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142192128 = 293137121
BaseRepresentation
bin10000111100110…
…10111000000000
3100220120002221010
420132122320000
5242400122003
622035400520
73344420211
oct1036327000
9326502833
10142192128
117329a061
123b753140
13235c7070
1414c55408
15c73b003
hex879ae00

142192128 has 80 divisors (see below), whose sum is σ = 408005136. Its totient is φ = 43745280.

The previous prime is 142192117. The next prime is 142192129. The reversal of 142192128 is 821291241.

It is a happy number.

It is a super-3 number, since 3×1421921283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142192095 and 142192104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142192129) 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 7 ways as a sum of consecutive naturals, for example, 16408 + ... + 23528.

Almost surely, 2142192128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204002568).

142192128 is an abundant number, since it is smaller than the sum of its proper divisors (265813008).

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

142192128 is an equidigital number, since it uses as much as digits as its factorization.

142192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7139 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 142192128 is about 11924.4340746217. The cubic root of 142192128 is about 521.9455324035.

The spelling of 142192128 in words is "one hundred forty-two million, one hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 7121 9984 14242 19968 21363 28484 42726 56968 85452 92573 113936 170904 185146 227872 277719 341808 370292 455744 555438 683616 740584 911488 1110876 1367232 1481168 1822976 2221752 2734464 2962336 3645952 4443504 5468928 5924672 8887008 10937856 11849344 17774016 23698688 35548032 47397376 71096064 142192128