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441125012202 = 23743673799619
BaseRepresentation
bin1100110101101010001…
…10011000001011101010
31120011121202112110002220
412122311012120023222
524211411000342302
6534352223534510
743604326510530
oct6326506301352
91504552473086
10441125012202
11160097629796
12715aba5a436
13327a07bb1a4
14174c9d40150
15b71c0574bc
hex66b51982ea

441125012202 has 128 divisors (see below), whose sum is σ = 1050005299200. Its totient is φ = 120934731456.

The previous prime is 441125012183. The next prime is 441125012203. The reversal of 441125012202 is 202210521144.

It is not an unprimeable number, because it can be changed into a prime (441125012203) 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, 45854949 + ... + 45864567.

It is an arithmetic number, because the mean of its divisors is an integer number (8203166400).

Almost surely, 2441125012202 is an apocalyptic number.

441125012202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 441125012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525002649600).

441125012202 is an abundant number, since it is smaller than the sum of its proper divisors (608880286998).

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

441125012202 is a wasteful number, since it uses less digits than its factorization.

441125012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 441125012202 its reverse (202210521144), we get a palindrome (643335533346).

The spelling of 441125012202 in words is "four hundred forty-one billion, one hundred twenty-five million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 67 86 129 134 201 258 301 379 402 469 602 758 903 938 1137 1407 1806 2274 2653 2814 2881 5306 5762 7959 8643 9619 15918 16297 17286 19238 20167 25393 28857 32594 40334 48891 50786 57714 60501 67333 76179 97782 114079 121002 134666 152358 177751 201999 228158 342237 355502 403998 413617 533253 644473 684474 827234 1066506 1091899 1240851 1288946 1933419 2183798 2481702 2895319 3275697 3645601 3866838 4511311 5790638 6551394 7291202 7643293 8685957 9022622 10936803 13533933 15286586 17371914 21873606 22929879 25519207 27067866 27712339 45859758 51038414 55424678 76557621 83137017 153115242 156760843 166274034 193986373 244255267 313521686 387972746 470282529 488510534 581959119 732765801 940565058 1097325901 1163918238 1465531602 1709786869 2194651802 3291977703 3419573738 5129360607 6583955406 10258721214 10502976481 21005952962 31508929443 63017858886 73520835367 147041670734 220562506101 441125012202