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42044232132441 = 3371141677361957
BaseRepresentation
bin10011000111101001011111…
…00001010110011101011001
312111212101111211100000002000
421203310233201112131121
521002323041411214231
6225230504213231213
711566411160343120
oct1143645741263531
9174771454300060
1042044232132441
111243a949a47710
124870554332509
131a5c9a592a866
14a54d47634ab7
154cda0100b6e6
hex263d2f856759

42044232132441 has 128 divisors (see below), whose sum is σ = 80738887864320. Its totient is φ = 20990408947200.

The previous prime is 42044232132313. The next prime is 42044232132443. The reversal of 42044232132441 is 14423123244024.

42044232132441 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 4 + 2 + 321 + 324 + 4 + 1 = 666.

It is not a de Polignac number, because 42044232132441 - 27 = 42044232132313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42044232132396 and 42044232132405.

It is not an unprimeable number, because it can be changed into a prime (42044232132443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2030035 + ... + 9391991.

It is an arithmetic number, because the mean of its divisors is an integer number (630772561440).

Almost surely, 242044232132441 is an apocalyptic number.

42044232132441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42044232132441 is a deficient number, since it is larger than the sum of its proper divisors (38694655731879).

42044232132441 is a wasteful number, since it uses less digits than its factorization.

42044232132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362092 (or 7362086 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42044232132441 its reverse (14423123244024), we get a palindrome (56467355376465).

The spelling of 42044232132441 in words is "forty-two trillion, forty-four billion, two hundred thirty-two million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 41 63 67 77 99 123 189 201 231 287 297 369 451 469 603 693 737 861 1107 1353 1407 1809 2079 2211 2583 2747 3157 4059 4221 5159 6633 7749 8241 9471 12177 12663 15477 19229 19899 24723 28413 30217 46431 57687 74169 85239 90651 139293 173061 211519 271953 519183 634557 815859 1903671 5711013 7361957 22085871 51533699 66257613 80981527 154601097 198772839 242944581 301840237 463803291 493251119 566870689 728833743 905520711 1391409873 1479753357 1700612067 2112881659 2186501229 2716562133 3320242607 3452757833 4439260071 5101836201 5425762309 6338644977 8149686399 9960727821 10358273499 13317780213 15305508603 16277286927 19015934931 20223295879 23241698249 29882183463 31074820497 37980336163 48831860781 57047804793 60669887637 69725094747 89646550389 93224461491 113941008489 141563071153 146495582343 182009662911 209175284241 222456254669 341823025467 424689213459 546028988733 627525852723 667368764007 1025469076401 1274067640377 1557193782683 2002106292021 3822202921131 4671581348049 6006318876063 14014744044147 42044232132441