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13140312035344 = 2413419761198127
BaseRepresentation
bin1011111100110111011110…
…1000011001000000010000
31201112012102221100110001021
42333031313220121000100
53210242324340112334
643540324230245224
72524233116254624
oct277156750310020
951465387313037
1013140312035344
11420685863868a
12158281bab6814
137441840a02c0
14335dccc7b184
1517bc229933b4
hexbf377a19010

13140312035344 has 80 divisors (see below), whose sum is σ = 27519456142080. Its totient is φ = 6042304097280.

The previous prime is 13140312035321. The next prime is 13140312035447. The reversal of 13140312035344 is 44353021304131.

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, 66223609 + ... + 66421735.

It is an arithmetic number, because the mean of its divisors is an integer number (343993201776).

Almost surely, 213140312035344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140312035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759728071040).

13140312035344 is an abundant number, since it is smaller than the sum of its proper divisors (14379144106736).

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

13140312035344 is a wasteful number, since it uses less digits than its factorization.

13140312035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199328 (or 199322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 13140312035344 its reverse (44353021304131), we get a palindrome (57493333339475).

The spelling of 13140312035344 in words is "thirteen trillion, one hundred forty billion, three hundred twelve million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 419 761 838 1522 1676 3044 3352 5447 6088 6704 9893 10894 12176 19786 21788 39572 43576 79144 87152 158288 198127 318859 396254 637718 792508 1275436 1585016 2550872 2575651 3170032 4145167 5101744 5151302 8290334 10302604 16580668 20605208 33161336 41210416 66322672 83015213 150774647 166030426 301549294 332060852 603098588 664121704 1079197769 1206197176 1328243408 1960070411 2158395538 2412394352 3920140822 4316791076 7840281644 8633582152 15680563288 17267164304 31361126576 63174577093 126349154186 252698308372 505396616744 821269502209 1010793233488 1642539004418 3285078008836 6570156017672 13140312035344