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40022242444000 = 255353871857353
BaseRepresentation
bin10010001100110011001111…
…00010110100001011100000
312020201002101220000020102201
421012121213202310023200
520221211023031202000
6221041544145022544
711300340322514155
oct1106314742641340
9166632356006381
1040022242444000
11118303795334a3
1245a46b4024a54
131944109714b2b
149c513052a22c
1549610c78a96a
hex2466678b42e0

40022242444000 has 96 divisors (see below), whose sum is σ = 98352956703456. Its totient is φ = 16005916595200.

The previous prime is 40022242443991. The next prime is 40022242444007. The reversal of 40022242444000 is 44424222004.

It is a self number, because there is not a number n which added to its sum of digits gives 40022242444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40022242444007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20619324 + ... + 22476676.

It is an arithmetic number, because the mean of its divisors is an integer number (1024509965661).

Almost surely, 240022242444000 is an apocalyptic number.

40022242444000 is a gapful number since it is divisible by the number (40) 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 40022242444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49176478351728).

40022242444000 is an abundant number, since it is smaller than the sum of its proper divisors (58330714259456).

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

40022242444000 is a wasteful number, since it uses less digits than its factorization.

40022242444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862765 (or 1862747 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40022242444000 its reverse (44424222004), we get a palindrome (40066666666004).

The spelling of 40022242444000 in words is "forty trillion, twenty-two billion, two hundred forty-two million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5387 10774 21548 26935 43096 53870 86192 107740 134675 172384 215480 269350 430960 538700 673375 861920 1077400 1346750 1857353 2154800 2693500 3714706 4309600 5387000 7429412 9286765 10774000 14858824 18573530 21548000 29717648 37147060 46433825 59435296 74294120 92867650 148588240 185735300 232169125 297176480 371470600 464338250 742941200 928676500 1485882400 1857353000 3714706000 7429412000 10005560611 20011121222 40022242444 50027803055 80044484888 100055606110 160088969776 200111212220 250139015275 320177939552 400222424440 500278030550 800444848880 1000556061100 1250695076375 1600889697760 2001112122200 2501390152750 4002224244400 5002780305500 8004448488800 10005560611000 20011121222000 40022242444000