Search a number
-
+
10041333444 = 22322411157369
BaseRepresentation
bin10010101101000001…
…01001011011000100
3221220210112120221200
421112200221123010
5131031040132234
64340220342500
7503555632422
oct112640513304
927823476850
1010041333444
11429308648a
121b429a4a30
13c4042cc2c
146b3842112
153db824d99
hex2568296c4

10041333444 has 36 divisors (see below), whose sum is σ = 25487602140. Its totient is φ = 3333219840.

The previous prime is 10041333439. The next prime is 10041333457. The reversal of 10041333444 is 44433314001.

It can be written as a sum of positive squares in 2 ways, for example, as 6776582400 + 3264751044 = 82320^2 + 57138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100413334442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570009 + ... + 587360.

Almost surely, 210041333444 is an apocalyptic number.

It is an amenable number.

10041333444 is an abundant number, since it is smaller than the sum of its proper divisors (15446268696).

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

10041333444 is a wasteful number, since it uses less digits than its factorization.

10041333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157620 (or 1157615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10041333444 its reverse (44433314001), we get a palindrome (54474647445).

The spelling of 10041333444 in words is "ten billion, forty-one million, three hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 1157369 2314738 3472107 4629476 6944214 10416321 13888428 20832642 41665284 278925929 557851858 836777787 1115703716 1673555574 2510333361 3347111148 5020666722 10041333444