Search a number
-
+
4153145022 = 233135916161
BaseRepresentation
bin1111011110001011…
…1111011010111110
3101201102212121221000
43313202333122332
532001201120042
61524040151130
7204630102345
oct36742773276
911642777830
104153145022
111841384364
1297aa684a6
13512581c80
142b581ab5c
1519492674c
hexf78bf6be

4153145022 has 32 divisors (see below), whose sum is σ = 9939152160. Its totient is φ = 1277890560.

The previous prime is 4153144969. The next prime is 4153145023. The reversal of 4153145022 is 2205413514.

4153145022 is a `hidden beast` number, since 4 + 153 + 1 + 4 + 502 + 2 = 666.

It is a super-2 number, since 2×41531450222 = 34497227147526760968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153145023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2957379 + ... + 2958782.

It is an arithmetic number, because the mean of its divisors is an integer number (310598505).

Almost surely, 24153145022 is an apocalyptic number.

4153145022 is an abundant number, since it is smaller than the sum of its proper divisors (5786007138).

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

4153145022 is a wasteful number, since it uses less digits than its factorization.

4153145022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916185 (or 5916179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4153145022 is about 64444.8991154459. The cubic root of 4153145022 is about 1607.4064207542.

Adding to 4153145022 its reverse (2205413514), we get a palindrome (6358558536).

The spelling of 4153145022 in words is "four billion, one hundred fifty-three million, one hundred forty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 5916161 11832322 17748483 35496966 53245449 76910093 106490898 153820186 159736347 230730279 319472694 461460558 692190837 1384381674 2076572511 4153145022