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1144132113300 = 2235211241768751
BaseRepresentation
bin10000101001100011100…
…101101001001110010100
311001101012112102102001120
4100221203211221032110
5122221140310111200
62233335041523540
7145442442333621
oct20514345511624
94041175372046
101144132113300
11401250828a00
121658a76435b0
1383b77c57897
143d53a779348
151eb651079a0
hex10a63969394

1144132113300 has 216 divisors, whose sum is σ = 3727407847296. Its totient is φ = 270600000000.

The previous prime is 1144132113283. The next prime is 1144132113301. The reversal of 1144132113300 is 33112314411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144132113301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1103925 + ... + 1872675.

Almost surely, 21144132113300 is an apocalyptic number.

1144132113300 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 1144132113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863703923648).

1144132113300 is an abundant number, since it is smaller than the sum of its proper divisors (2583275733996).

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

1144132113300 is a wasteful number, since it uses less digits than its factorization.

1144132113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768831 (or 768813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1144132113300 its reverse (33112314411), we get a palindrome (1177244427711).

The spelling of 1144132113300 in words is "one trillion, one hundred forty-four billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred".