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142801304184 = 23357112833371
BaseRepresentation
bin1000010011111110011…
…1101111101001111000
3111122121001211212200000
42010333213233221320
54314424113213214
6145334011313000
713213515025620
oct2047747575170
9448531755600
10142801304184
115561a682470
1223813a4b760
131060a057a36
146ca96b1880
153aabb17809
hex213f9efa78

142801304184 has 384 divisors, whose sum is σ = 501960775680. Its totient is φ = 36949219200.

The previous prime is 142801304161. The next prime is 142801304263. The reversal of 142801304184 is 481403108241.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42360019 + ... + 42363389.

It is an arithmetic number, because the mean of its divisors is an integer number (1307189520).

Almost surely, 2142801304184 is an apocalyptic number.

142801304184 is a gapful number since it is divisible by the number (14) 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 142801304184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250980387840).

142801304184 is an abundant number, since it is smaller than the sum of its proper divisors (359159471496).

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

142801304184 is a wasteful number, since it uses less digits than its factorization.

142801304184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

It can be divided in two parts, 142801 and 304184, that added together give a triangular number (446985 = T945).

The spelling of 142801304184 in words is "one hundred forty-two billion, eight hundred one million, three hundred four thousand, one hundred eighty-four".