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13140343513414 = 21317294143158013
BaseRepresentation
bin1011111100110111100110…
…0000011110000101000110
31201112012112010120200211201
42333031321200132011012
53210242410414412124
643540331313053114
72524233650650465
oct277157140360506
951465463520751
1013140343513414
114206874388617
12158282a55719a
1374418a771c90
14335dd31129dc
1517bc25610144
hexbf37981e146

13140343513414 has 128 divisors (see below), whose sum is σ = 23873104442880. Its totient is φ = 5364207206400.

The previous prime is 13140343513391. The next prime is 13140343513441. The reversal of 13140343513414 is 41431534304131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226477872 + ... + 226535884.

It is an arithmetic number, because the mean of its divisors is an integer number (186508628460).

Almost surely, 213140343513414 is an apocalyptic number.

13140343513414 is a deficient number, since it is larger than the sum of its proper divisors (10732760929466).

13140343513414 is a wasteful number, since it uses less digits than its factorization.

13140343513414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58546.

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 13140343513414 its reverse (41431534304131), we get a palindrome (54571877817545).

The spelling of 13140343513414 in words is "thirteen trillion, one hundred forty billion, three hundred forty-three million, five hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 13 17 26 29 34 41 58 82 221 377 431 442 493 533 697 754 862 986 1066 1189 1394 2378 5603 6409 7327 9061 11206 12499 12818 14654 15457 17671 18122 20213 24998 30914 35342 40426 58013 95251 116026 162487 190502 212483 229723 262769 300407 324974 424966 459446 512459 525538 600814 754169 986221 1024918 1508338 1682377 1972442 2378533 2762279 3364754 3905291 4757066 5524558 6661967 7810582 8711803 12820873 13323934 17423606 21870901 25003603 25641746 28600409 30920929 40435061 43741802 50007206 57200818 61841858 68977457 80870122 113253439 137954914 226506878 325046839 371805317 425061251 525655793 650093678 725104487 743610634 850122502 896706941 1025147723 1051311586 1172616769 1450208974 1793413882 2050295446 2345233538 5525796263 9426358331 11051592526 12326776279 13326920399 15244017997 17427511291 18852716662 24653552558 26653840798 29729283967 30488035994 34855022582 59458567934 160248091627 226557646783 320496183254 386480691571 453115293566 505397827439 772961383142 1010795654878 6570171756707 13140343513414