Search a number
-
+
312301140412401 = 3471063518152081
BaseRepresentation
bin100011100000010010100011…
…0100010011000011111110001
31111221202200211102211200010000
41013000211012202120133301
5311413220213421144101
63024113055134300213
7122532004251664440
oct10700450642303761
91457680742750100
10312301140412401
11905661960a8308
122b03a078057669
1310534b42c8342a
145719654bb4d57
152618a09108486
hex11c09468987f1

312301140412401 has 40 divisors (see below), whose sum is σ = 533671773160064. Its totient is φ = 178289912903040.

The previous prime is 312301140412381. The next prime is 312301140412423. The reversal of 312301140412401 is 104214041103213.

It is a happy number.

312301140412401 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 0 + 11 + 404 + 1 + 240 + 1 = 666.

It is not a de Polignac number, because 312301140412401 - 25 = 312301140412369 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (312301140412441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258473320 + ... + 259678761.

Almost surely, 2312301140412401 is an apocalyptic number.

It is an amenable number.

312301140412401 is a deficient number, since it is larger than the sum of its proper divisors (221370632747663).

312301140412401 is a wasteful number, since it uses less digits than its factorization.

312301140412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518153163 (or 518153154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312301140412401 its reverse (104214041103213), we get a palindrome (416515181515614).

The spelling of 312301140412401 in words is "three hundred twelve trillion, three hundred one billion, one hundred forty million, four hundred twelve thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1063 3189 7441 9567 22323 28701 66969 86103 200907 602721 518152081 1554456243 3627064567 4663368729 10881193701 13990106187 32643581103 41970318561 97930743309 293792229927 550795662103 1652386986309 3855569634721 4957160958927 11566708904163 14871482876781 34700126712489 44614448630343 104100380137467 312301140412401