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1145125344 = 253111576907
BaseRepresentation
bin100010001000001…
…0011100111100000
32221210202101122210
41010100103213200
54321123002334
6305344002120
740243255566
oct10420234740
92853671583
101145125344
11538436690
1227b600340
1315332037c
14ac127a36
156a7eb5e9
hex444139e0

1145125344 has 96 divisors (see below), whose sum is σ = 3300587136. Its totient is φ = 344747520.

The previous prime is 1145125339. The next prime is 1145125351. The reversal of 1145125344 is 4435215411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11451253442 = 2622624106942236672, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 162339 + ... + 169245.

It is an arithmetic number, because the mean of its divisors is an integer number (34381116).

Almost surely, 21145125344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650293568).

1145125344 is an abundant number, since it is smaller than the sum of its proper divisors (2155461792).

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

1145125344 is a wasteful number, since it uses less digits than its factorization.

1145125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7080 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 1145125344 is about 33839.7007078963. The cubic root of 1145125344 is about 1046.2071301890.

The spelling of 1145125344 in words is "one billion, one hundred forty-five million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 157 176 264 314 352 471 528 628 942 1056 1256 1727 1884 2512 3454 3768 5024 5181 6907 6908 7536 10362 13814 13816 15072 20721 20724 27628 27632 41442 41448 55256 55264 75977 82884 82896 110512 151954 165768 165792 221024 227931 303908 331536 455862 607816 663072 911724 1084399 1215632 1823448 2168798 2431264 3253197 3646896 4337596 6506394 7293792 8675192 11928389 13012788 17350384 23856778 26025576 34700768 35785167 47713556 52051152 71570334 95427112 104102304 143140668 190854224 286281336 381708448 572562672 1145125344