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4101425280 = 27345611297
BaseRepresentation
bin1111010001110110…
…1100100010000000
3101120211112222210000
43310131230202000
531344431102110
61514551440000
7203431353051
oct36435544200
911524488700
104101425280
111815169577
12965686000
13504943b84
142ac9d6728
1519010c1c0
hexf476c880

4101425280 has 320 divisors, whose sum is σ = 14898521880. Its totient is φ = 1074954240.

The previous prime is 4101425233. The next prime is 4101425347. The reversal of 4101425280 is 825241014.

It can be written as a sum of positive squares in 4 ways, for example, as 3477225024 + 624200256 = 58968^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3161592 + ... + 3162888.

Almost surely, 24101425280 is an apocalyptic number.

4101425280 is a gapful number since it is divisible by the number (40) 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 4101425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449260940).

4101425280 is an abundant number, since it is smaller than the sum of its proper divisors (10797096600).

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

4101425280 is a wasteful number, since it uses less digits than its factorization.

4101425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4101425280 is about 64042.3709742230. The cubic root of 4101425280 is about 1600.7061050057.

Adding to 4101425280 its reverse (825241014), we get a palindrome (4926666294).

The spelling of 4101425280 in words is "four billion, one hundred one million, four hundred twenty-five thousand, two hundred eighty".