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41242989387000 = 2335348772818877
BaseRepresentation
bin10010110000010101000011…
…01110110101110011111000
312102000210100211202020211110
421120022201232311303320
520401211120240341000
6223414433500400320
711454464503361412
oct1130124156656370
9172023324666743
1041242989387000
1112161065340975
1247612018460a0
131a0227437166b
14a282582139b2
154b7c58a88850
hex2582a1bb5cf8

41242989387000 has 128 divisors (see below), whose sum is σ = 128704557234240. Its totient is φ = 10995871500800.

The previous prime is 41242989386999. The next prime is 41242989387013. The reversal of 41242989387000 is 78398924214.

41242989387000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13221562 + ... + 16040438.

Almost surely, 241242989387000 is an apocalyptic number.

41242989387000 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 41242989387000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64352278617120).

41242989387000 is an abundant number, since it is smaller than the sum of its proper divisors (87461567847240).

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

41242989387000 is a wasteful number, since it uses less digits than its factorization.

41242989387000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823778 (or 2823764 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 41242989387000 in words is "forty-one trillion, two hundred forty-two billion, nine hundred eighty-nine million, three hundred eighty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4877 9754 14631 19508 24385 29262 39016 48770 58524 73155 97540 117048 121925 146310 195080 243850 292620 365775 487700 585240 609625 731550 975400 1219250 1463100 1828875 2438500 2818877 2926200 3657750 4877000 5637754 7315500 8456631 11275508 14094385 14631000 16913262 22551016 28188770 33826524 42283155 56377540 67653048 70471925 84566310 112755080 140943850 169132620 211415775 281887700 338265240 352359625 422831550 563775400 704719250 845663100 1057078875 1409438500 1691326200 2114157750 2818877000 4228315500 8456631000 13747663129 27495326258 41242989387 54990652516 68738315645 82485978774 109981305032 137476631290 164971957548 206214946935 274953262580 329943915096 343691578225 412429893870 549906525160 687383156450 824859787740 1031074734675 1374766312900 1649719575480 1718457891125 2062149469350 2749532625800 3436915782250 4124298938700 5155373673375 6873831564500 8248597877400 10310747346750 13747663129000 20621494693500 41242989387000