14125453030220 has 96 divisors (see below), whose sum is σ = 34095274012800. Its totient is φ = 4815303413760.

The previous prime is 14125453030217. The next prime is 14125453030231. The reversal of 14125453030220 is 2203035452141.

14125453030220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141254530302203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42556100 + ... + 42886740.

It is an arithmetic number, because the mean of its divisors is an integer number (355159104300).

Almost surely, 214125453030220 is an apocalyptic number.

14125453030220 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 14125453030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047637006400).

14125453030220 is an abundant number, since it is smaller than the sum of its proper divisors (19969820982580).

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

14125453030220 is a wasteful number, since it uses less digits than its factorization.

14125453030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332403 (or 332401 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 14125453030220 its reverse (2203035452141), we get a palindrome (16328488482361).

The spelling of 14125453030220 in words is "fourteen trillion, one hundred twenty-five billion, four hundred fifty-three million, thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1549 1970 2758 3098 3940 5516 6196 6895 7745 10843 13790 15490 21686 27580 30980 43372 54215 108430 216860 305153 330641 610306 661282 1220612 1322564 1525765 1653205 2136071 2314487 3051530 3306410 4272142 4628974 6103060 6612820 8544284 9257948 10680355 11572435 21360710 23144870 42721420 46289740 65136277 130272554 260545108 325681385 455953939 512162909 651362770 911907878 1024325818 1302725540 1823815756 2048651636 2279769695 2560814545 3585140363 4559539390 5121629090 7170280726 9119078780 10243258180 14340561452 17925701815 35851403630 71702807260 100896093073 201792186146 403584372292 504480465365 706272651511 1008960930730 1412545303022 2017921861460 2825090606044 3531363257555 7062726515110 14125453030220