Search a number
-
+
141126306435144 = 23321960087589377
BaseRepresentation
bin100000000101101010000111…
…010111010001000001001000
3200111200112122221111200020200
4200011222013113101001020
5121444203133421411034
61220052310302452200
741504016302026602
oct4005520727210110
9614615587450220
10141126306435144
1140a7036a911328
12139b3282594060
1360991cc5a1214
1426bc79a456172
15114b0446c1a99
hex805a875d1048

141126306435144 has 24 divisors (see below), whose sum is σ = 382217079928710. Its totient is φ = 47042102145024.

The previous prime is 141126306435097. The next prime is 141126306435173. The reversal of 141126306435144 is 441534603621141.

141126306435144 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 630 + 6 + 4 + 3 + 5 + 1 + 4 + 4 = 666.

141126306435144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82980038798244 + 58146267636900 = 9109338^2 + 7625370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141126306435144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 980043794617 + ... + 980043794760.

Almost surely, 2141126306435144 is an apocalyptic number.

It is an amenable number.

141126306435144 is an abundant number, since it is smaller than the sum of its proper divisors (241090773493566).

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

141126306435144 is a wasteful number, since it uses less digits than its factorization.

141126306435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960087589389 (or 1960087589382 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 141126306435144 in words is "one hundred forty-one trillion, one hundred twenty-six billion, three hundred six million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1960087589377 3920175178754 5880262768131 7840350357508 11760525536262 15680700715016 17640788304393 23521051072524 35281576608786 47042102145048 70563153217572 141126306435144