Search a number
-
+
2143141400 = 235234730881
BaseRepresentation
bin111111110111101…
…1011111000011000
312112100200212022102
41333233123320120
513342121011100
6552354542532
7104052254441
oct17757337030
95470625272
102143141400
119aa824944
124b9897a48
1328201450a
141648ba2c8
15c8239cd5
hex7fbdbe18

2143141400 has 48 divisors (see below), whose sum is σ = 4997325240. Its totient is φ = 854758400.

The previous prime is 2143141393. The next prime is 2143141411. The reversal of 2143141400 is 41413412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53960 + ... + 84840.

Almost surely, 22143141400 is an apocalyptic number.

2143141400 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 2143141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498662620).

2143141400 is an abundant number, since it is smaller than the sum of its proper divisors (2854183840).

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

2143141400 is a wasteful number, since it uses less digits than its factorization.

2143141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31244 (or 31235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2143141400 is about 46294.0752148696. The cubic root of 2143141400 is about 1289.2889938424.

Adding to 2143141400 its reverse (41413412), we get a palindrome (2184554812).

The spelling of 2143141400 in words is "two billion, one hundred forty-three million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 347 694 1388 1735 2776 3470 6940 8675 13880 17350 30881 34700 61762 69400 123524 154405 247048 308810 617620 772025 1235240 1544050 3088100 6176200 10715707 21431414 42862828 53578535 85725656 107157070 214314140 267892675 428628280 535785350 1071570700 2143141400