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142132044312 = 233226349115287
BaseRepresentation
bin1000010001011110111…
…0101110001000011000
3111120212102111221201100
42010113232232020120
54312041300404222
6145143342551400
713161110304636
oct2042756561030
9446772457640
10142132044312
1155306919635
1223667898560
13105314bc48b
146c4485a356
153a6ceb84ac
hex2117bae218

142132044312 has 96 divisors (see below), whose sum is σ = 387216910080. Its totient is φ = 47098000320.

The previous prime is 142132044283. The next prime is 142132044349. The reversal of 142132044312 is 213440231241.

142132044312 is a `hidden beast` number, since 1 + 4 + 21 + 3 + 204 + 431 + 2 = 666.

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, 9289933 + ... + 9305219.

It is an arithmetic number, because the mean of its divisors is an integer number (4033509480).

Almost surely, 2142132044312 is an apocalyptic number.

142132044312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142132044312 is an abundant number, since it is smaller than the sum of its proper divisors (245084865768).

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

142132044312 is a wasteful number, since it uses less digits than its factorization.

142132044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16053 (or 16046 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142132044312 its reverse (213440231241), we get a palindrome (355572275553).

The spelling of 142132044312 in words is "one hundred forty-two billion, one hundred thirty-two million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 491 526 789 982 1052 1473 1578 1964 2104 2367 2946 3156 3928 4419 4734 5892 6312 8838 9468 11784 15287 17676 18936 30574 35352 45861 61148 91722 122296 129133 137583 183444 258266 275166 366888 387399 516532 550332 774798 1033064 1100664 1162197 1549596 2324394 3099192 4020481 4648788 7505917 8040962 9297576 12061443 15011834 16081924 22517751 24122886 30023668 32163848 36184329 45035502 48245772 60047336 67553253 72368658 90071004 96491544 135106506 144737316 180142008 270213012 289474632 540426024 1974056171 3948112342 5922168513 7896224684 11844337026 15792449368 17766505539 23688674052 35533011078 47377348104 71066022156 142132044312