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1142243120 = 24588716097
BaseRepresentation
bin100010000010101…
…0011111100110000
32221121022221222202
41010011103330300
54314403234440
6305202122332
740206622604
oct10405237460
92847287882
101142243120
11536848187
1227a6503a8
13152851505
14ab9b7504
156a42c615
hex44153f30

1142243120 has 40 divisors (see below), whose sum is σ = 2658874464. Its totient is φ = 456353792.

The previous prime is 1142243119. The next prime is 1142243129. The reversal of 1142243120 is 213422411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1142243092 and 1142243101.

It is not an unprimeable number, because it can be changed into a prime (1142243129) by changing a digit.

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, 62912 + ... + 79008.

Almost surely, 21142243120 is an apocalyptic number.

1142243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142243120 is an abundant number, since it is smaller than the sum of its proper divisors (1516631344).

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

1142243120 is a wasteful number, since it uses less digits than its factorization.

1142243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16997 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142243120 is about 33797.0874484770. The cubic root of 1142243120 is about 1045.3286421607.

Adding to 1142243120 its reverse (213422411), we get a palindrome (1355665531).

The spelling of 1142243120 in words is "one billion, one hundred forty-two million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 887 1774 3548 4435 7096 8870 14192 16097 17740 32194 35480 64388 70960 80485 128776 160970 257552 321940 643880 1287760 14278039 28556078 57112156 71390195 114224312 142780390 228448624 285560780 571121560 1142243120