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41001342140 = 225113120292963
BaseRepresentation
bin100110001011110111…
…101101010010111100
310220211110020222200102
4212023313231102330
51132432320422030
630500305020232
72651023441433
oct461367552274
9126743228612
1041001342140
1116430209230
127b43324678
133b3566c5c5
141dad58811a
1510ee880c45
hex98bded4bc

41001342140 has 96 divisors (see below), whose sum is σ = 97040885760. Its totient is φ = 14416646400.

The previous prime is 41001342131. The next prime is 41001342209. The reversal of 41001342140 is 4124310014.

It is a super-2 number, since 2×410013421402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13836299 + ... + 13839261.

It is an arithmetic number, because the mean of its divisors is an integer number (1010842560).

Almost surely, 241001342140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48520442880).

41001342140 is an abundant number, since it is smaller than the sum of its proper divisors (56039543620).

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

41001342140 is a wasteful number, since it uses less digits than its factorization.

41001342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41001342140 its reverse (4124310014), we get a palindrome (45125652154).

The spelling of 41001342140 in words is "forty-one billion, one million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 2029 2963 3410 4058 5926 6820 8116 10145 11852 14815 20290 22319 29630 32593 40580 44638 59260 62899 65186 89276 91853 111595 125798 130372 162965 183706 223190 251596 314495 325930 367412 446380 459265 628990 651860 691889 918530 1010383 1257980 1383778 1837060 2020766 2767556 3459445 4041532 5051915 6011927 6918890 10103830 12023854 13837780 20207660 24047708 30059635 60119270 66131197 120238540 132262394 186369737 264524788 330655985 372739474 661311970 745478948 931848685 1322623940 1863697370 2050067107 3727394740 4100134214 8200268428 10250335535 20500671070 41001342140