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2044141334000 = 24531997554569
BaseRepresentation
bin11101101111110000010…
…100010110110111110000
321020102021201112221201022
4131233300110112313300
5231442400140142000
64203022054555012
7300453504436643
oct35576024266760
97212251487638
102044141334000
11718a08546407
12290202968a68
1311a9b95c190c
1470d19081a5a
153828d356585
hex1dbf0516df0

2044141334000 has 160 divisors (see below), whose sum is σ = 5256525019200. Its totient is φ = 766634803200.

The previous prime is 2044141333999. The next prime is 2044141334041. The reversal of 2044141334000 is 4331414402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408716 + ... + 3963284.

It is an arithmetic number, because the mean of its divisors is an integer number (32853281370).

Almost surely, 22044141334000 is an apocalyptic number.

2044141334000 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 2044141334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628262509600).

2044141334000 is an abundant number, since it is smaller than the sum of its proper divisors (3212383685200).

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

2044141334000 is a wasteful number, since it uses less digits than its factorization.

2044141334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554708 (or 554692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2044141334000 its reverse (4331414402), we get a palindrome (2048472748402).

The spelling of 2044141334000 in words is "two trillion, forty-four billion, one hundred forty-one million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 97 100 125 152 190 194 200 250 304 380 388 400 475 485 500 760 776 950 970 1000 1520 1552 1843 1900 1940 2000 2375 2425 3686 3800 3880 4750 4850 7372 7600 7760 9215 9500 9700 12125 14744 18430 19000 19400 24250 29488 36860 38000 38800 46075 48500 73720 92150 97000 147440 184300 194000 230375 368600 460750 554569 737200 921500 1109138 1843000 2218276 2772845 3686000 4436552 5545690 8873104 10536811 11091380 13864225 21073622 22182760 27728450 42147244 44365520 52684055 53793193 55456900 69321125 84294488 105368110 107586386 110913800 138642250 168588976 210736220 215172772 221827600 263420275 268965965 277284500 421472440 430345544 526840550 537931930 554569000 842944880 860691088 1022070667 1053681100 1075863860 1109138000 1317101375 1344829825 2044141334 2107362200 2151727720 2634202750 2689659650 4088282668 4214724400 4303455440 5110353335 5268405500 5379319300 6724149125 8176565336 10220706670 10536811000 10758638600 13448298250 16353130672 20441413340 21073622000 21517277200 25551766675 26896596500 40882826680 51103533350 53793193000 81765653360 102207066700 107586386000 127758833375 204414133400 255517666750 408828266800 511035333500 1022070667000 2044141334000