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2041213014240 = 253510341286671
BaseRepresentation
bin11101101101000001110…
…001101101000011100000
321020010201122101220011220
4131231001301231003200
5231420401012423430
64201415330535040
7300321106226361
oct35550161550340
97203648356156
102041213014240
11717745594434
1228b726137480
1311a640a1692a
1470b1c1b7b68
153816b221110
hex1db41c6d0e0

2041213014240 has 96 divisors (see below), whose sum is σ = 6492246598656. Its totient is φ = 539038763520.

The previous prime is 2041213014199. The next prime is 2041213014299. The reversal of 2041213014240 is 424103121402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2041213014240.

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, 20593896 + ... + 20692775.

It is an arithmetic number, because the mean of its divisors is an integer number (67627568736).

Almost surely, 22041213014240 is an apocalyptic number.

2041213014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041213014240 is an abundant number, since it is smaller than the sum of its proper divisors (4451033584416).

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

2041213014240 is a wasteful number, since it uses less digits than its factorization.

2041213014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41286792 (or 41286784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2041213014240 its reverse (424103121402), we get a palindrome (2465316135642).

The spelling of 2041213014240 in words is "two trillion, forty-one billion, two hundred thirteen million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 41286671 82573342 123860013 165146684 206433355 247720026 330293368 412866710 495440052 619300065 660586736 825733420 990880104 1238600130 1321173472 1651466840 1981760208 2477200260 3302933680 3963520416 4252527113 4954400520 6605867360 8505054226 9908801040 12757581339 17010108452 19817602080 21262635565 25515162678 34020216904 42525271130 51030325356 63787906695 68040433808 85050542260 102060650712 127575813390 136080867616 170101084520 204121301424 255151626780 340202169040 408242602848 510303253560 680404338080 1020606507120 2041213014240