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41078214640 = 2452935350159
BaseRepresentation
bin100110010000011100…
…111100111111110000
310221000210220111221001
4212100130330333300
51133112010332030
630512052411344
72652646030501
oct462034747760
9127023814831
1041078214640
111646a643721
127b65016b54
133b485762a8
141db9878ba8
1511064b7cca
hex99073cff0

41078214640 has 80 divisors (see below), whose sum is σ = 99082051200. Its totient is φ = 15819431936.

The previous prime is 41078214623. The next prime is 41078214701. The reversal of 41078214640 is 4641287014.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41078214640.

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, 793881 + ... + 844039.

It is an arithmetic number, because the mean of its divisors is an integer number (1238525640).

Almost surely, 241078214640 is an apocalyptic number.

41078214640 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 41078214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49541025600).

41078214640 is an abundant number, since it is smaller than the sum of its proper divisors (58003836560).

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

41078214640 is a wasteful number, since it uses less digits than its factorization.

41078214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50554 (or 50548 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 41078214640 in words is "forty-one billion, seventy-eight million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 353 464 580 706 1160 1412 1765 2320 2824 3530 5648 7060 10237 14120 20474 28240 40948 50159 51185 81896 100318 102370 163792 200636 204740 250795 401272 409480 501590 802544 818960 1003180 1454611 2006360 2909222 4012720 5818444 7273055 11636888 14546110 17706127 23273776 29092220 35412254 58184440 70824508 88530635 116368880 141649016 177061270 283298032 354122540 513477683 708245080 1026955366 1416490160 2053910732 2567388415 4107821464 5134776830 8215642928 10269553660 20539107320 41078214640