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41431343001444 = 223211195506558081
BaseRepresentation
bin10010110101110011111000…
…11110110110111101100100
312102200210112112022020210200
421122321330132312331210
520412302342302021234
6224041143552150500
711504213205601524
oct1132717436667544
9172623475266720
1041431343001444
1112223a30014240
124791808b38430
131a16c60879426
14a33405645684
154bcace83bd99
hex25ae7c7b6f64

41431343001444 has 72 divisors (see below), whose sum is σ = 120263228510880. Its totient is φ = 11894165452800.

The previous prime is 41431343001431. The next prime is 41431343001457. The reversal of 41431343001444 is 44410034313414.

41431343001444 is a `hidden beast` number, since 41 + 43 + 1 + 3 + 430 + 0 + 144 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41431343001431) and next prime (41431343001457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41431343001399 and 41431343001408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2753271517 + ... + 2753286564.

Almost surely, 241431343001444 is an apocalyptic number.

41431343001444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41431343001444 is an abundant number, since it is smaller than the sum of its proper divisors (78831885509436).

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

41431343001444 is a wasteful number, since it uses less digits than its factorization.

41431343001444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506558121 (or 5506558116 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41431343001444 its reverse (44410034313414), we get a palindrome (85841377314858).

The spelling of 41431343001444 in words is "forty-one trillion, four hundred thirty-one billion, three hundred forty-three million, one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 5506558081 11013116162 16519674243 22026232324 33039348486 49559022729 60572138891 66078696972 99118045458 104624603539 121144277782 181716416673 198236090916 209249207078 242288555564 313873810617 363432833346 418498414156 545149250019 627747621234 726865666692 941621431851 1090298500038 1150870638929 1255495242468 1883242863702 2180597000076 2301741277858 3452611916787 3766485727404 4603482555716 6905223833574 10357835750361 13810447667148 20715671500722 41431343001444