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41143321320 = 23351275994507
BaseRepresentation
bin100110010100010101…
…010100001011101000
310221012100102021111120
4212110111110023220
51133230142240240
630522340055240
72654366314053
oct462425241350
9127170367446
1041143321320
11164a33722a2
127b82994520
133b58bc075a
141dc4385a9a
15110c078ad0
hex9945542e8

41143321320 has 128 divisors (see below), whose sum is σ = 124637184000. Its totient is φ = 10864578816.

The previous prime is 41143321291. The next prime is 41143321327. The reversal of 41143321320 is 2312334114.

It is a happy number.

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 (41143321327) 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, 9126507 + ... + 9131013.

It is an arithmetic number, because the mean of its divisors is an integer number (973728000).

Almost surely, 241143321320 is an apocalyptic number.

41143321320 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 41143321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62318592000).

41143321320 is an abundant number, since it is smaller than the sum of its proper divisors (83493862680).

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

41143321320 is a wasteful number, since it uses less digits than its factorization.

41143321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41143321320 its reverse (2312334114), we get a palindrome (43455655434).

The spelling of 41143321320 in words is "forty-one billion, one hundred forty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 599 635 762 1016 1198 1270 1524 1797 1905 2396 2540 2995 3048 3594 3810 4507 4792 5080 5990 7188 7620 8985 9014 11980 13521 14376 15240 17970 18028 22535 23960 27042 35940 36056 45070 54084 67605 71880 76073 90140 108168 135210 152146 180280 228219 270420 304292 380365 456438 540840 572389 608584 760730 912876 1141095 1144778 1521460 1717167 1825752 2282190 2289556 2699693 2861945 3042920 3434334 4564380 4579112 5399386 5723890 6868668 8099079 8585835 9128760 10798772 11447780 13498465 13737336 16198158 17171670 21597544 22895560 26996930 32396316 34343340 40495395 53993860 64792632 68686680 80990790 107987720 161981580 323963160 342861011 685722022 1028583033 1371444044 1714305055 2057166066 2742888088 3428610110 4114332132 5142915165 6857220220 8228664264 10285830330 13714440440 20571660660 41143321320