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41110141120 = 2652353105389
BaseRepresentation
bin100110010010010110…
…101111100011000000
310221010000222112211021
4212102112233203000
51133143144003440
630515152555224
72653514301556
oct462226574300
9127100875737
1041110141120
111648666a544
127b73852b14
133b520740b9
141dbdbc9bd6
1511091c284a
hex9925af8c0

41110141120 has 112 divisors (see below), whose sum is σ = 104078105280. Its totient is φ = 15432175616.

The previous prime is 41110141087. The next prime is 41110141169. The reversal of 41110141120 is 2114101114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41110141094 and 41110141103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337386 + ... + 442774.

Almost surely, 241110141120 is an apocalyptic number.

41110141120 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 41110141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52039052640).

41110141120 is an abundant number, since it is smaller than the sum of its proper divisors (62967964160).

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

41110141120 is a wasteful number, since it uses less digits than its factorization.

41110141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105482 (or 105472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 41110141120 its reverse (2114101114), we get a palindrome (43224242234).

The spelling of 41110141120 in words is "forty-one billion, one hundred ten million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 92 106 115 160 184 212 230 265 320 368 424 460 530 736 848 920 1060 1219 1472 1696 1840 2120 2438 3392 3680 4240 4876 6095 7360 8480 9752 12190 16960 19504 24380 39008 48760 78016 97520 105389 195040 210778 390080 421556 526945 843112 1053890 1686224 2107780 2423947 3372448 4215560 4847894 5585617 6744896 8431120 9695788 11171234 12119735 16862240 19391576 22342468 24239470 27928085 33724480 38783152 44684936 48478940 55856170 77566304 89369872 96957880 111712340 128469191 155132608 178739744 193915760 223424680 256938382 357479488 387831520 446849360 513876764 642345955 775663040 893698720 1027753528 1284691910 1787397440 2055507056 2569383820 4111014112 5138767640 8222028224 10277535280 20555070560 41110141120