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20124442041040 = 245380533661061
BaseRepresentation
bin1001001001101100101100…
…01110000001101011010000
32122020212200222010011220201
410210312112032001223100
510114204324130303130
6110445012510544544
74144641301641151
oct444662616015320
978225628104821
1020124442041040
116459800986357
122310302b08154
13b2c95a86094c
144d8057503928
1524d739ccbbca
hex124d96381ad0

20124442041040 has 40 divisors (see below), whose sum is σ = 46789521482088. Its totient is φ = 8049743485440.

The previous prime is 20124442041031. The next prime is 20124442041127. The reversal of 20124442041040 is 4014024442102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3803779307584 + 16320662733456 = 1950328^2 + 4039884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 30112110 + ... + 30773170.

Almost surely, 220124442041040 is an apocalyptic number.

20124442041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20124442041040 is an abundant number, since it is smaller than the sum of its proper divisors (26665079441048).

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

20124442041040 is a wasteful number, since it uses less digits than its factorization.

20124442041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041607 (or 1041601 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 20124442041040 its reverse (4014024442102), we get a palindrome (24138466483142).

The spelling of 20124442041040 in words is "twenty trillion, one hundred twenty-four billion, four hundred forty-two million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 380533 661061 761066 1322122 1522132 1902665 2644244 3044264 3305305 3805330 5288488 6088528 6610610 7610660 10576976 13221220 15221320 26442440 30442640 52884880 251555525513 503111051026 1006222102052 1257777627565 2012444204104 2515555255130 4024888408208 5031110510260 10062221020520 20124442041040