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142240032 = 25321159761
BaseRepresentation
bin10000111101001…
…10100100100000
3100220122112122100
420132212210200
5242403140112
622040410400
73345006654
oct1036464440
9326575570
10142240032
1173322050
123b776a00
1323612acc
1414c68a64
15c74a2dc
hex87a6920

142240032 has 144 divisors (see below), whose sum is σ = 449336160. Its totient is φ = 42316800.

The previous prime is 142240009. The next prime is 142240039. The reversal of 142240032 is 230042241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1422400322 = 40464453406722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142239987 and 142240014.

It is not an unprimeable number, because it can be changed into a prime (142240039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186532 + ... + 187292.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2142240032 is an apocalyptic number.

142240032 is a gapful number since it is divisible by the number (12) 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 142240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224668080).

142240032 is an abundant number, since it is smaller than the sum of its proper divisors (307096128).

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

142240032 is a wasteful number, since it uses less digits than its factorization.

142240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142240032 is about 11926.4425542573. The cubic root of 142240032 is about 522.0041396598.

Adding to 142240032 its reverse (230042241), we get a palindrome (372282273).

The spelling of 142240032 in words is "one hundred forty-two million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 132 144 176 177 198 236 264 288 352 354 396 472 528 531 649 708 761 792 944 1056 1062 1298 1416 1522 1584 1888 1947 2124 2283 2596 2832 3044 3168 3894 4248 4566 5192 5664 5841 6088 6849 7788 8371 8496 9132 10384 11682 12176 13698 15576 16742 16992 18264 20768 23364 24352 25113 27396 31152 33484 36528 44899 46728 50226 54792 62304 66968 73056 75339 89798 93456 100452 109584 133936 134697 150678 179596 186912 200904 219168 267872 269394 301356 359192 401808 404091 493889 538788 602712 718384 803616 808182 987778 1077576 1205424 1436768 1481667 1616364 1975556 2155152 2410848 2963334 3232728 3951112 4310304 4445001 5926668 6465456 7902224 8890002 11853336 12930912 15804448 17780004 23706672 35560008 47413344 71120016 142240032