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2144984429088 = 25364322232
BaseRepresentation
bin11111001101101011000…
…010001111001000100000
321121001120122121222000000
4133031223002033020200
5240120412003212323
64321220420300000
7310653466550424
oct37155302171040
97531518558000
102144984429088
11757756877306
122a7866b41600
1312736a992797
1475b64088b84
153abe15cbe43
hex1f36b08f220

2144984429088 has 378 divisors, whose sum is σ = 6511377895911. Its totient is φ = 695235332736.

The previous prime is 2144984429047. The next prime is 2144984429117. The reversal of 2144984429088 is 8809244894412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2144984429088 is a `hidden beast` number, since 2 + 1 + 4 + 498 + 44 + 29 + 0 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1072492214544 + 1072492214544 = 1035612^2 + 1035612^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1035612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9618764145 + ... + 9618764367.

Almost surely, 22144984429088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144984429088

2144984429088 is an abundant number, since it is smaller than the sum of its proper divisors (4366393466823).

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

2144984429088 is an frugal number, since it uses more digits than its factorization.

2144984429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2144984429088 in words is "two trillion, one hundred forty-four billion, nine hundred eighty-four million, four hundred twenty-nine thousand, eighty-eight".