Search a number
-
+
13410002314125 = 345323157936469
BaseRepresentation
bin1100001100100100001001…
…1011001010001110001101
31202110222120010012002210000
43003021002123022032031
53224202141043023000
644304245305034513
72552561233643154
oct303110233121615
952428503162700
1013410002314125
1143001717877aa
121606b46785a39
13763733614311
1434509479059b
15183c59249000
hexc32426ca38d

13410002314125 has 160 divisors (see below), whose sum is σ = 26104420742400. Its totient is φ = 6836524675200.

The previous prime is 13410002314123. The next prime is 13410002314153. The reversal of 13410002314125 is 52141320001431.

13410002314125 is a `hidden beast` number, since 1 + 3 + 4 + 10 + 0 + 0 + 231 + 412 + 5 = 666.

It is not a de Polignac number, because 13410002314125 - 21 = 13410002314123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410002314123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 367691391 + ... + 367727859.

It is an arithmetic number, because the mean of its divisors is an integer number (163152629640).

Almost surely, 213410002314125 is an apocalyptic number.

13410002314125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13410002314125 is a deficient number, since it is larger than the sum of its proper divisors (12694418428275).

13410002314125 is a wasteful number, since it uses less digits than its factorization.

13410002314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38098 (or 38079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13410002314125 its reverse (52141320001431), we get a palindrome (65551322315556).

The spelling of 13410002314125 in words is "thirteen trillion, four hundred ten billion, two million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 125 135 207 225 345 375 405 575 621 675 1035 1125 1579 1725 1863 2025 2875 3105 3375 4737 5175 7895 8625 9315 10125 14211 15525 23685 25875 36317 36469 39475 42633 46575 71055 77625 108951 109407 118425 127899 181585 182345 197375 213165 232875 326853 328221 355275 544755 547035 592125 639495 838787 907925 911725 980559 984663 1065825 1634265 1641105 1776375 2516361 2723775 2735175 2941677 2953989 3197475 4193935 4539625 4558625 4902795 4923315 5329125 7549083 8171325 8205525 12581805 13618875 13675875 14708385 14769945 15987375 20969675 22647249 24513975 24616575 37745415 40856625 41027625 57584551 62909025 67941747 73541925 73849725 104848375 113236245 122569875 123082875 172753653 188727075 287922755 314545125 339708735 367709625 369248625 518260959 566181225 863768265 943635375 1324444673 1439613775 1554782877 1698543675 2591304795 2830906125 3973334019 4318841325 4664348631 6622223365 7198068875 7773914385 8492718375 11920002057 12956523975 19866670095 21594206625 23321743155 33111116825 35760006171 38869571925 59600010285 64782619875 99333350475 107280018513 116608715775 165555584125 178800030855 194347859625 298000051425 496666752375 536400092565 583043578875 894000154275 1490000257125 2682000462825 4470000771375 13410002314125