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1281038422144 = 2713866388867
BaseRepresentation
bin10010101001000011110…
…101110001000010000000
311112110120202210111100211
4102221003311301002000
5131442031314002034
62420300111123504
7161360216632315
oct22510365610200
94473522714324
101281038422144
1145431587a098
12188335213594
1393a558c02a0
1446007172d0c
15234c9429d64
hex12a43d71080

1281038422144 has 64 divisors (see below), whose sum is σ = 2748729896640. Its totient is φ = 591173600256.

The previous prime is 1281038422133. The next prime is 1281038422171. The reversal of 1281038422144 is 4412248301821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1281038422097 and 1281038422106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14370799 + ... + 14459665.

It is an arithmetic number, because the mean of its divisors is an integer number (42948904635).

Almost surely, 21281038422144 is an apocalyptic number.

It is an amenable number.

1281038422144 is an abundant number, since it is smaller than the sum of its proper divisors (1467691474496).

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

1281038422144 is an equidigital number, since it uses as much as digits as its factorization.

1281038422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97557 (or 97545 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 1281038422144 in words is "one trillion, two hundred eighty-one billion, thirty-eight million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 8663 17326 34652 69304 88867 112619 138608 177734 225238 277216 355468 450476 554432 710936 900952 1108864 1155271 1421872 1801904 2310542 2843744 3603808 4621084 5687488 7207616 9242168 11374976 14415232 18484336 36968672 73937344 147874688 769854821 1539709642 3079419284 6158838568 10008112673 12317677136 20016225346 24635354272 40032450692 49270708544 80064901384 98541417088 160129802768 320259605536 640519211072 1281038422144