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1442257520940 = 223354365994253
BaseRepresentation
bin10100111111001101001…
…111110100100100101100
312002212201101222021112000
4110333031033310210230
5142112220411132230
63022321452012300
7206125325440365
oct24771517644454
95085641867460
101442257520940
11506726853215
121b3629161090
13a60095aa532
144db3c948b6c
15277b2e26b60
hex14fcd3f492c

1442257520940 has 192 divisors, whose sum is σ = 4598388748800. Its totient is φ = 375083751168.

The previous prime is 1442257520939. The next prime is 1442257520941. The reversal of 1442257520940 is 490257522441.

1442257520940 is a `hidden beast` number, since 14 + 4 + 2 + 2 + 575 + 20 + 9 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1442257520939) and next prime (1442257520941).

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

It is not an unprimeable number, because it can be changed into a prime (1442257520941) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15254854 + ... + 15349106.

It is an arithmetic number, because the mean of its divisors is an integer number (23949941400).

Almost surely, 21442257520940 is an apocalyptic number.

1442257520940 is a gapful number since it is divisible by the number (10) 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 1442257520940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299194374400).

1442257520940 is an abundant number, since it is smaller than the sum of its proper divisors (3156131227860).

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

1442257520940 is a wasteful number, since it uses less digits than its factorization.

1442257520940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94973 (or 94965 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1442257520940 in words is "one trillion, four hundred forty-two billion, two hundred fifty-seven million, five hundred twenty thousand, nine hundred forty".