Search a number
-
+
1142418000 = 24353190403
BaseRepresentation
bin100010000010111…
…1110101001010000
32221121122211212210
41010011332221100
54314424334000
6305205552120
740211251503
oct10405765120
92847584783
101142418000
11536957609
1227a715640
131528b2ca9
14aba2113a
156a464350
hex4417ea50

1142418000 has 80 divisors (see below), whose sum is σ = 3683174976. Its totient is φ = 304643200.

The previous prime is 1142417999. The next prime is 1142418007. The reversal of 1142418000 is 8142411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142418007) 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 15 ways as a sum of consecutive naturals, for example, 89202 + ... + 101201.

Almost surely, 21142418000 is an apocalyptic number.

1142418000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142418000 is an abundant number, since it is smaller than the sum of its proper divisors (2540756976).

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

1142418000 is a wasteful number, since it uses less digits than its factorization.

1142418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190429 (or 190413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1142418000 is about 33799.6745546462. The cubic root of 1142418000 is about 1045.3819868300.

The spelling of 1142418000 in words is "one billion, one hundred forty-two million, four hundred eighteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 190403 380806 571209 761612 952015 1142418 1523224 1904030 2284836 2856045 3046448 3808060 4569672 4760075 5712090 7616120 9139344 9520150 11424180 14280225 15232240 19040300 22848360 23800375 28560450 38080600 45696720 47600750 57120900 71401125 76161200 95201500 114241800 142802250 190403000 228483600 285604500 380806000 571209000 1142418000