Search a number
-
+
2145540042 = 23343399157
BaseRepresentation
bin111111111100010…
…0101011111001010
312112112012201122000
41333320211133022
513343224240132
6552522211430
7104111534532
oct17770453712
95475181560
102145540042
11a01112a98
124ba653b76
13282674229
14164d424c2
15c856087c
hex7fe257ca

2145540042 has 32 divisors (see below), whose sum is σ = 4769486400. Its totient is φ = 714937104.

The previous prime is 2145539987. The next prime is 2145540043. The reversal of 2145540042 is 2400455412.

2145540042 is a `hidden beast` number, since 214 + 5 + 5 + 400 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2145539988 and 2145540015.

It is not an unprimeable number, because it can be changed into a prime (2145540043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229728 + ... + 238884.

It is an arithmetic number, because the mean of its divisors is an integer number (149046450).

Almost surely, 22145540042 is an apocalyptic number.

2145540042 is an abundant number, since it is smaller than the sum of its proper divisors (2623946358).

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

2145540042 is a wasteful number, since it uses less digits than its factorization.

2145540042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2145540042 is about 46319.9745466251. The cubic root of 2145540042 is about 1289.7698129031.

Adding to 2145540042 its reverse (2400455412), we get a palindrome (4545995454).

The spelling of 2145540042 in words is "two billion, one hundred forty-five million, five hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 4339 8678 9157 13017 18314 26034 27471 39051 54942 78102 82413 117153 164826 234306 247239 494478 39732223 79464446 119196669 238393338 357590007 715180014 1072770021 2145540042