Search a number
-
+
41481960192 = 28336319511
BaseRepresentation
bin100110101000100001…
…000111101100000000
310222001221121220201000
4212220201013230000
51134423340211232
631020114212000
72665650562311
oct465041075400
9128057556630
1041481960192
1116657537732
128058284000
133bb10c969a
142017336608
15112bb6b27c
hex9a8847b00

41481960192 has 144 divisors (see below), whose sum is σ = 122876776960. Its totient is φ = 13803955200.

The previous prime is 41481960187. The next prime is 41481960211. The reversal of 41481960192 is 29106918414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356717 + ... + 4366227.

Almost surely, 241481960192 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 41481960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61438388480).

41481960192 is an abundant number, since it is smaller than the sum of its proper divisors (81394816768).

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

41481960192 is an equidigital number, since it uses as much as digits as its factorization.

41481960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 41481960192 in words is "forty-one billion, four hundred eighty-one million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 631 768 864 1152 1262 1728 1893 2304 2524 3456 3786 5048 5679 6912 7572 9511 10096 11358 15144 17037 19022 20192 22716 28533 30288 34074 38044 40384 45432 57066 60576 68148 76088 80768 85599 90864 114132 121152 136296 152176 161536 171198 181728 228264 242304 256797 272592 304352 342396 363456 456528 484608 513594 545184 608704 684792 726912 913056 1027188 1090368 1217408 1369584 1453824 1826112 2054376 2180736 2434816 2739168 3652224 4108752 4361472 5478336 6001441 7304448 8217504 10956672 12002882 16435008 18004323 21913344 24005764 32870016 36008646 48011528 54012969 65740032 72017292 96023056 108025938 144034584 162038907 192046112 216051876 288069168 324077814 384092224 432103752 576138336 648155628 768184448 864207504 1152276672 1296311256 1536368896 1728415008 2304553344 2592622512 3456830016 4609106688 5185245024 6913660032 10370490048 13827320064 20740980096 41481960192