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1104244000224 = 25327367420307
BaseRepresentation
bin10000000100011010000…
…100100100010111100000
310220120020122220022120020
4100010122010210113200
5121042442431001344
62203141021113440
7142531124064021
oct20043204442740
93816218808506
101104244000224
11396341a501a2
1215a0150b8880
138018c11b501
143b634db4c48
151dacd372719
hex1011a1245e0

1104244000224 has 48 divisors (see below), whose sum is σ = 2898753314688. Its totient is φ = 368067007872.

The previous prime is 1104244000217. The next prime is 1104244000241. The reversal of 1104244000224 is 4220004424011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1104244000194 and 1104244000203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2417079 + ... + 2837385.

It is an arithmetic number, because the mean of its divisors is an integer number (60390694056).

Almost surely, 21104244000224 is an apocalyptic number.

It is an amenable number.

1104244000224 is an abundant number, since it is smaller than the sum of its proper divisors (1794509314464).

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

1104244000224 is a wasteful number, since it uses less digits than its factorization.

1104244000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447687 (or 447679 counting only the distinct ones).

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

Adding to 1104244000224 its reverse (4220004424011), we get a palindrome (5324248424235).

The spelling of 1104244000224 in words is "one trillion, one hundred four billion, two hundred forty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27367 54734 82101 109468 164202 218936 328404 420307 437872 656808 840614 875744 1260921 1313616 1681228 2521842 2627232 3362456 5043684 6724912 10087368 13449824 20174736 40349472 11502541669 23005083338 34507625007 46010166676 69015250014 92020333352 138030500028 184040666704 276061000056 368081333408 552122000112 1104244000224