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2141024020000 = 2554709150989
BaseRepresentation
bin11111001001111110111…
…110011110011000100000
321120200100122102100001221
4133021332332132120200
5240034304122120000
64315323423104424
7310453366616305
oct37117676363040
97520318370057
102141024020000
11756004274348
122a6b40742114
13126b89323658
14758aa0bd0ac
153aa5da7761a
hex1f27ef9e620

2141024020000 has 120 divisors (see below), whose sum is σ = 5274704288700. Its totient is φ = 855196032000.

The previous prime is 2141024019931. The next prime is 2141024020061. The reversal of 2141024020000 is 204201412.

It can be written as a sum of positive squares in 10 ways, for example, as 520423731216 + 1620600288784 = 721404^2 + 1273028^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14104506 + ... + 14255494.

Almost surely, 22141024020000 is an apocalyptic number.

2141024020000 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 2141024020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637352144350).

2141024020000 is an abundant number, since it is smaller than the sum of its proper divisors (3133680268700).

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

2141024020000 is an equidigital number, since it uses as much as digits as its factorization.

2141024020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151728 (or 151705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2141024020000 its reverse (204201412), we get a palindrome (2141228221412).

The spelling of 2141024020000 in words is "two trillion, one hundred forty-one billion, twenty-four million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 709 800 1000 1250 1418 2000 2500 2836 3545 4000 5000 5672 7090 10000 11344 14180 17725 20000 22688 28360 35450 56720 70900 88625 113440 141800 150989 177250 283600 301978 354500 443125 567200 603956 709000 754945 886250 1207912 1418000 1509890 1772500 2415824 2836000 3019780 3545000 3774725 4831648 6039560 7090000 7549450 12079120 14180000 15098900 18873625 24158240 30197800 37747250 60395600 75494500 94368125 107051201 120791200 150989000 188736250 214102402 301978000 377472500 428204804 535256005 603956000 754945000 856409608 1070512010 1509890000 1712819216 2141024020 2676280025 3019780000 3425638432 4282048040 5352560050 8564096080 10705120100 13381400125 17128192160 21410240200 26762800250 42820480400 53525600500 66907000625 85640960800 107051201000 133814001250 214102402000 267628002500 428204804000 535256005000 1070512010000 2141024020000