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1442345355040 = 25583108610343
BaseRepresentation
bin10100111111010010011…
…110111000011100100000
312002212221112020201020211
4110333102132320130200
5142112410402330130
63022334310343504
7206130443142442
oct24772236703440
95085845221224
101442345355040
11506771395287
121b365265ab94
13a6021851685
144db4a490492
15277ba9c6a2a
hex14fd27b8720

1442345355040 has 48 divisors (see below), whose sum is σ = 3448595642688. Its totient is φ = 569987074816.

The previous prime is 1442345355029. The next prime is 1442345355067. The reversal of 1442345355040 is 405535432441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1442345354984 and 1442345355002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54291892 + ... + 54318451.

It is an arithmetic number, because the mean of its divisors is an integer number (71845742556).

Almost surely, 21442345355040 is an apocalyptic number.

1442345355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442345355040 is an abundant number, since it is smaller than the sum of its proper divisors (2006250287648).

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

1442345355040 is a wasteful number, since it uses less digits than its factorization.

1442345355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108610441 (or 108610433 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 1442345355040 in words is "one trillion, four hundred forty-two billion, three hundred forty-five million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 108610343 217220686 434441372 543051715 868882744 1086103430 1737765488 2172206860 3475530976 4344413720 8688827440 9014658469 17377654880 18029316938 36058633876 45073292345 72117267752 90146584690 144234535504 180293169380 288469071008 360586338760 721172677520 1442345355040