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142144380 = 223257373049
BaseRepresentation
bin10000111100011…
…11001101111100
3100220110200102200
420132033031330
5242342110010
622034351500
73344131050
oct1036171574
9326420380
10142144380
11732671a4
123b72b590
13235ab401
1414c41c60
15c72bcc0
hex878f37c

142144380 has 144 divisors (see below), whose sum is σ = 506251200. Its totient is φ = 31601664.

The previous prime is 142144367. The next prime is 142144381. The reversal of 142144380 is 83441241.

142144380 is a `hidden beast` number, since 14 + 214 + 438 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142144381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45096 + ... + 48144.

Almost surely, 2142144380 is an apocalyptic number.

142144380 is a gapful number since it is divisible by the number (10) 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 142144380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253125600).

142144380 is an abundant number, since it is smaller than the sum of its proper divisors (364106820).

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

142144380 is a wasteful number, since it uses less digits than its factorization.

142144380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3103 counting only the distinct ones).

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

The square root of 142144380 is about 11922.4317989242. The cubic root of 142144380 is about 521.8871029022.

The spelling of 142144380 in words is "one hundred forty-two million, one hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3049 3108 3330 3885 4662 5180 6098 6660 7770 9147 9324 11655 12196 15245 15540 18294 21343 23310 27441 30490 36588 42686 45735 46620 54882 60980 64029 85372 91470 106715 109764 112813 128058 137205 182940 192087 213430 225626 256116 274410 320145 338439 384174 426860 451252 548820 564065 640290 676878 768348 789691 960435 1015317 1128130 1280580 1353756 1579382 1692195 1920870 2030634 2256260 2369073 3158764 3384390 3841740 3948455 4061268 4738146 5076585 6768780 7107219 7896910 9476292 10153170 11845365 14214438 15793820 20306340 23690730 28428876 35536095 47381460 71072190 142144380