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1150145440 = 25522731667
BaseRepresentation
bin100010010001101…
…1101001110100000
32222011012102221021
41010203131032200
54323414123230
6310043335224
740334034463
oct10443351640
92864172837
101150145440
11540255324
12281221514
1315438a342
14aca732da
156ae8dc7a
hex448dd3a0

1150145440 has 48 divisors (see below), whose sum is σ = 2729274912. Its totient is φ = 458017024.

The previous prime is 1150145431. The next prime is 1150145459. The reversal of 1150145440 is 445410511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20487 + ... + 52153.

It is an arithmetic number, because the mean of its divisors is an integer number (56859894).

Almost surely, 21150145440 is an apocalyptic number.

1150145440 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 1150145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364637456).

1150145440 is an abundant number, since it is smaller than the sum of its proper divisors (1579129472).

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

1150145440 is a wasteful number, since it uses less digits than its factorization.

1150145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31909 (or 31901 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1150145440 is about 33913.7942436407. The cubic root of 1150145440 is about 1047.7337182573.

Adding to 1150145440 its reverse (445410511), we get a palindrome (1595555951).

The spelling of 1150145440 in words is "one billion, one hundred fifty million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 4540 7264 9080 18160 31667 36320 63334 126668 158335 253336 316670 506672 633340 1013344 1266680 2533360 5066720 7188409 14376818 28753636 35942045 57507272 71884090 115014544 143768180 230029088 287536360 575072720 1150145440