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41101011440 = 2453316472399
BaseRepresentation
bin100110010001110011…
…111010100111110000
310221002101210201020222
4212101303322213300
51133133324331230
630514225152212
72653343555456
oct462163724760
9127071721228
1041101011440
11164814a4255
127b7078b668
133b501c8718
141dbc8d09d6
1511084bc6e5
hex991cfa9f0

41101011440 has 80 divisors (see below), whose sum is σ = 96036710400. Its totient is φ = 16358580480.

The previous prime is 41101011437. The next prime is 41101011461. The reversal of 41101011440 is 4411010114.

It is a tau number, because it is divible by the number of its divisors (80).

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, 17131361 + ... + 17133759.

It is an arithmetic number, because the mean of its divisors is an integer number (1200458880).

Almost surely, 241101011440 is an apocalyptic number.

41101011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41101011440 is an abundant number, since it is smaller than the sum of its proper divisors (54935698960).

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

41101011440 is a wasteful number, since it uses less digits than its factorization.

41101011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 41101011440 its reverse (4411010114), we get a palindrome (45512021554).

The spelling of 41101011440 in words is "forty-one billion, one hundred one million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 331 647 662 1294 1324 1655 2399 2588 2648 3235 3310 4798 5176 5296 6470 6620 9596 10352 11995 12940 13240 19192 23990 25880 26480 38384 47980 51760 95960 191920 214157 428314 794069 856628 1070785 1552153 1588138 1713256 2141570 3104306 3176276 3426512 3970345 4283140 6208612 6352552 7760765 7940690 8566280 12417224 12705104 15521530 15881380 17132560 24834448 31043060 31762760 62086120 63525520 124172240 513762643 1027525286 2055050572 2568813215 4110101144 5137626430 8220202288 10275252860 20550505720 41101011440