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142296187392 = 293255572
BaseRepresentation
bin1000010010000110000…
…0111000001000000000
3111121021212101021200200
42010201200320020000
54312410310444032
6145211525045200
713165142431122
oct2044140701000
9447255337620
10142296187392
1155390540777
12236b2856800
1310559500968
146c5c587212
153a7c5dd47c
hex2121838200

142296187392 has 90 divisors (see below), whose sum is σ = 410750347293. Its totient is φ = 47423526912.

The previous prime is 142296187379. The next prime is 142296187403. The reversal of 142296187392 is 293781692241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142296187392 is a `hidden beast` number, since 1 + 422 + 9 + 6 + 187 + 39 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104261826816 + 38034360576 = 322896^2 + 195024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25603878 + ... + 25609434.

Almost surely, 2142296187392 is an apocalyptic number.

142296187392 is a gapful number since it is divisible by the number (12) 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 142296187392

142296187392 is an abundant number, since it is smaller than the sum of its proper divisors (268454159901).

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

142296187392 is an frugal number, since it uses more digits than its factorization.

142296187392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 5562 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 142296187392 in words is "one hundred forty-two billion, two hundred ninety-six million, one hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5557 11114 16671 22228 33342 44456 50013 66684 88912 100026 133368 177824 200052 266736 355648 400104 533472 711296 800208 1066944 1422592 1600416 2133888 2845184 3200832 4267776 6401664 8535552 12803328 25606656 30880249 61760498 92640747 123520996 185281494 247041992 277922241 370562988 494083984 555844482 741125976 988167968 1111688964 1482251952 1976335936 2223377928 2964503904 3952671872 4446755856 5929007808 7905343744 8893511712 11858015616 15810687488 17787023424 23716031232 35574046848 47432062464 71148093696 142296187392