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1145143032 = 233112834751
BaseRepresentation
bin100010001000001…
…0111111011111000
32221210210021220220
41010100113323320
54321124034112
6305344220040
740243361265
oct10420277370
92853707826
101145143032
11538448a00
1227b60a620
13153328437
14ac13026c
156a80198c
hex44417ef8

1145143032 has 96 divisors (see below), whose sum is σ = 3185360640. Its totient is φ = 342760000.

The previous prime is 1145143009. The next prime is 1145143033. The reversal of 1145143032 is 2303415411.

It is a happy number.

It is a super-2 number, since 2×11451430322 = 2622705127476306048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1145142993 and 1145143011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145143033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238657 + ... + 243407.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 21145143032 is an apocalyptic number.

1145143032 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 1145143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592680320).

1145143032 is an abundant number, since it is smaller than the sum of its proper divisors (2040217608).

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

1145143032 is a wasteful number, since it uses less digits than its factorization.

1145143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1145143032 is about 33839.9620567163. The cubic root of 1145143032 is about 1046.2125168531.

Adding to 1145143032 its reverse (2303415411), we get a palindrome (3448558443).

The spelling of 1145143032 in words is "one billion, one hundred forty-five million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 121 132 166 242 249 264 332 363 484 498 664 726 913 968 996 1452 1826 1992 2739 2904 3652 4751 5478 7304 9502 10043 10956 14253 19004 20086 21912 28506 30129 38008 40172 52261 57012 60258 80344 104522 114024 120516 156783 209044 241032 313566 394333 418088 574871 627132 788666 1149742 1182999 1254264 1577332 1724613 2299484 2365998 3154664 3449226 4337663 4598968 4731996 6898452 8675326 9463992 13012989 13796904 17350652 26025978 34701304 47714293 52051956 95428586 104103912 143142879 190857172 286285758 381714344 572571516 1145143032