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11444160000 = 29354713131
BaseRepresentation
bin10101010100010000…
…00000011000000000
31002112120012120012210
422222020000120000
5141414201110000
65131332022120
7553411516650
oct125210003000
932476176183
1011444160000
114942a25879
122274761940
131104c5b110
147a7c8c360
1546ea77350
hex2aa200600

11444160000 has 800 divisors, whose sum is σ = 47247475968. Its totient is φ = 2396160000.

The previous prime is 11444159983. The next prime is 11444160001. The reversal of 11444160000 is 6144411.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87359935 + ... + 87360065.

Almost surely, 211444160000 is an apocalyptic number.

11444160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623737984).

11444160000 is an abundant number, since it is smaller than the sum of its proper divisors (35803315968).

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

11444160000 is an equidigital number, since it uses as much as digits as its factorization.

11444160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 11444160000 in words is "eleven billion, four hundred forty-four million, one hundred sixty thousand".