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1008340131540 = 223572400809837
BaseRepresentation
bin11101010110001011100…
…00010101111011010100
310120101200221212000010210
432223011300111323110
5113010040033202130
62051120340245420
7132564415462230
oct16530560257324
93511627760123
101008340131540
113596a8798195
1214350b0a0870
137411711b111
1436b37d6d5c0
151b368a4b5b0
hexeac5c15ed4

1008340131540 has 48 divisors (see below), whose sum is σ = 3226688422272. Its totient is φ = 230477744256.

The previous prime is 1008340131523. The next prime is 1008340131577. The reversal of 1008340131540 is 451310438001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1008340131498 and 1008340131507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200404499 + ... + 1200405338.

It is an arithmetic number, because the mean of its divisors is an integer number (67222675464).

Almost surely, 21008340131540 is an apocalyptic number.

1008340131540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008340131540 is an abundant number, since it is smaller than the sum of its proper divisors (2218348290732).

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

1008340131540 is a wasteful number, since it uses less digits than its factorization.

1008340131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400809856 (or 2400809854 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1008340131540 its reverse (451310438001), we get a palindrome (1459650569541).

The spelling of 1008340131540 in words is "one trillion, eight billion, three hundred forty million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2400809837 4801619674 7202429511 9603239348 12004049185 14404859022 16805668859 24008098370 28809718044 33611337718 36012147555 48016196740 50417006577 67222675436 72024295110 84028344295 100834013154 144048590220 168056688590 201668026308 252085032885 336113377180 504170065770 1008340131540