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2141401000 = 23532141401
BaseRepresentation
bin111111110100011…
…0010111110101000
312112020102102221011
41333220302332220
513341144313000
6552253353304
7104031415414
oct17750627650
95466372834
102141401000
119a98462a2
124b9198834
132818552ab
14164585d44
15c7ee42ba
hex7fa32fa8

2141401000 has 32 divisors (see below), whose sum is σ = 5010880680. Its totient is φ = 856560000.

The previous prime is 2141400983. The next prime is 2141401001. The reversal of 2141401000 is 1041412.

It can be written as a sum of positive squares in 4 ways, for example, as 1308847684 + 832553316 = 36178^2 + 28854^2 .

It is not an unprimeable number, because it can be changed into a prime (2141401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069701 + ... + 1071700.

Almost surely, 22141401000 is an apocalyptic number.

2141401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141401000 is an abundant number, since it is smaller than the sum of its proper divisors (2869479680).

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

2141401000 is a wasteful number, since it uses less digits than its factorization.

2141401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141422 (or 2141408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2141401000 is about 46275.2741753088. The cubic root of 2141401000 is about 1288.9398978469.

Adding to 2141401000 its reverse (1041412), we get a palindrome (2142442412).

The spelling of 2141401000 in words is "two billion, one hundred forty-one million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2141401 4282802 8565604 10707005 17131208 21414010 42828020 53535025 85656040 107070050 214140100 267675125 428280200 535350250 1070700500 2141401000