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1144333152 = 253222917351
BaseRepresentation
bin100010000110101…
…0010001101100000
32221202021010222100
41010031102031200
54320422130102
6305315010400
740233446154
oct10415221540
92852233870
101144333152
11537a45486
1227b299a00
13153103911
14abd9d064
156a6e1a1c
hex44352360

1144333152 has 72 divisors (see below), whose sum is σ = 3268596240. Its totient is φ = 379756800.

The previous prime is 1144333147. The next prime is 1144333213. The reversal of 1144333152 is 2513334411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57277 + ... + 74627.

It is an arithmetic number, because the mean of its divisors is an integer number (45397170).

Almost surely, 21144333152 is an apocalyptic number.

1144333152 is a gapful number since it is divisible by the number (12) 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 1144333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634298120).

1144333152 is an abundant number, since it is smaller than the sum of its proper divisors (2124263088).

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

1144333152 is a wasteful number, since it uses less digits than its factorization.

1144333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17596 (or 17585 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1144333152 is about 33827.9936147564. The cubic root of 1144333152 is about 1045.9658209106.

Adding to 1144333152 its reverse (2513334411), we get a palindrome (3657667563).

The spelling of 1144333152 in words is "one billion, one hundred forty-four million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 17351 21984 32976 34702 52053 65952 69404 104106 138808 156159 208212 277616 312318 416424 555232 624636 832848 1249272 1665696 2498544 3973379 4997088 7946758 11920137 15893516 23840274 31787032 35760411 47680548 63574064 71520822 95361096 127148128 143041644 190722192 286083288 381444384 572166576 1144333152