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1144412203000 = 235311591978951
BaseRepresentation
bin10000101001110100010…
…010000110011111111000
311001101221001110102220011
4100221310102012133320
5122222224010444000
62233422525111304
7145452413136643
oct20516422063770
94041831412804
101144412203000
114013849434a0
121659653b8534
1383bc0ca4031
143d565a48a5a
151eb7e9d22ba
hex10a744867f8

1144412203000 has 256 divisors, whose sum is σ = 2986301260800. Its totient is φ = 406974400000.

The previous prime is 1144412202979. The next prime is 1144412203003. The reversal of 1144412203000 is 3022144411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144412203003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 127848525 + ... + 127857475.

It is an arithmetic number, because the mean of its divisors is an integer number (11665239300).

Almost surely, 21144412203000 is an apocalyptic number.

1144412203000 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 1144412203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493150630400).

1144412203000 is an abundant number, since it is smaller than the sum of its proper divisors (1841889057800).

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

1144412203000 is a wasteful number, since it uses less digits than its factorization.

1144412203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1144412203000 its reverse (3022144411), we get a palindrome (1147434347411).

The spelling of 1144412203000 in words is "one trillion, one hundred forty-four billion, four hundred twelve million, two hundred three thousand".