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1442729659392 = 210327193143883
BaseRepresentation
bin10100111111101001011…
…000111000110000000000
312002220221022101101201100
4110333221120320300000
5142114202243100032
63022440355334400
7206143120523340
oct24775130706000
95086838341640
101442729659392
1150694930a88a
121b373b2b1400
13a6083358ab8
144db8552ad20
15277de5d997c
hex14fe9638c00

1442729659392 has 1056 divisors, whose sum is σ = 5299514654720. Its totient is φ = 368709304320.

The previous prime is 1442729659391. The next prime is 1442729659403. The reversal of 1442729659392 is 2939569272441.

1442729659392 is a `hidden beast` number, since 1 + 4 + 42 + 72 + 96 + 59 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1442729659391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1633894983 + ... + 1633895865.

Almost surely, 21442729659392 is an apocalyptic number.

1442729659392 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 1442729659392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649757327360).

1442729659392 is an abundant number, since it is smaller than the sum of its proper divisors (3856784995328).

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

1442729659392 is a wasteful number, since it uses less digits than its factorization.

1442729659392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 988 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 1442729659392 in words is "one trillion, four hundred forty-two billion, seven hundred twenty-nine million, six hundred fifty-nine thousand, three hundred ninety-two".