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1142138304 = 26321982879
BaseRepresentation
bin100010000010011…
…1010010111000000
32221121010122012200
41010010322113000
54314341411204
6305155553200
740206005166
oct10404722700
92847118180
101142138304
1153678645a
1227a5bb800
131528158a8
14ab98b236
156a40b539
hex4413a5c0

1142138304 has 42 divisors (see below), whose sum is σ = 3273734880. Its totient is φ = 380712576.

The previous prime is 1142138281. The next prime is 1142138323. The reversal of 1142138304 is 4038312411.

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 5 ways as a sum of consecutive naturals, for example, 990864 + ... + 992015.

Almost surely, 21142138304 is an apocalyptic number.

It is an amenable number.

1142138304 is an abundant number, since it is smaller than the sum of its proper divisors (2131596576).

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

1142138304 is a wasteful number, since it uses less digits than its factorization.

1142138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982897 (or 1982884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1142138304 is about 33795.5367467362. The cubic root of 1142138304 is about 1045.2966669135.

The spelling of 1142138304 in words is "one billion, one hundred forty-two million, one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1982879 3965758 5948637 7931516 11897274 15863032 17845911 23794548 31726064 35691822 47589096 63452128 71383644 95178192 126904256 142767288 190356384 285534576 380712768 571069152 1142138304