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41242454232 = 23372359180907
BaseRepresentation
bin100110011010001111…
…011110100011011000
310221110020221202021220
4212122033132203120
51133431032013412
630540240532040
72660012035230
oct463217364330
9127406852256
1041242454232
1116544321321
127bb0021020
133b735bc695
141dd35cccc0
151115b0b68c
hex99a3de8d8

41242454232 has 128 divisors (see below), whose sum is σ = 125043609600. Its totient is φ = 11080130688.

The previous prime is 41242454221. The next prime is 41242454233. The reversal of 41242454232 is 23245424214.

It is a super-2 number, since 2×412424542322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41242454193 and 41242454202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242454233) 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, 137523 + ... + 318429.

It is an arithmetic number, because the mean of its divisors is an integer number (976903200).

Almost surely, 241242454232 is an apocalyptic number.

41242454232 is a gapful number since it is divisible by the number (42) 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 41242454232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62521804800).

41242454232 is an abundant number, since it is smaller than the sum of its proper divisors (83801155368).

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

41242454232 is a wasteful number, since it uses less digits than its factorization.

41242454232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181005 (or 181001 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

Adding to 41242454232 its reverse (23245424214), we get a palindrome (64487878446).

The spelling of 41242454232 in words is "forty-one billion, two hundred forty-two million, four hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 59 69 84 92 118 138 161 168 177 184 236 276 322 354 413 472 483 552 644 708 826 966 1239 1288 1357 1416 1652 1932 2478 2714 3304 3864 4071 4956 5428 8142 9499 9912 10856 16284 18998 28497 32568 37996 56994 75992 113988 180907 227976 361814 542721 723628 1085442 1266349 1447256 2170884 2532698 3799047 4160861 4341768 5065396 7598094 8321722 10130792 10673513 12482583 15196188 16643444 21347026 24965166 29126027 30392376 32020539 33286888 42694052 49930332 58252054 64041078 74714591 85388104 87378081 99860664 116504108 128082156 149429182 174756162 224143773 233008216 245490799 256164312 298858364 349512324 448287546 490981598 597716728 699024648 736472397 896575092 981963196 1472944794 1718435593 1793150184 1963926392 2945889588 3436871186 5155306779 5891779176 6873742372 10310613558 13747484744 20621227116 41242454232