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1104242040144 = 243227972741633
BaseRepresentation
bin10000000100011001111…
…101000101110101010000
310220120020112012201211200
4100010121331011311100
5121042441430241034
62203140511111200
7142531101321345
oct20043175056520
93816215181750
101104242040144
113963409315a1
1215a014512500
138018b8b32b9
143b634a247cc
151dacd0d6a99
hex10119f45d50

1104242040144 has 60 divisors (see below), whose sum is σ = 3091450048596. Its totient is φ = 367948947456.

The previous prime is 1104242040119. The next prime is 1104242040151. The reversal of 1104242040144 is 4410402424011.

It is a happy number.

1104242040144 is a `hidden beast` number, since 1 + 10 + 4 + 242 + 0 + 401 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 727417940544 + 376824099600 = 852888^2 + 613860^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968049 + ... + 1773584.

Almost surely, 21104242040144 is an apocalyptic number.

It is an amenable number.

1104242040144 is an abundant number, since it is smaller than the sum of its proper divisors (1987208008452).

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

1104242040144 is a wasteful number, since it uses less digits than its factorization.

1104242040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744444 (or 2744435 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1104242040144 its reverse (4410402424011), we get a palindrome (5514644464155).

The spelling of 1104242040144 in words is "one trillion, one hundred four billion, two hundred forty-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2797 5594 8391 11188 16782 22376 25173 33564 44752 50346 67128 100692 134256 201384 402768 2741633 5483266 8224899 10966532 16449798 21933064 24674697 32899596 43866128 49349394 65799192 98698788 131598384 197397576 394795152 7668347501 15336695002 23005042503 30673390004 46010085006 61346780008 69015127509 92020170012 122693560016 138030255018 184040340024 276060510036 368080680048 552121020072 1104242040144