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142053708384000 = 283253770463149
BaseRepresentation
bin100000010011001001110100…
…110100111100011100000000
3200121222012110011212222200200
4200103021310310330130000
5122104401443321242000
61222042323413045200
741631020214363060
oct4023116464743400
9617865404788620
10142053708384000
1141298704060946
1213b22b63626800
1361357b80b253a
142711616bd13a0
1511652226ce500
hex813274d3c700

142053708384000 has 432 divisors, whose sum is σ = 584172208401600. Its totient is φ = 32469418598400.

The previous prime is 142053708383987. The next prime is 142053708384019. The reversal of 142053708384000 is 483807350241.

142053708384000 is a `hidden beast` number, since 1 + 4 + 205 + 3 + 7 + 0 + 8 + 38 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33215575 + ... + 37247574.

Almost surely, 2142053708384000 is an apocalyptic number.

142053708384000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142053708384000 is an abundant number, since it is smaller than the sum of its proper divisors (442118500017600).

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

142053708384000 is an equidigital number, since it uses as much as digits as its factorization.

142053708384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70463193 (or 70463166 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 142053708384000 in words is "one hundred forty-two trillion, fifty-three billion, seven hundred eight million, three hundred eighty-four thousand".