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41375522144 = 2511222946663
BaseRepresentation
bin100110100010001011…
…000101110101100000
310221210112100022011002
4212202023011311200
51134214113202034
631001353011132
72663216064305
oct464213056540
9127715308132
1041375522144
1116602449200
1280286b3aa8
133b950406a8
14200714b0ac
151122643e7e
hex9a22c5d60

41375522144 has 72 divisors (see below), whose sum is σ = 89929460880. Its totient is φ = 18724527360.

The previous prime is 41375522141. The next prime is 41375522171. The reversal of 41375522144 is 44122557314.

It is a junction number, because it is equal to n+sod(n) for n = 41375522098 and 41375522107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41375522141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863357 + ... + 910019.

It is an arithmetic number, because the mean of its divisors is an integer number (1249020290).

Almost surely, 241375522144 is an apocalyptic number.

41375522144 is a gapful number since it is divisible by the number (44) 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 41375522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44964730440).

41375522144 is an abundant number, since it is smaller than the sum of its proper divisors (48553938736).

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

41375522144 is a wasteful number, since it uses less digits than its factorization.

41375522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46924 (or 46905 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

It can be divided in two parts, 413 and 75522144, that added together give a palindrome (75522557).

The spelling of 41375522144 in words is "forty-one billion, three hundred seventy-five million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 229 242 352 458 484 916 968 1832 1936 2519 3664 3872 5038 7328 10076 20152 27709 40304 46663 55418 80608 93326 110836 186652 221672 373304 443344 513293 746608 886688 1026586 1493216 2053172 4106344 5646223 8212688 10685827 11292446 16425376 21371654 22584892 42743308 45169784 85486616 90339568 117544097 170973232 180679136 235088194 341946464 470176388 940352776 1292985067 1880705552 2585970134 3761411104 5171940268 10343880536 20687761072 41375522144