Search a number
-
+
344132262231443 = 74110712898693743
BaseRepresentation
bin100111000111111001000100…
…1001111101111110110010011
31200010110201112001021210212022
41032033302021033233312103
5330101230333112401233
63215524102341122055
7132325510160133230
oct11617621117576623
91603421461253768
10344132262231443
119a71874457a254
123271b17a3b932b
1311a036c124c9ca
1460da139d56787
1529bba0acaa398
hex138fc893efd93

344132262231443 has 32 divisors (see below), whose sum is σ = 406967371130880. Its totient is φ = 284865409866240.

The previous prime is 344132262231383. The next prime is 344132262231473.

344132262231443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344132262231443 - 216 = 344132262165907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344132262231394 and 344132262231403.

It is not an unprimeable number, because it can be changed into a prime (344132262231473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35237030 + ... + 43930772.

It is an arithmetic number, because the mean of its divisors is an integer number (12717730347840).

Almost surely, 2344132262231443 is an apocalyptic number.

344132262231443 is a deficient number, since it is larger than the sum of its proper divisors (62835108899437).

344132262231443 is a wasteful number, since it uses less digits than its factorization.

344132262231443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695187.

The product of its digits is 1990656, while the sum is 44.

The spelling of 344132262231443 in words is "three hundred forty-four trillion, one hundred thirty-two billion, two hundred sixty-two million, two hundred thirty-one thousand, four hundred forty-three".

Divisors: 1 7 41 107 287 749 1289 4387 9023 30709 52849 137923 369943 965461 5654843 8693743 39583901 60856201 356443463 930230501 2495104241 6511613507 11206234727 38139450541 78443643089 266976153787 459455623807 1199067115789 3216189366649 8393469810523 49161751747349 344132262231443