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1040344011020 = 225129740105783
BaseRepresentation
bin11110010001110010101…
…01011101000100001100
310200110022100210112101102
433020321111131010030
5114021111031323040
62113532154402232
7135106460121266
oct17107125350414
93613270715342
101040344011020
11371231088566
12149761130378
13771476b8302
14384d25a2b36
151c0dd552515
hexf23955d10c

1040344011020 has 24 divisors (see below), whose sum is σ = 2186406920544. Its totient is φ = 415816747776.

The previous prime is 1040344011017. The next prime is 1040344011041. The reversal of 1040344011020 is 201104430401.

It is a super-2 number, since 2×10403440110202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1040344010983 and 1040344011001.

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, 20026952 + ... + 20078831.

It is an arithmetic number, because the mean of its divisors is an integer number (91100288356).

Almost surely, 21040344011020 is an apocalyptic number.

1040344011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040344011020 is an abundant number, since it is smaller than the sum of its proper divisors (1146062909524).

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

1040344011020 is a wasteful number, since it uses less digits than its factorization.

1040344011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40107089 (or 40107087 counting only the distinct ones).

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

Adding to 1040344011020 its reverse (201104430401), we get a palindrome (1241448441421).

The spelling of 1040344011020 in words is "one trillion, forty billion, three hundred forty-four million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 1297 2594 5188 6485 12970 25940 40105783 80211566 160423132 200528915 401057830 802115660 52017200551 104034401102 208068802204 260086002755 520172005510 1040344011020