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2142505242 = 23519922153
BaseRepresentation
bin111111110110100…
…0000100100011010
312112022111112200000
41333231000210122
513341440131432
6552333153430
7104043664653
oct17755004432
95468445600
102142505242
119aa42a999
124b962b876
13281b50aa7
1416479252a
15c816157c
hex7fb4091a

2142505242 has 48 divisors (see below), whose sum is σ = 4838433600. Its totient is φ = 710547552.

The previous prime is 2142505241. The next prime is 2142505243. The reversal of 2142505242 is 2425052412.

2142505242 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2142505241) and next prime (2142505243).

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

It is not an unprimeable number, because it can be changed into a prime (2142505241) 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, 85638 + ... + 107790.

It is an arithmetic number, because the mean of its divisors is an integer number (100800700).

Almost surely, 22142505242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142505242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419216800).

2142505242 is an abundant number, since it is smaller than the sum of its proper divisors (2695928358).

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

2142505242 is a wasteful number, since it uses less digits than its factorization.

2142505242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22369 (or 22357 counting only the distinct ones).

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

The square root of 2142505242 is about 46287.2038688880. The cubic root of 2142505242 is about 1289.1614127948.

Adding to 2142505242 its reverse (2425052412), we get a palindrome (4567557654).

The spelling of 2142505242 in words is "two billion, one hundred forty-two million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 243 398 486 597 1194 1791 3582 5373 10746 16119 22153 32238 44306 48357 66459 96714 132918 199377 398754 598131 1196262 1794393 3588786 4408447 5383179 8816894 10766358 13225341 26450682 39676023 79352046 119028069 238056138 357084207 714168414 1071252621 2142505242