Search a number
-
+
5431024210125 = 353411795093877
BaseRepresentation
bin100111100001000001001…
…0001001101000011001101
3201020012102102012122221110
41033002002101031003031
51202440214144211000
615314551133122233
71100243562045303
oct117020221150315
921205372178843
105431024210125
111804314642138
1273869b029379
133051b3030397
1414ac12004273
1596417b08850
hex4f08244d0cd

5431024210125 has 128 divisors (see below), whose sum is σ = 9330058483200. Its totient is φ = 2803867392000.

The previous prime is 5431024210123. The next prime is 5431024210147. The reversal of 5431024210125 is 5210124201345.

It is not a de Polignac number, because 5431024210125 - 21 = 5431024210123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5431024210092 and 5431024210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431024210123) 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 127 ways as a sum of consecutive naturals, for example, 1400829687 + ... + 1400833563.

It is an arithmetic number, because the mean of its divisors is an integer number (72891081900).

Almost surely, 25431024210125 is an apocalyptic number.

It is an amenable number.

5431024210125 is a deficient number, since it is larger than the sum of its proper divisors (3899034273075).

5431024210125 is a wasteful number, since it uses less digits than its factorization.

5431024210125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 5431024210125 in words is "five trillion, four hundred thirty-one billion, twenty-four million, two hundred ten thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 179 205 375 509 537 615 895 1025 1527 2545 2685 3075 3877 4475 5125 7339 7635 11631 12725 13425 15375 19385 20869 22017 22375 36695 38175 58155 62607 63625 67125 91111 96925 104345 110085 158957 183475 190875 273333 290775 313035 455555 476871 484625 521725 550425 693983 794785 917375 1366665 1453875 1565175 1973393 2081949 2277775 2384355 2608625 2752125 3469915 3735551 3973925 5920179 6833325 7825875 9866965 10409745 11206653 11388875 11921775 17349575 18677755 19869625 28453303 29600895 34166625 49334825 52048725 56033265 59608875 80909113 85359909 86747875 93388775 142266515 148004475 242727339 246674125 260243625 280166325 353237347 404545565 426799545 466943875 711332575 740022375 1059712041 1213636695 1400831625 1766186735 2022727825 2133997725 3556662875 5298560205 6068183475 8830933675 10113639125 10669988625 14482731227 26492801025 30340917375 43448193681 44154668375 72413656135 132464005125 217240968405 362068280675 1086204842025 1810341403375 5431024210125