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41141102240 = 2557179205213
BaseRepresentation
bin100110010100001100…
…110110011010100000
310221012012020112111102
4212110030312122200
51133224110232430
630522220333532
72654341412330
oct462414663240
9127165215442
1041141102240
11164a2097047
127b820a42a8
133b585c46a4
141dc3d690c0
15110bc8b345
hex9943366a0

41141102240 has 96 divisors (see below), whose sum is σ = 111702084480. Its totient is φ = 14026650624.

The previous prime is 41141102221. The next prime is 41141102243. The reversal of 41141102240 is 4220114114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41141102243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97874 + ... + 303086.

It is an arithmetic number, because the mean of its divisors is an integer number (1163563380).

Almost surely, 241141102240 is an apocalyptic number.

41141102240 is a gapful number since it is divisible by the number (40) 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 41141102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851042240).

41141102240 is an abundant number, since it is smaller than the sum of its proper divisors (70560982240).

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

41141102240 is a wasteful number, since it uses less digits than its factorization.

41141102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205414 (or 205406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41141102240 its reverse (4220114114), we get a palindrome (45361216354).

The spelling of 41141102240 in words is "forty-one billion, one hundred forty-one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 179 224 280 358 560 716 895 1120 1253 1432 1790 2506 2864 3580 5012 5728 6265 7160 10024 12530 14320 20048 25060 28640 40096 50120 100240 200480 205213 410426 820852 1026065 1436491 1641704 2052130 2872982 3283408 4104260 5745964 6566816 7182455 8208520 11491928 14364910 16417040 22983856 28729820 32834080 36733127 45967712 57459640 73466254 114919280 146932508 183665635 229838560 257131889 293865016 367331270 514263778 587730032 734662540 1028527556 1175460064 1285659445 1469325080 2057055112 2571318890 2938650160 4114110224 5142637780 5877300320 8228220448 10285275560 20570551120 41141102240