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13438013202939 = 3133173973075113
BaseRepresentation
bin1100001110001100100000…
…0000001110000111111011
31202120122212020121200120110
43003203020000032013323
53230132022334443224
644325201003355403
72554602331401063
oct303431000160773
952518766550513
1013438013202939
114311036141096
121610463522b63
13766278875340
143465909763a3
15184848411929
hexc38c800e1fb

13438013202939 has 128 divisors (see below), whose sum is σ = 20469500305408. Its totient is φ = 7784818606080.

The previous prime is 13438013202917. The next prime is 13438013202947. The reversal of 13438013202939 is 93920231083431.

It is not a de Polignac number, because 13438013202939 - 27 = 13438013202811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13438013202959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2628202647 + ... + 2628207759.

It is an arithmetic number, because the mean of its divisors is an integer number (159917971136).

Almost surely, 213438013202939 is an apocalyptic number.

13438013202939 is a deficient number, since it is larger than the sum of its proper divisors (7031487102469).

13438013202939 is a wasteful number, since it uses less digits than its factorization.

13438013202939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637.

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 13438013202939 in words is "thirteen trillion, four hundred thirty-eight billion, thirteen million, two hundred two thousand, nine hundred thirty-nine".

Divisors: 1 3 13 31 39 73 93 97 219 291 307 403 921 949 1209 1261 2263 2847 3007 3783 3991 5113 6789 7081 9021 9517 11973 15339 21243 22411 28551 29419 29779 39091 66469 67233 88257 89337 92053 117273 123721 158503 199407 219511 276159 291343 371163 373249 387127 475509 495961 658533 694741 874029 923149 1119747 1161381 1487883 1569691 2060539 2084223 2173867 2769447 2853643 4709073 4852237 6181617 6447493 6521601 8560929 9031633 11570719 12000937 14556711 15374791 19342479 20405983 27094899 28260271 34712157 36002811 36205153 46124373 48660421 61217949 67389877 84780813 108615459 114587443 145981263 150419347 152260027 199872283 202169631 343762329 451258041 456780081 470666989 599616849 632585473 876068401 1122359743 1412000967 1489636759 1897756419 1979380351 2628205203 3367079229 3552210733 4468910277 4720060837 5938141053 10656632199 11114981971 14160182511 14590676659 33344945913 43772029977 46178739529 61360790881 138536218587 144494765623 184082372643 344564441101 433484296869 1033693323303 4479337734313 13438013202939