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42201242444000 = 255323458709157
BaseRepresentation
bin10011001100001101111100…
…00100001010000011100000
312112102101210010221020112102
421212012332010022003200
521012411121031202000
6225430552205145532
711613640062101363
oct1146067604120340
9175371703836472
1042201242444000
11124a04a01a2682
124896a7285b2a8
131a71738683563
14a5c7a00680da
154d2b402903d5
hex2661be10a0e0

42201242444000 has 96 divisors (see below), whose sum is σ = 108196646515776. Its totient is φ = 16146562291200.

The previous prime is 42201242443937. The next prime is 42201242444047. The reversal of 42201242444000 is 44424210224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229262579 + ... + 229446578.

It is an arithmetic number, because the mean of its divisors is an integer number (1127048401206).

Almost surely, 242201242444000 is an apocalyptic number.

42201242444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201242444000 is an abundant number, since it is smaller than the sum of its proper divisors (65995404071776).

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

42201242444000 is a wasteful number, since it uses less digits than its factorization.

42201242444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458709205 (or 458709187 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 42201242444000 its reverse (44424210224), we get a palindrome (42245666654224).

The spelling of 42201242444000 in words is "forty-two trillion, two hundred one billion, two hundred forty-two million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 458709157 917418314 1834836628 2293545785 3669673256 4587091570 7339346512 9174183140 10550310611 11467728925 14678693024 18348366280 21100621222 22935457850 36696732560 42201242444 45870915700 52751553055 57338644625 73393465120 84402484888 91741831400 105503106110 114677289250 168804969776 183483662800 211006212220 229354578500 263757765275 337609939552 366967325600 422012424440 458709157000 527515530550 844024848880 917418314000 1055031061100 1318788826375 1688049697760 1834836628000 2110062122200 2637577652750 4220124244400 5275155305500 8440248488800 10550310611000 21100621222000 42201242444000