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142140096 = 263473917
BaseRepresentation
bin10000111100011…
…10001011000000
3100220110110120000
420132032023000
5242341440341
622034320000
73344112420
oct1036161300
9326413500
10142140096
1173263a5a
123b729000
13235a9487
1414c40480
15c72a8b6
hex878e2c0

142140096 has 140 divisors (see below), whose sum is σ = 481663248. Its totient is φ = 40601088.

The previous prime is 142140091. The next prime is 142140127. The reversal of 142140096 is 690041241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142140091) 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 19 ways as a sum of consecutive naturals, for example, 34330 + ... + 38246.

Almost surely, 2142140096 is an apocalyptic number.

142140096 is a gapful number since it is divisible by the number (16) 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 142140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240831624).

142140096 is an abundant number, since it is smaller than the sum of its proper divisors (339523152).

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

142140096 is an equidigital number, since it uses as much as digits as its factorization.

142140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142140096 is about 11922.2521362367. The cubic root of 142140096 is about 521.8818599072.

The spelling of 142140096 in words is "one hundred forty-two million, one hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3917 4032 4536 5184 6048 7834 9072 11751 12096 15668 18144 23502 27419 31336 35253 36288 47004 54838 62672 70506 82257 94008 105759 109676 125344 141012 164514 188016 211518 219352 246771 250688 282024 317277 329028 376032 423036 438704 493542 564048 634554 658056 740313 752064 846072 877408 987084 1128096 1269108 1316112 1480626 1692144 1754816 1974168 2220939 2256192 2538216 2632224 2961252 3384288 3948336 4441878 5076432 5264448 5922504 6768576 7896672 8883756 10152864 11845008 15793344 17767512 20305728 23690016 35535024 47380032 71070048 142140096