Search a number
-
+
153414113847743 = 7241361092114803
BaseRepresentation
bin100010111000011110000001…
…110000100110100110111111
3202010012020122101000012012002
4202320132001300212212333
5130102014101121111433
61302141245420332515
744212542520505600
oct4270360160464677
9663166571005162
10153414113847743
1144978618851011
12152588243a413b
13677ab72a97838
1429c53d5b45da7
1512b09be68c9e8
hex8b8781c269bf

153414113847743 has 24 divisors (see below), whose sum is σ = 182819180421360. Its totient is φ = 128286934634880.

The previous prime is 153414113847733. The next prime is 153414113847773. The reversal of 153414113847743 is 347748311414351.

153414113847743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153414113847743 - 24 = 153414113847727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153414113847733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71485580 + ... + 73600382.

It is an arithmetic number, because the mean of its divisors is an integer number (7617465850890).

Almost surely, 2153414113847743 is an apocalyptic number.

153414113847743 is a deficient number, since it is larger than the sum of its proper divisors (29405066573617).

153414113847743 is a wasteful number, since it uses less digits than its factorization.

153414113847743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150967 (or 2150960 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The spelling of 153414113847743 in words is "one hundred fifty-three trillion, four hundred fourteen billion, one hundred thirteen million, eight hundred forty-seven thousand, seven hundred forty-three".

Divisors: 1 7 41 49 287 2009 36109 252763 1480469 1769341 2114803 10363283 14803621 72542981 86706923 103625347 606948461 4248639227 76363421527 534543950689 3130900282607 3741807654823 21916301978249 153414113847743