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41001220320 = 2535433197273
BaseRepresentation
bin100110001011110111…
…001111100011100000
310220211110000210120120
4212023313033203200
51132432303022240
630500302240240
72651022423324
oct461367174340
9126743023516
1041001220320
1116430135755
127b43286080
133b35629018
141dad555984
1510ee859ad0
hex98bdcf8e0

41001220320 has 96 divisors (see below), whose sum is σ = 129452776992. Its totient is φ = 10908352512.

The previous prime is 41001220303. The next prime is 41001220339. The reversal of 41001220320 is 2302210014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×410012203202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41001220320.

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 15 ways as a sum of consecutive naturals, for example, 109204 + ... + 306476.

It is an arithmetic number, because the mean of its divisors is an integer number (1348466427).

Almost surely, 241001220320 is an apocalyptic number.

41001220320 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 41001220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64726388496).

41001220320 is an abundant number, since it is smaller than the sum of its proper divisors (88451556672).

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

41001220320 is a wasteful number, since it uses less digits than its factorization.

41001220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197724 (or 197716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41001220320 its reverse (2302210014), we get a palindrome (43303430334).

The spelling of 41001220320 in words is "forty-one billion, one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 433 480 866 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 13856 17320 20784 25980 34640 41568 51960 69280 103920 197273 207840 394546 591819 789092 986365 1183638 1578184 1972730 2367276 2959095 3156368 3945460 4734552 5918190 6312736 7890920 9469104 11836380 15781840 18938208 23672760 31563680 47345520 85419209 94691040 170838418 256257627 341676836 427096045 512515254 683353672 854192090 1025030508 1281288135 1366707344 1708384180 2050061016 2562576270 2733414688 3416768360 4100122032 5125152540 6833536720 8200244064 10250305080 13667073440 20500610160 41001220320