Search a number
-
+
10120404444 = 223843367037
BaseRepresentation
bin10010110110011100…
…10001110111011100
3222010022022210222020
421123032101313130
5131211310420234
64352123220140
7505536006213
oct113316216734
928108283866
1010120404444
114323782717
121b65377650
13c539264c7
146c014607a
153e3743549
hex25b391ddc

10120404444 has 12 divisors (see below), whose sum is σ = 23614277064. Its totient is φ = 3373468144.

The previous prime is 10120404439. The next prime is 10120404451. The reversal of 10120404444 is 44440402101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-4 number, since 4×101204044444 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421683507 + ... + 421683530.

It is an arithmetic number, because the mean of its divisors is an integer number (1967856422).

Almost surely, 210120404444 is an apocalyptic number.

It is an amenable number.

10120404444 is an abundant number, since it is smaller than the sum of its proper divisors (13493872620).

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

10120404444 is a wasteful number, since it uses less digits than its factorization.

10120404444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843367044 (or 843367042 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10120404444 its reverse (44440402101), we get a palindrome (54560806545).

The spelling of 10120404444 in words is "ten billion, one hundred twenty million, four hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 843367037 1686734074 2530101111 3373468148 5060202222 10120404444