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142085318040 = 233251619243781
BaseRepresentation
bin1000010001010011110…
…0011110010110011000
3111120202011121000022200
42010110330132112120
54311442320134130
6145134553250200
713160002163511
oct2042474362630
9446664530280
10142085318040
1155292504486
1223654103960
131052490c1b3
146c3c575a08
153a68d38760
hex2114f1e598

142085318040 has 96 divisors (see below), whose sum is σ = 462064402800. Its totient is φ = 37865859840.

The previous prime is 142085318033. The next prime is 142085318051. The reversal of 142085318040 is 40813580241.

142085318040 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 8 + 531 + 80 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142085317986 and 142085318004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460950 + ... + 704730.

Almost surely, 2142085318040 is an apocalyptic number.

142085318040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142085318040 is an abundant number, since it is smaller than the sum of its proper divisors (319979084760).

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

142085318040 is a wasteful number, since it uses less digits than its factorization.

142085318040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245417 (or 245410 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 142085318040 its reverse (40813580241), we get a palindrome (182898898281).

The spelling of 142085318040 in words is "one hundred forty-two billion, eighty-five million, three hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1619 3238 4857 6476 8095 9714 12952 14571 16190 19428 24285 29142 32380 38856 48570 58284 64760 72855 97140 116568 145710 194280 243781 291420 487562 582840 731343 975124 1218905 1462686 1950248 2194029 2437810 2925372 3656715 4388058 4875620 5850744 7313430 8776116 9751240 10970145 14626860 17552232 21940290 29253720 43880580 87761160 394681439 789362878 1184044317 1578725756 1973407195 2368088634 3157451512 3552132951 3946814390 4736177268 5920221585 7104265902 7893628780 9472354536 11840443170 14208531804 15787257560 17760664755 23680886340 28417063608 35521329510 47361772680 71042659020 142085318040