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41441002040022 = 231313011830722307
BaseRepresentation
bin10010110110000101111000…
…01101001010101011010110
312102201201110200111020210020
421123002330031022223112
520412432133010240042
6224045422235010010
711505004443223044
oct1133027415125326
9172651420436706
1041441002040022
1112228037317952
124793663899906
131a17b3ca26780
14a33a803b1394
154bce977e93ec
hex25b0bc34aad6

41441002040022 has 64 divisors (see below), whose sum is σ = 89335033691904. Its totient is φ = 12740009443200.

The previous prime is 41441002039981. The next prime is 41441002040033. The reversal of 41441002040022 is 22004020014414.

41441002040022 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 2×414410020400222 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41441002039974 and 41441002040001.

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, 1857746593 + ... + 1857768899.

It is an arithmetic number, because the mean of its divisors is an integer number (1395859901436).

Almost surely, 241441002040022 is an apocalyptic number.

41441002040022 is an abundant number, since it is smaller than the sum of its proper divisors (47894031651882).

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

41441002040022 is a wasteful number, since it uses less digits than its factorization.

41441002040022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41933.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41441002040022 its reverse (22004020014414), we get a palindrome (63445022054436).

The spelling of 41441002040022 in words is "forty-one trillion, four hundred forty-one billion, two million, forty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 1301 2602 3903 7806 16913 18307 22307 33826 36614 44614 50739 54921 66921 101478 109842 133842 237991 289991 475982 579982 713973 869973 1427946 1739946 23817407 29021407 47634814 58042814 71452221 87064221 142904442 174128442 309626291 377278291 408374249 619252582 754556582 816748498 928878873 1131834873 1225122747 1857757746 2263669746 2450245494 5308865237 10617730474 15926595711 31853191422 531294897949 1062589795898 1593884693847 3187769387694 6906833673337 13813667346674 20720501020011 41441002040022