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142604305452 = 2232721711342083
BaseRepresentation
bin1000010011001111100…
…0010000010000101100
3111122002100011022012200
42010303320100100230
54314023200233302
6145302253101500
713205603411400
oct2046370202054
9448070138180
10142604305452
115552945a3a4
1223779a87890
13105a82b183b
146c8b471100
153a996a281c
hex2133e1042c

142604305452 has 216 divisors, whose sum is σ = 447930480816. Its totient is φ = 38007115776.

The previous prime is 142604305427. The next prime is 142604305453. The reversal of 142604305452 is 254503406241.

142604305452 is a `hidden beast` number, since 1 + 4 + 2 + 604 + 3 + 0 + 5 + 45 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142604305453) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3367603 + ... + 3409685.

It is an arithmetic number, because the mean of its divisors is an integer number (2073752226).

Almost surely, 2142604305452 is an apocalyptic number.

142604305452 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 142604305452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223965240408).

142604305452 is an abundant number, since it is smaller than the sum of its proper divisors (305326175364).

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

142604305452 is a wasteful number, since it uses less digits than its factorization.

142604305452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42237 (or 42225 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 142604305452 in words is "one hundred forty-two billion, six hundred four million, three hundred five thousand, four hundred fifty-two".