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142142208 = 2831323619
BaseRepresentation
bin10000111100011…
…10101100000000
3100220110120110020
420132032230000
5242342022313
622034333440
73344121525
oct1036165400
9326416406
10142142208
11732655aa
123b72a280
13235aa420
1414c4114c
15c72b323
hex878eb00

142142208 has 144 divisors (see below), whose sum is σ = 425806080. Its totient is φ = 41766912.

The previous prime is 142142183. The next prime is 142142227. The reversal of 142142208 is 802241241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 229323 + ... + 229941.

Almost surely, 2142142208 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 142142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

142142208 is an abundant number, since it is smaller than the sum of its proper divisors (283663872).

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

142142208 is a wasteful number, since it uses less digits than its factorization.

142142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 142142208 is about 11922.3407097768. The cubic root of 142142208 is about 521.8844447022.

Adding to 142142208 its reverse (802241241), we get a palindrome (944383449).

The spelling of 142142208 in words is "one hundred forty-two million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 619 624 736 768 832 897 1104 1196 1238 1248 1472 1664 1794 1857 2208 2392 2476 2496 2944 3328 3588 3714 4416 4784 4952 4992 5888 7176 7428 8047 8832 9568 9904 9984 14237 14352 14856 16094 17664 19136 19808 24141 28474 28704 29712 32188 38272 39616 42711 48282 56948 57408 59424 64376 76544 79232 85422 96564 113896 114816 118848 128752 158464 170844 185081 193128 227792 229632 237696 257504 341688 370162 386256 455584 475392 515008 555243 683376 740324 772512 911168 1030016 1110486 1366752 1480648 1545024 1822336 2060032 2220972 2733504 2961296 3090048 3644672 4441944 5467008 5922592 6180096 8883888 10934016 11845184 17767776 23690368 35535552 47380736 71071104 142142208