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1142124240 = 243519972383
BaseRepresentation
bin100010000010011…
…0110111011010000
32221121002220220210
41010010312323100
54314340433430
6305155404120
740205616165
oct10404667320
92847086823
101142124240
11536776934
1227a5b3640
1315280c37a
14ab98606c
156a4072b0
hex44136ed0

1142124240 has 80 divisors (see below), whose sum is σ = 3543844608. Its totient is φ = 304286208.

The previous prime is 1142124229. The next prime is 1142124241. The reversal of 1142124240 is 424212411.

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 (1142124241) 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, 478089 + ... + 480471.

Almost surely, 21142124240 is an apocalyptic number.

1142124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142124240 is an abundant number, since it is smaller than the sum of its proper divisors (2401720368).

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

1142124240 is a wasteful number, since it uses less digits than its factorization.

1142124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1142124240 is about 33795.3286712824. The cubic root of 1142124240 is about 1045.2923763903.

Adding to 1142124240 its reverse (424212411), we get a palindrome (1566336651).

The spelling of 1142124240 in words is "one billion, one hundred forty-two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1997 2383 3994 4766 5991 7149 7988 9532 9985 11915 11982 14298 15976 19064 19970 23830 23964 28596 29955 31952 35745 38128 39940 47660 47928 57192 59910 71490 79880 95320 95856 114384 119820 142980 159760 190640 239640 285960 479280 571920 4758851 9517702 14276553 19035404 23794255 28553106 38070808 47588510 57106212 71382765 76141616 95177020 114212424 142765530 190354040 228424848 285531060 380708080 571062120 1142124240