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3044024010144 = 253213813040601
BaseRepresentation
bin101100010010111101111…
…110000100010110100000
3101210000011021012201010100
4230102331332010112200
5344333130121311034
610250223314502400
7432631516111635
oct54227576042640
911700137181110
103044024010144
11a73a66218137
12411b51594a00
1319108648c650
14a748daa818c
15542ae645099
hex2c4bdf845a0

3044024010144 has 72 divisors (see below), whose sum is σ = 9322323542532. Its totient is φ = 936622771200.

The previous prime is 3044024010119. The next prime is 3044024010149. The reversal of 3044024010144 is 4410104204403.

3044024010144 is a `hidden beast` number, since 30 + 440 + 2 + 40 + 10 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3040350195600 + 3673814544 = 1743660^2 + 60612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3044024010149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406516557 + ... + 406524044.

Almost surely, 23044024010144 is an apocalyptic number.

It is an amenable number.

3044024010144 is an abundant number, since it is smaller than the sum of its proper divisors (6278299532388).

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

3044024010144 is a wasteful number, since it uses less digits than its factorization.

3044024010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813040630 (or 813040619 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3044024010144 its reverse (4410104204403), we get a palindrome (7454128214547).

The spelling of 3044024010144 in words is "three trillion, forty-four billion, twenty-four million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 813040601 1626081202 2439121803 3252162404 4878243606 6504324808 7317365409 9756487212 10569527813 13008649616 14634730818 19512974424 21139055626 26017299232 29269461636 31708583439 39025948848 42278111252 58538923272 63417166878 78051897696 84556222504 95125750317 117077846544 126834333756 169112445008 190251500634 234155693088 253668667512 338224890016 380503001268 507337335024 761006002536 1014674670048 1522012005072 3044024010144