Search a number
-
+
4042140120 = 2332511228167
BaseRepresentation
bin1111000011101110…
…0010100111011000
3101102200222222211100
43300323202213120
531234241440440
61505033031400
7202111424034
oct36073424730
911380888740
104042140120
111794756777
12949855560
134c55873b5
142a4ba31c4
15189ceb230
hexf0ee29d8

4042140120 has 48 divisors (see below), whose sum is σ = 13136956560. Its totient is φ = 1077903936.

The previous prime is 4042140119. The next prime is 4042140139. The reversal of 4042140120 is 210412404.

4042140120 is a `hidden beast` number, since 404 + 2 + 140 + 120 = 666.

It is a super-2 number, since 2×40421401202 = 32677793499427228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4042140093 and 4042140102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5613724 + ... + 5614443.

It is an arithmetic number, because the mean of its divisors is an integer number (273686595).

Almost surely, 24042140120 is an apocalyptic number.

4042140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042140120 is an abundant number, since it is smaller than the sum of its proper divisors (9094816440).

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

4042140120 is a wasteful number, since it uses less digits than its factorization.

4042140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228184 (or 11228177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4042140120 is about 63577.8272670591. The cubic root of 4042140120 is about 1592.9560293485.

Adding to 4042140120 its reverse (210412404), we get a palindrome (4252552524).

The spelling of 4042140120 in words is "four billion, forty-two million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11228167 22456334 33684501 44912668 56140835 67369002 89825336 101053503 112281670 134738004 168422505 202107006 224563340 269476008 336845010 404214012 449126680 505267515 673690020 808428024 1010535030 1347380040 2021070060 4042140120