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41201144520 = 2335735718237
BaseRepresentation
bin100110010111110001…
…111001001011001000
310221100101020000000120
4212113301321023020
51133334443111040
630532203303240
72656000643604
oct462761711310
9127311200016
1041201144520
1116522a76768
127b9a21ab20
133b67b87973
141dcbd18504
15111219b7d0
hex997c792c8

41201144520 has 128 divisors (see below), whose sum is σ = 125531303040. Its totient is φ = 10816174080.

The previous prime is 41201144513. The next prime is 41201144521. The reversal of 41201144520 is 2544110214.

41201144520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41201144521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4997842 + ... + 5006078.

It is an arithmetic number, because the mean of its divisors is an integer number (980713305).

Almost surely, 241201144520 is an apocalyptic number.

41201144520 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 41201144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62765651520).

41201144520 is an abundant number, since it is smaller than the sum of its proper divisors (84330158520).

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

41201144520 is a wasteful number, since it uses less digits than its factorization.

41201144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895 (or 8891 counting only the distinct ones).

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

Adding to 41201144520 its reverse (2544110214), we get a palindrome (43745254734).

The spelling of 41201144520 in words is "forty-one billion, two hundred one million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 571 584 730 876 1095 1142 1460 1713 1752 2190 2284 2855 2920 3426 4380 4568 5710 6852 8237 8565 8760 11420 13704 16474 17130 22840 24711 32948 34260 41185 41683 49422 65896 68520 82370 83366 98844 123555 125049 164740 166732 197688 208415 247110 250098 329480 333464 416830 494220 500196 601301 625245 833660 988440 1000392 1202602 1250490 1667320 1803903 2405204 2500980 3006505 3607806 4703327 4810408 5001960 6013010 7215612 9019515 9406654 12026020 14109981 14431224 18039030 18813308 23516635 24052040 28219962 36078060 37626616 47033270 56439924 70549905 72156120 94066540 112879848 141099810 188133080 282199620 343342871 564399240 686685742 1030028613 1373371484 1716714355 2060057226 2746742968 3433428710 4120114452 5150143065 6866857420 8240228904 10300286130 13733714840 20600572260 41201144520