Search a number
-
+
42300133414266 = 2371377472771821
BaseRepresentation
bin10011001111000110001000…
…11011010001010101111010
312112202212001000202000222210
421213203010123101111322
521021021133123224031
6225544225113555550
711624040511345140
oct1147430433212572
9175685030660883
1042300133414266
1112529427606282
1248b2071115bb6
131a7ab684a0290
14a634a1ab9590
154d54cbe5d746
hex2678c46d157a

42300133414266 has 32 divisors (see below), whose sum is σ = 104123405328768. Its totient is φ = 11156079142080.

The previous prime is 42300133414261. The next prime is 42300133414267. The reversal of 42300133414266 is 66241433100324.

42300133414266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42300133414261) 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, 38736385365 + ... + 38736386456.

It is an arithmetic number, because the mean of its divisors is an integer number (3253856416524).

Almost surely, 242300133414266 is an apocalyptic number.

42300133414266 is an abundant number, since it is smaller than the sum of its proper divisors (61823271914502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42300133414266 is a wasteful number, since it uses less digits than its factorization.

42300133414266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77472771846.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 42300133414266 in words is "forty-two trillion, three hundred billion, one hundred thirty-three million, four hundred fourteen thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 77472771821 154945543642 232418315463 464836630926 542309402747 1007146033673 1084618805494 1626928208241 2014292067346 3021438101019 3253856416482 6042876202038 7050022235711 14100044471422 21150066707133 42300133414266