Search a number
-
+
120414315533421 = 371313727111880251
BaseRepresentation
bin11011011000010000100100…
…100000001101010001101101
3120210100111101200112211222210
4123120100210200031101231
5111240332004234032141
61104033323424401033
734235434664130210
oct3330204440152155
9523314350484883
10120414315533421
1135405473a18768
1211609126776179
135226037853040
1421a41265a3777
15ddc3bcc0d916
hex6d842480d46d

120414315533421 has 64 divisors (see below), whose sum is σ = 199779838304256. Its totient is φ = 62818960320000.

The previous prime is 120414315533401. The next prime is 120414315533423. The reversal of 120414315533421 is 124335513414021.

It is not a de Polignac number, because 120414315533421 - 25 = 120414315533389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 120414315533421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120414315533423) 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 63 ways as a sum of consecutive naturals, for example, 4195546 + ... + 16075796.

It is an arithmetic number, because the mean of its divisors is an integer number (3121559973504).

Almost surely, 2120414315533421 is an apocalyptic number.

It is an amenable number.

120414315533421 is a deficient number, since it is larger than the sum of its proper divisors (79365522770835).

120414315533421 is a wasteful number, since it uses less digits than its factorization.

120414315533421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880682.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 120414315533421 its reverse (124335513414021), we get a palindrome (244749828947442).

The spelling of 120414315533421 in words is "one hundred twenty trillion, four hundred fourteen billion, three hundred fifteen million, five hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 137 271 273 411 813 959 1781 1897 2877 3523 5343 5691 10569 12467 24661 37127 37401 73983 111381 259889 482651 779667 1447953 3378557 10135671 11880251 35640753 83161757 154443263 249485271 463329789 1081102841 1627594387 3219548021 3243308523 4882783161 9658644063 11393160709 21158727031 22536836147 34179482127 41854124273 63476181093 67610508441 125562372819 148111089217 292978869911 441078078877 444333267651 878936609733 1323234236631 3087546552139 5734015025401 9262639656417 17202045076203 40138105177807 120414315533421