Search a number
-
+
41331134010 = 23547831791973
BaseRepresentation
bin100110011111100001…
…110000111000111010
310221200102211011002010
4212133201300320322
51134121232242020
630553125350350
72662136561655
oct463741607072
9127612734063
1041331134010
111658a3907a1
1280158683b6
133b88a9b71a
1420012b489c
15111d7c6de0
hex99f870e3a

41331134010 has 128 divisors (see below), whose sum is σ = 103150817280. Its totient is φ = 10592258816.

The previous prime is 41331133973. The next prime is 41331134011. The reversal of 41331134010 is 1043113314.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41331134011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20947384 + ... + 20949356.

It is an arithmetic number, because the mean of its divisors is an integer number (805865760).

Almost surely, 241331134010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41331134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51575408640).

41331134010 is an abundant number, since it is smaller than the sum of its proper divisors (61819683270).

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

41331134010 is a wasteful number, since it uses less digits than its factorization.

41331134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 41331134010 its reverse (1043113314), we get a palindrome (42374247324).

The spelling of 41331134010 in words is "forty-one billion, three hundred thirty-one million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 83 94 141 166 179 235 249 282 358 415 470 498 537 705 830 895 1074 1245 1410 1790 1973 2490 2685 3901 3946 5370 5919 7802 8413 9865 11703 11838 14857 16826 19505 19730 23406 25239 29595 29714 39010 42065 44571 50478 58515 59190 74285 84130 89142 92731 117030 126195 148570 163759 185462 222855 252390 278193 327518 353167 445710 463655 491277 556386 698279 706334 818795 927310 982554 1059501 1390965 1396558 1637590 1765835 2094837 2119002 2456385 2781930 3491395 3531670 4189674 4912770 5297505 6982790 7696673 10474185 10595010 15393346 16598849 20948370 23090019 29312861 33197698 38483365 46180038 49796547 58625722 76966730 82994245 87938583 99593094 115450095 146564305 165988490 175877166 230900190 248982735 293128610 439692915 497965470 879385830 1377704467 2755408934 4133113401 6888522335 8266226802 13777044670 20665567005 41331134010