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142112730705792 = 27371119454755633
BaseRepresentation
bin100000010100000000110010…
…110101001110111110000000
3200122011211210112210121001220
4200110000302311032332000
5122111333333030041132
61222125404234155040
741635206643006020
oct4024006265167600
9618154715717056
10142112730705792
1141310741680890
1213b32495b82a80
13613b2331196c2
1427144158a7a80
151166a291aea2c
hex814032d4ef80

142112730705792 has 512 divisors, whose sum is σ = 495521089228800. Its totient is φ = 34961320673280.

The previous prime is 142112730705779. The next prime is 142112730705797. The reversal of 142112730705792 is 297507037211241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142112730705797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2554440408 + ... + 2554496040.

It is an arithmetic number, because the mean of its divisors is an integer number (967814627400).

Almost surely, 2142112730705792 is an apocalyptic number.

142112730705792 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 142112730705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247760544614400).

142112730705792 is an abundant number, since it is smaller than the sum of its proper divisors (353408358523008).

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

142112730705792 is a wasteful number, since it uses less digits than its factorization.

142112730705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60234 (or 60222 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 142112730705792 in words is "one hundred forty-two trillion, one hundred twelve billion, seven hundred thirty million, seven hundred five thousand, seven hundred ninety-two".