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140142384 = 24322937907
BaseRepresentation
bin10000101101001…
…10011100110000
3100202200222012200
420112212130300
5241334024014
621523423200
73321122244
oct1026463460
9322628180
10140142384
117211a058
123ab24b00
132305a0b5
1414880424
15c483a09
hex85a6730

140142384 has 120 divisors (see below), whose sum is σ = 417153360. Its totient is φ = 43835904.

The previous prime is 140142377. The next prime is 140142403. The reversal of 140142384 is 483241041.

140142384 is a `hidden beast` number, since 140 + 142 + 384 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154059 + ... + 154965.

It is an arithmetic number, because the mean of its divisors is an integer number (3476278).

Almost surely, 2140142384 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 140142384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208576680).

140142384 is an abundant number, since it is smaller than the sum of its proper divisors (277010976).

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

140142384 is a wasteful number, since it uses less digits than its factorization.

140142384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140142384 is about 11838.1748593269. The cubic root of 140142384 is about 519.4253810381.

The spelling of 140142384 in words is "one hundred forty million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 696 888 907 1044 1073 1332 1392 1776 1814 2088 2146 2664 2721 3219 3628 4176 4292 5328 5442 6438 7256 8163 8584 9657 10884 12876 14512 16326 17168 19314 21768 25752 26303 32652 33559 38628 43536 51504 52606 65304 67118 77256 78909 100677 105212 130608 134236 154512 157818 201354 210424 236727 268472 302031 315636 402708 420848 473454 536944 604062 631272 805416 946908 973211 1208124 1262544 1610832 1893816 1946422 2416248 2919633 3787632 3892844 4832496 5839266 7785688 8758899 11678532 15571376 17517798 23357064 35035596 46714128 70071192 140142384