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41554120440 = 23357191259001
BaseRepresentation
bin100110101100110100…
…011000111011111000
310222020222102000221210
4212230310120323320
51140100323323230
631031213003120
73000515124120
oct465464307370
9128228360853
1041554120440
11166942437a8
1280784834a0
133bc3043561
142022b5bc80
151133171eb0
hex9acd18ef8

41554120440 has 128 divisors (see below), whose sum is σ = 143217745920. Its totient is φ = 9448320000.

The previous prime is 41554120423. The next prime is 41554120441. The reversal of 41554120440 is 4402145514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41554120398 and 41554120407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41554120441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30940 + ... + 289940.

It is an arithmetic number, because the mean of its divisors is an integer number (1118888640).

Almost surely, 241554120440 is an apocalyptic number.

41554120440 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 41554120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608872960).

41554120440 is an abundant number, since it is smaller than the sum of its proper divisors (101663625480).

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

41554120440 is a wasteful number, since it uses less digits than its factorization.

41554120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259213 (or 259209 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 41554120440 its reverse (4402145514), we get a palindrome (45956265954).

The spelling of 41554120440 in words is "forty-one billion, five hundred fifty-four million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 191 210 280 382 420 573 764 840 955 1146 1337 1528 1910 2292 2674 2865 3820 4011 4584 5348 5730 6685 7640 8022 10696 11460 13370 16044 20055 22920 26740 32088 40110 53480 80220 160440 259001 518002 777003 1036004 1295005 1554006 1813007 2072008 2590010 3108012 3626014 3885015 5180020 5439021 6216024 7252028 7770030 9065035 10360040 10878042 14504056 15540060 18130070 21756084 27195105 31080120 36260140 43512168 49469191 54390210 72520280 98938382 108780420 148407573 197876764 217560840 247345955 296815146 346284337 395753528 494691910 593630292 692568674 742037865 989383820 1038853011 1187260584 1385137348 1484075730 1731421685 1978767640 2077706022 2770274696 2968151460 3462843370 4155412044 5194265055 5936302920 6925686740 8310824088 10388530110 13851373480 20777060220 41554120440