Search a number
-
+
41750953230 = 23572139204331
BaseRepresentation
bin100110111000100011…
…001111110100001110
310222202200210011210010
4212320203033310032
51141001221000410
631102523454050
73005425150500
oct467043176416
9128680704703
1041750953230
1116785363128
128112387326
133c24a5c06c
142040d57d70
1511455a2c20
hex9b88cfd0e

41750953230 has 96 divisors (see below), whose sum is σ = 117400993920. Its totient is φ = 9474373440.

The previous prime is 41750953187. The next prime is 41750953249. The reversal of 41750953230 is 3235905714.

It is a happy number.

It is a super-3 number, since 3×417509532303 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102165 + ... + 306495.

It is an arithmetic number, because the mean of its divisors is an integer number (1222927020).

Almost surely, 241750953230 is an apocalyptic number.

It is a pronic number, being equal to 204330×204331.

It is a practical number, because each smaller number is the sum of distinct divisors of 41750953230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700496960).

41750953230 is an abundant number, since it is smaller than the sum of its proper divisors (75650040690).

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

41750953230 is a wasteful number, since it uses less digits than its factorization.

41750953230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204494 (or 204487 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 41750953230 in words is "forty-one billion, seven hundred fifty million, nine hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 139 147 210 245 278 294 417 490 695 735 834 973 1390 1470 1946 2085 2919 4170 4865 5838 6811 9730 13622 14595 20433 29190 34055 40866 68110 102165 204330 204331 408662 612993 1021655 1225986 1430317 2043310 2860634 3064965 4290951 6129930 7151585 8581902 10012219 14303170 20024438 21454755 28402009 30036657 42909510 50061095 56804018 60073314 85206027 100122190 142010045 150183285 170412054 198814063 284020090 300366570 397628126 426030135 596442189 852060270 994070315 1192884378 1391698441 1988140630 2783396882 2982210945 4175095323 5964421890 6958492205 8350190646 13916984410 20875476615 41750953230