Search a number
-
+
142038189792 = 2533164396053
BaseRepresentation
bin1000010001001000100…
…0101100011011100000
3111120121212220122112000
42010102020230123200
54311343234033132
6145130151204000
713155560456412
oct2042210543340
9446555818460
10142038189792
1155268945314
1223640376600
1310517c1ac65
146c361c89b2
153a64b2987c
hex211222c6e0

142038189792 has 48 divisors (see below), whose sum is σ = 414278056080. Its totient is φ = 47346062976.

The previous prime is 142038189779. The next prime is 142038189823. The reversal of 142038189792 is 297981830241.

142038189792 is a `hidden beast` number, since 1 + 420 + 38 + 18 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82197163 + ... + 82198890.

It is an arithmetic number, because the mean of its divisors is an integer number (8630792835).

Almost surely, 2142038189792 is an apocalyptic number.

142038189792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142038189792 is an abundant number, since it is smaller than the sum of its proper divisors (272239866288).

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

142038189792 is a wasteful number, since it uses less digits than its factorization.

142038189792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164396072 (or 164396058 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 142038189792 in words is "one hundred forty-two billion, thirty-eight million, one hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 164396053 328792106 493188159 657584212 986376318 1315168424 1479564477 1972752636 2630336848 2959128954 3945505272 4438693431 5260673696 5918257908 7891010544 8877386862 11836515816 15782021088 17754773724 23673031632 35509547448 47346063264 71019094896 142038189792