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142717207776 = 253112133143709
BaseRepresentation
bin1000010011101010011…
…0111100010011100000
3111122101012121100002020
42010322212330103200
54314241101122101
6145321405021440
713211444151603
oct2047246742340
9448335540066
10142717207776
1155587163600
12237ab854880
13105c57c1c50
146c9c46033a
153aa4555136
hex213a9bc4e0

142717207776 has 576 divisors, whose sum is σ = 469073848320. Its totient is φ = 37681459200.

The previous prime is 142717207771. The next prime is 142717207799. The reversal of 142717207776 is 677702717241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142717207771) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 201293310 + ... + 201294018.

It is an arithmetic number, because the mean of its divisors is an integer number (814364320).

Almost surely, 2142717207776 is an apocalyptic number.

142717207776 is a gapful number since it is divisible by the number (16) 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 142717207776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234536924160).

142717207776 is an abundant number, since it is smaller than the sum of its proper divisors (326356640544).

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

142717207776 is a wasteful number, since it uses less digits than its factorization.

142717207776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 51.

The spelling of 142717207776 in words is "one hundred forty-two billion, seven hundred seventeen million, two hundred seven thousand, seven hundred seventy-six".