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41121244134 = 23341175910559
BaseRepresentation
bin100110010011000001…
…000110001111100110
310221010210212122022000
4212103001012033212
51133204014303014
630520230550130
72654010544065
oct462301061746
9127123778260
1041121244134
1116491963393
127b77508346
133b54460a29
141dc147a1dc
15110a167509
hex9930463e6

41121244134 has 64 divisors (see below), whose sum is σ = 93671424000. Its totient is φ = 13363894080.

The previous prime is 41121244123. The next prime is 41121244147. The reversal of 41121244134 is 43144212114.

41121244134 is a `hidden beast` number, since 4 + 1 + 1 + 212 + 441 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41121244098 and 41121244107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3889147 + ... + 3899705.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616000).

Almost surely, 241121244134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41121244134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46835712000).

41121244134 is an abundant number, since it is smaller than the sum of its proper divisors (52550179866).

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

41121244134 is a wasteful number, since it uses less digits than its factorization.

41121244134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370 (or 12364 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 41121244134 its reverse (43144212114), we get a palindrome (84265456248).

The spelling of 41121244134 in words is "forty-one billion, one hundred twenty-one million, two hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1759 2214 3518 5277 10554 10559 15831 21118 31662 31677 47493 63354 72119 94986 95031 144238 190062 216357 285093 432714 432919 570186 649071 865838 1298142 1298757 1947213 2597514 3894426 3896271 7792542 11688813 18573281 23377626 37146562 55719843 111439686 167159529 334319058 501478587 761504521 1002957174 1523009042 2284513563 4569027126 6853540689 13707081378 20560622067 41121244134