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41442472227296 = 257312192519289
BaseRepresentation
bin10010110110001000100111…
…10101011111000111100000
312102201212021010220111120202
421123010103311133013200
520412443140342233141
6224050224154124332
711505056044502240
oct1133042365370740
9172655233814522
1041442472227296
1112228721195358
1247939b41206a8
131a180154ab07a
14a33b7d753b20
154bd03190549b
hex25b113d5f1e0

41442472227296 has 72 divisors (see below), whose sum is σ = 96350514104880. Its totient is φ = 17188122032640.

The previous prime is 41442472227293. The next prime is 41442472227319. The reversal of 41442472227296 is 69272227424414.

41442472227296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442472227293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 96044381 + ... + 96474908.

It is an arithmetic number, because the mean of its divisors is an integer number (1338201584790).

Almost surely, 241442472227296 is an apocalyptic number.

It is an amenable number.

41442472227296 is an abundant number, since it is smaller than the sum of its proper divisors (54908041877584).

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

41442472227296 is a wasteful number, since it uses less digits than its factorization.

41442472227296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192519368 (or 192519329 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 56.

The spelling of 41442472227296 in words is "forty-one trillion, four hundred forty-two billion, four hundred seventy-two million, two hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 961 992 1736 1922 3472 3844 6727 6944 7688 13454 15376 26908 30752 53816 107632 215264 192519289 385038578 770077156 1347635023 1540154312 2695270046 3080308624 5390540092 5968097959 6160617248 10781080184 11936195918 21562160368 23872391836 41776685713 43124320736 47744783672 83553371426 95489567344 167106742852 185011036729 190979134688 334213485704 370022073458 668426971408 740044146916 1295077257103 1336853942816 1480088293832 2590154514206 2960176587664 5180309028412 5920353175328 10360618056824 20721236113648 41442472227296