Search a number
-
+
405450153404131 = 11179892372307527
BaseRepresentation
bin101110000110000010011100…
…0010111100010011011100011
31222011120122201022102112002011
41130030010320113202123203
5411120343403232413011
63554153121253133351
7151254543525326563
oct13414047027423343
91864518638375064
10405450153404131
11108209498595380
1239582b5802a257
1314530a29711534
147219c6c016da3
1531d1a502e1621
hex170c1385e26e3

405450153404131 has 16 divisors (see below), whose sum is σ = 444785436714240. Its totient is φ = 366527614442080.

The previous prime is 405450153404047. The next prime is 405450153404161. The reversal of 405450153404131 is 131404351054504.

It is a cyclic number.

It is not a de Polignac number, because 405450153404131 - 221 = 405450151306979 is a prime.

It is a super-2 number, since 2×4054501534041312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405450153404161) 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 15 ways as a sum of consecutive naturals, for example, 174553890 + ... + 176861416.

It is an arithmetic number, because the mean of its divisors is an integer number (27799089794640).

Almost surely, 2405450153404131 is an apocalyptic number.

405450153404131 is a deficient number, since it is larger than the sum of its proper divisors (39335283310109).

405450153404131 is a wasteful number, since it uses less digits than its factorization.

405450153404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396954.

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 405450153404131 in words is "four hundred five trillion, four hundred fifty billion, one hundred fifty-three million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 11 179 1969 89237 981607 2307527 15973423 25382797 175707653 413047333 4543520663 205916786899 2265084655889 36859104854921 405450153404131