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2141855040 = 263513732351
BaseRepresentation
bin111111110101010…
…0001110101000000
312112021021111202110
41333222201311000
513341303330130
6552311215320
7104035316223
oct17752416500
95467244673
102141855040
119aa026436
124b9377540
13281983b60
141646635ba
15c8083ab0
hex7faa1d40

2141855040 has 224 divisors, whose sum is σ = 7426976256. Its totient is φ = 519782400.

The previous prime is 2141855033. The next prime is 2141855057. The reversal of 2141855040 is 405581412.

2141855040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2141854989 and 2141855007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909865 + ... + 912215.

It is an arithmetic number, because the mean of its divisors is an integer number (33156144).

Almost surely, 22141855040 is an apocalyptic number.

2141855040 is a gapful number since it is divisible by the number (20) 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 2141855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713488128).

2141855040 is an abundant number, since it is smaller than the sum of its proper divisors (5285121216).

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

2141855040 is a wasteful number, since it uses less digits than its factorization.

2141855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2141855040 is about 46280.1797749317. The cubic root of 2141855040 is about 1289.0309891331.

The spelling of 2141855040 in words is "two billion, one hundred forty-one million, eight hundred fifty-five thousand, forty".