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1346141505540 = 2235131725822443
BaseRepresentation
bin10011100101101100010…
…010010100100000000100
311202200121220201210111210
4103211230102110200010
5134023344211134130
62510224152131420
7166153433001216
oct23455422244004
94680556653453
101346141505540
11479993871247
12198a84096b70
1399c2c65c140
144922167c5b6
1525039b975b0
hex1396c494804

1346141505540 has 48 divisors (see below), whose sum is σ = 4059134388288. Its totient is φ = 331357908864.

The previous prime is 1346141505481. The next prime is 1346141505617. The reversal of 1346141505540 is 455051416431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 862910442 + ... + 862912001.

It is an arithmetic number, because the mean of its divisors is an integer number (84565299756).

Almost surely, 21346141505540 is an apocalyptic number.

1346141505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346141505540 is an abundant number, since it is smaller than the sum of its proper divisors (2712992882748).

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

1346141505540 is a wasteful number, since it uses less digits than its factorization.

1346141505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725822468 (or 1725822466 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 1346141505540 in words is "one trillion, three hundred forty-six billion, one hundred forty-one million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1725822443 3451644886 5177467329 6903289772 8629112215 10354934658 17258224430 20709869316 22435691759 25887336645 34516448860 44871383518 51774673290 67307075277 89742767036 103549346580 112178458795 134614150554 224356917590 269228301108 336535376385 448713835180 673070752770 1346141505540