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41141114460 = 22335281271129
BaseRepresentation
bin100110010100001100…
…111001011001011100
310221012012021011021000
4212110030321121130
51133224111130320
630522220510300
72654341463055
oct462414713134
9127165234230
1041141114460
11164a20a5246
127b820ab390
133b585ca114
141dc3d6d72c
15110bc8ec90
hex99433965c

41141114460 has 96 divisors (see below), whose sum is σ = 128450548800. Its totient is φ = 10931880960.

The previous prime is 41141114437. The next prime is 41141114471. The reversal of 41141114460 is 6441114114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16176 + ... + 287304.

It is an arithmetic number, because the mean of its divisors is an integer number (1338026550).

Almost surely, 241141114460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41141114460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64225274400).

41141114460 is an abundant number, since it is smaller than the sum of its proper divisors (87309434340).

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

41141114460 is a wasteful number, since it uses less digits than its factorization.

41141114460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271428 (or 271420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 41141114460 its reverse (6441114114), we get a palindrome (47582228574).

The spelling of 41141114460 in words is "forty-one billion, one hundred forty-one million, one hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 7587 8430 10116 12645 15174 16860 25290 30348 37935 50580 75870 151740 271129 542258 813387 1084516 1355645 1626774 2440161 2711290 3253548 4066935 4880322 5422580 7320483 8133870 9760644 12200805 14640966 16267740 24401610 29281932 36602415 48803220 73204830 76187249 146409660 152374498 228561747 304748996 380936245 457123494 685685241 761872490 914246988 1142808735 1371370482 1523744980 2057055723 2285617470 2742740964 3428426205 4114111446 4571234940 6856852410 8228222892 10285278615 13713704820 20570557230 41141114460