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2430230320342 = 2112174334633967
BaseRepresentation
bin100011010111010101000…
…000111101010011010110
322121022211221002121110001
4203113111000331103112
5304304102430222332
65100233221521514
7340402241613556
oct43272500752326
98538757077401
102430230320342
11857722729300
12332bb327329a
13148228ba9816
14858a38d3166
15433388480e7
hex235d503d4d6

2430230320342 has 96 divisors (see below), whose sum is σ = 4343577993216. Its totient is φ = 1014943184640.

The previous prime is 2430230320327. The next prime is 2430230320351.

2430230320342 is nontrivially palindromic in base 10.

2430230320342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2430230320342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612609643 + ... + 612613609.

It is an arithmetic number, because the mean of its divisors is an integer number (45245604096).

Almost surely, 22430230320342 is an apocalyptic number.

2430230320342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2430230320342 is a deficient number, since it is larger than the sum of its proper divisors (1913347672874).

2430230320342 is a wasteful number, since it uses less digits than its factorization.

2430230320342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 2430230 and 320342, that added together give a palindrome (2750572).

The spelling of 2430230320342 in words is "two trillion, four hundred thirty billion, two hundred thirty million, three hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 11 17 22 34 43 86 121 187 242 374 473 731 946 1462 2057 3463 3967 4114 5203 6926 7934 8041 10406 16082 38093 43637 58871 67439 76186 87274 88451 117742 134878 148909 170581 176902 297818 341162 419023 480007 647581 741829 838046 960014 1295162 1483658 1637999 1876391 2531453 2899877 3275998 3752782 5062906 5799754 7123391 8160119 13737721 14246782 16320238 18017989 20640301 27475442 27845983 31898647 36035978 41280602 55691966 63797294 151114931 233541257 302229862 306305813 350885117 467082514 590722003 612611626 701770234 1181444006 1662264241 2568953827 3324528482 5137907654 6497942033 10042274051 12995884066 20084548102 28258492097 56516984194 71477362363 110465014561 142954724726 220930029122 1215115160171 2430230320342