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2444100104432 = 247211327588271
BaseRepresentation
bin100011100100001111101…
…101111111000011110000
322122122122112112122101002
4203210033231333003300
5310021004111320212
65110445403301132
7341403036052100
oct43441755770360
98578575478332
102444100104432
1186259a878388
1233582421a7a8
1314962952585c
148641b991200
154389b308ac2
hex2390fb7f0f0

2444100104432 has 60 divisors (see below), whose sum is σ = 5557326335136. Its totient is φ = 1038201776640.

The previous prime is 2444100104431. The next prime is 2444100104491. The reversal of 2444100104432 is 2344010014442.

It is a junction number, because it is equal to n+sod(n) for n = 2444100104395 and 2444100104404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444100104431) 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 11 ways as a sum of consecutive naturals, for example, 13705544 + ... + 13882727.

Almost surely, 22444100104432 is an apocalyptic number.

It is an amenable number.

2444100104432 is an abundant number, since it is smaller than the sum of its proper divisors (3113226230704).

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

2444100104432 is a wasteful number, since it uses less digits than its factorization.

2444100104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27588406 (or 27588393 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2444100104432 its reverse (2344010014442), we get a palindrome (4788110118874).

It can be divided in two parts, 244410010 and 4432, that added together give a palindrome (244414442).

The spelling of 2444100104432 in words is "two trillion, four hundred forty-four billion, one hundred million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 392 452 784 791 904 1582 1808 3164 5537 6328 11074 12656 22148 44296 88592 27588271 55176542 110353084 193117897 220706168 386235794 441412336 772471588 1351825279 1544943176 2703650558 3089886352 3117474623 5407301116 6234949246 10814602232 12469898492 21629204464 21822322361 24939796984 43644644722 49879593968 87289289444 152756256527 174578578888 305512513054 349157157776 611025026108 1222050052216 2444100104432