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142668829296 = 24327141536537
BaseRepresentation
bin1000010011011110111…
…0011001001001110000
3111122020211120110021200
42010313232121021300
54314141210014141
6145312520051200
713210316016510
oct2046756311160
9448224513250
10142668829296
1155561920094
1223797603b00
13105b8783926
146c95c69840
153aa019aab6
hex2137b99270

142668829296 has 60 divisors (see below), whose sum is σ = 456313798512. Its totient is φ = 40762522368.

The previous prime is 142668829291. The next prime is 142668829321. The reversal of 142668829296 is 692928866241.

142668829296 is a `hidden beast` number, since 1 + 4 + 266 + 8 + 82 + 9 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142668829291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70767261 + ... + 70769276.

Almost surely, 2142668829296 is an apocalyptic number.

142668829296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142668829296 is an abundant number, since it is smaller than the sum of its proper divisors (313644969216).

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

142668829296 is a wasteful number, since it uses less digits than its factorization.

142668829296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141536558 (or 141536549 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 142668829296 in words is "one hundred forty-two billion, six hundred sixty-eight million, eight hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 141536537 283073074 424609611 566146148 849219222 990755759 1132292296 1273828833 1698438444 1981511518 2264584592 2547657666 2972267277 3396876888 3963023036 5095315332 5944534554 6793753776 7926046072 8916801831 10190630664 11889069108 15852092144 17833603662 20381261328 23778138216 35667207324 47556276432 71334414648 142668829296