Search a number
-
+
4325143521204 = 223211313332310501
BaseRepresentation
bin111110111100000110101…
…001001010011110110100
3120022110221200120221120100
4332330012221022132310
51031330343220134304
613110535444034100
7624324042224142
oct76740651123664
916273850527510
104325143521204
111418312841560
1259a2a9992930
13254b22b0182c
1410d4a3908592
1577790c3b439
hex3ef06a4a7b4

4325143521204 has 144 divisors (see below), whose sum is σ = 11969756495424. Its totient is φ = 1305944640000.

The previous prime is 4325143521203. The next prime is 4325143521217. The reversal of 4325143521204 is 4021253415234.

It is a happy number.

4325143521204 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 1 + 435 + 212 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325143521203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 411873954 + ... + 411884454.

It is an arithmetic number, because the mean of its divisors is an integer number (83123308996).

Almost surely, 24325143521204 is an apocalyptic number.

4325143521204 is a gapful number since it is divisible by the number (44) 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 4325143521204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984878247712).

4325143521204 is an abundant number, since it is smaller than the sum of its proper divisors (7644612974220).

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

4325143521204 is a wasteful number, since it uses less digits than its factorization.

4325143521204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 4325143521204 its reverse (4021253415234), we get a palindrome (8346396936438).

The spelling of 4325143521204 in words is "four trillion, three hundred twenty-five billion, one hundred forty-three million, five hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 313 396 626 939 1252 1878 2817 3323 3443 3756 5634 6646 6886 9969 10329 10501 11268 13292 13772 19938 20658 21002 29907 30987 31503 36553 39876 41316 42004 59814 61974 63006 73106 94509 109659 115511 119628 123948 126012 146212 189018 219318 231022 328977 346533 378036 438636 462044 657954 693066 1039599 1040099 1315908 1386132 2079198 2080198 3120297 3286813 4158396 4160396 6240594 6573626 9360891 9860439 11441089 12481188 13147252 18721782 19720878 22882178 29581317 34323267 34894823 36154943 37443564 39441756 45764356 59162634 68646534 69789646 72309886 102969801 104684469 108464829 118325268 137293068 139579292 144619772 205939602 209368938 216929658 314053407 325394487 383843053 411879204 418737876 433859316 628106814 650788974 767686106 1151529159 1256213628 1301577948 1535372212 2303058318 3454587477 4606116636 6909174954 10922079599 13818349908 21844159198 32766238797 43688318396 65532477594 98298716391 120142875589 131064955188 196597432782 240285751178 360428626767 393194865564 480571502356 720857253534 1081285880301 1441714507068 2162571760602 4325143521204