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1025442235120 = 2454326932411
BaseRepresentation
bin11101110110000010001…
…11101100001011110000
310122000211211110212211111
432323001013230023300
5113300101203010440
62103025345523104
7134041262116432
oct16730107541360
93560754425744
101025442235120
11365984454796
121468a2643494
1375911310634
14378bb42a652
151ba1a1914ea
hexeec11ec2f0

1025442235120 has 60 divisors (see below), whose sum is σ = 2440888400376. Its totient is φ = 400637838720.

The previous prime is 1025442235039. The next prime is 1025442235121. The reversal of 1025442235120 is 215322445201.

It is a happy number.

1025442235120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10254422351202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025442235121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3318286 + ... + 3614125.

Almost surely, 21025442235120 is an apocalyptic number.

1025442235120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025442235120 is an abundant number, since it is smaller than the sum of its proper divisors (1415446165256).

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

1025442235120 is an equidigital number, since it uses as much as digits as its factorization.

1025442235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932510 (or 6932461 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 1025442235120 in words is "one trillion, twenty-five billion, four hundred forty-two million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 1849 3440 3698 7396 9245 14792 18490 29584 36980 73960 147920 6932411 13864822 27729644 34662055 55459288 69324110 110918576 138648220 277296440 298093673 554592880 596187346 1192374692 1490468365 2384749384 2980936730 4769498768 5961873460 11923746920 12818027939 23847493840 25636055878 51272111756 64090139695 102544223512 128180279390 205088447024 256360558780 512721117560 1025442235120