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41422544133100 = 225213231499297781
BaseRepresentation
bin10010110101100011100000…
…00001110101101111101100
312102122221211022200102112221
421122301300001311233230
520412131332244224400
6224033130514005124
711503452154500244
oct1132616001655754
9172587738612487
1041422544133100
1112220225309219
12478bb722767a4
131a1618a98b560
14a32c0cc28b24
154bc76713ec1a
hex25ac70075bec

41422544133100 has 144 divisors (see below), whose sum is σ = 101687982177600. Its totient is φ = 14531314406400.

The previous prime is 41422544133017. The next prime is 41422544133119. The reversal of 41422544133100 is 133144522414.

41422544133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414225441331002 (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 193791 + ... + 9103990.

It is an arithmetic number, because the mean of its divisors is an integer number (706166542900).

Almost surely, 241422544133100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41422544133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843991088800).

41422544133100 is an abundant number, since it is smaller than the sum of its proper divisors (60265438044500).

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

41422544133100 is a wasteful number, since it uses less digits than its factorization.

41422544133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297980 (or 9297973 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 41422544133100 its reverse (133144522414), we get a palindrome (41555688655514).

The spelling of 41422544133100 in words is "forty-one trillion, four hundred twenty-two billion, five hundred forty-four million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 149 230 260 298 299 325 460 575 596 598 650 745 1150 1196 1300 1490 1495 1937 2300 2980 2990 3427 3725 3874 5980 6854 7450 7475 7748 9685 13708 14900 14950 17135 19370 29900 34270 38740 44551 48425 68540 85675 89102 96850 171350 178204 193700 222755 342700 445510 891020 1113775 2227550 4455100 9297781 18595562 37191124 46488905 92977810 120871153 185955620 213848963 232444525 241742306 427697926 464889050 483484612 604355765 855395852 929778100 1069244815 1208711530 1385369369 2138489630 2417423060 2770738738 2780036519 3021778825 4276979260 5346224075 5541477476 5560073038 6043557650 6926846845 10692448150 11120146076 12087115300 13853693690 13900182595 18009801797 21384896300 27707387380 27800365190 31863495487 34634234225 36019603594 55600730380 63726990974 69268468450 69500912975 72039207188 90049008985 127453981948 138536936900 139001825950 159317477435 180098017970 278003651900 318634954870 360196035940 414225441331 450245044925 637269909740 796587387175 828450882662 900490089850 1593174774350 1656901765324 1800980179700 2071127206655 3186349548700 4142254413310 8284508826620 10355636033275 20711272066550 41422544133100