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1144104234000 = 243537213467641
BaseRepresentation
bin10000101001100001111…
…011010010110000010000
311001101010120221222211220
4100221201323102300100
5122221111140442000
62233332204205040
7145441653350100
oct20514173226020
94041116858756
101144104234000
11401237016862
1216589a239780
1383b72245c60
143d536b9d200
151eb6294c1a0
hex10a61ed2c10

1144104234000 has 960 divisors, whose sum is σ = 4637992649472. Its totient is φ = 240500736000.

The previous prime is 1144104233977. The next prime is 1144104234001. The reversal of 1144104234000 is 4324014411.

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

It is not an unprimeable number, because it can be changed into a prime (1144104234001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1784873680 + ... + 1784874320.

Almost surely, 21144104234000 is an apocalyptic number.

1144104234000 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 1144104234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318996324736).

1144104234000 is an abundant number, since it is smaller than the sum of its proper divisors (3493888415472).

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

1144104234000 is a wasteful number, since it uses less digits than its factorization.

1144104234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144104234000 its reverse (4324014411), we get a palindrome (1148428248411).

The spelling of 1144104234000 in words is "one trillion, one hundred forty-four billion, one hundred four million, two hundred thirty-four thousand".