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1346754682140 = 2235715271209977
BaseRepresentation
bin10011100110010000110…
…101011001110100011100
311202202012122112101200020
4103212100311121310130
5134031123144312030
62510405054432140
7166204556630130
oct23462065316434
94682178471606
101346754682140
1147a1789a996a
12199015502650
1399cc96bc42a
144927cc953c0
1525073919510
hex13990d59d1c

1346754682140 has 96 divisors (see below), whose sum is σ = 4309917717504. Its totient is φ = 307808017920.

The previous prime is 1346754682129. The next prime is 1346754682171. The reversal of 1346754682140 is 412864576431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6308832 + ... + 6518808.

It is an arithmetic number, because the mean of its divisors is an integer number (44894976224).

Almost surely, 21346754682140 is an apocalyptic number.

1346754682140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346754682140 is an abundant number, since it is smaller than the sum of its proper divisors (2963163035364).

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

1346754682140 is a wasteful number, since it uses less digits than its factorization.

1346754682140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225267 (or 225265 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1346754682140 in words is "one trillion, three hundred forty-six billion, seven hundred fifty-four million, six hundred eighty-two thousand, one 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 15271 30542 45813 61084 76355 91626 106897 152710 183252 209977 213794 229065 305420 320691 419954 427588 458130 534485 629931 641382 839908 916260 1049885 1068970 1259862 1282764 1469839 1603455 2099770 2137940 2519724 2939678 3149655 3206910 4199540 4409517 5879356 6299310 6413820 7349195 8819034 12598620 14698390 17638068 22047585 29396780 44095170 88190340 3206558767 6413117534 9619676301 12826235068 16032793835 19239352602 22445911369 32065587670 38478705204 44891822738 48098381505 64131175340 67337734107 89783645476 96196763010 112229556845 134675468214 192393526020 224459113690 269350936428 336688670535 448918227380 673377341070 1346754682140