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13435113142 = 211192337179211
BaseRepresentation
bin11001000001100101…
…11000111010110110
31021200022112110111001
430200302320322312
5210003342110032
610101053033514
7653635402033
oct144062707266
937608473431
1013435113142
1157748533a0
12272b48589a
1313615886b9
1491647038a
1553974e3e7
hex320cb8eb6

13435113142 has 128 divisors (see below), whose sum is σ = 25057382400. Its totient is φ = 5328892800.

The previous prime is 13435113121. The next prime is 13435113151. The reversal of 13435113142 is 24131153431.

13435113142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134351131422 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13435113142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63673417 + ... + 63673627.

It is an arithmetic number, because the mean of its divisors is an integer number (195760800).

Almost surely, 213435113142 is an apocalyptic number.

13435113142 is a deficient number, since it is larger than the sum of its proper divisors (11622269258).

13435113142 is a wasteful number, since it uses less digits than its factorization.

13435113142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its digits is 4320, while the sum is 28.

Adding to 13435113142 its reverse (24131153431), we get a palindrome (37566266573).

The spelling of 13435113142 in words is "thirteen billion, four hundred thirty-five million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 11 19 22 23 37 38 46 74 179 209 211 253 358 407 418 422 437 506 703 814 851 874 1406 1702 1969 2321 3401 3938 4009 4117 4642 4807 4853 6623 6802 7733 7807 8018 8234 9361 9614 9706 13246 15466 15614 16169 18722 32338 37411 37769 44099 45287 53383 72853 74822 75538 78223 85877 88198 90574 92207 106766 125837 145706 148333 152329 156446 171754 177859 179561 184414 251674 296666 304658 355718 359122 415459 717611 830918 860453 868687 1014277 1384207 1397453 1435222 1631663 1675619 1720906 1737374 1975171 2028554 2768414 2794906 2894251 3263326 3351238 3411659 3950342 5788502 6823318 7893721 9555557 15371983 15787442 16505053 19111114 26551607 30743966 31836761 32141419 33010106 37528249 53103214 63673522 64282838 75056498 181555583 292067677 353555609 363111166 584135354 610686961 707111218 1221373922 6717556571 13435113142