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71428071429 = 331113233721739
BaseRepresentation
bin100001010000101110…
…0011110000000000101
320211100221111222121000
41002201130132000011
52132241041241204
652451423243513
75106024406131
oct1024134360005
9224327458530
1071428071429
11283243142a0
1211a15149599
136974274330
1436585543c1
151cd0b9d039
hex10a171e005

71428071429 has 128 divisors (see below), whose sum is σ = 133236633600. Its totient is φ = 37187631360.

The previous prime is 71428071409. The next prime is 71428071467. The reversal of 71428071429 is 92417082417.

71428071429 is a `hidden beast` number, since 7 + 142 + 80 + 7 + 1 + 429 = 666.

It is not a de Polignac number, because 71428071429 - 219 = 71427547141 is a prime.

It is a super-2 number, since 2×714280714292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71428071409) by changing a digit.

It is a Kaprekar number, because its square (5101969388066326102041) can be partitioned into two parts whose sum is 71428071429.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3274842 + ... + 3296580.

It is an arithmetic number, because the mean of its divisors is an integer number (1040911200).

Almost surely, 271428071429 is an apocalyptic number.

71428071429 is the 142857-th nonagonal number.

It is an amenable number.

71428071429 is a deficient number, since it is larger than the sum of its proper divisors (61808562171).

71428071429 is a wasteful number, since it uses less digits than its factorization.

71428071429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21832 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 71428071429 in words is "seventy-one billion, four hundred twenty-eight million, seventy-one thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 13 23 27 33 37 39 69 99 111 117 143 207 253 297 299 333 351 407 429 481 621 759 851 897 999 1221 1287 1443 2277 2553 2691 3289 3663 3861 4329 5291 6831 7659 8073 9361 9867 10989 11063 12987 15873 21739 22977 28083 29601 33189 47619 65217 84249 88803 99567 121693 142857 195651 239129 252747 282607 298701 365079 499997 586953 717387 804343 847821 1095237 1499991 2152161 2413029 2543463 3108677 3285711 4499973 5499967 6456483 6499961 7239087 7630389 8847773 9326031 10456459 13499919 16499901 18499889 19499883 21717261 26543319 27978093 31369377 49499703 55499667 58499649 71499571 79629957 83934279 94108131 115021049 148499109 166499001 175498947 203498779 214498713 238889871 240498557 282324393 345063147 499497003 610496337 643496139 721495671 1035189441 1831489011 1930488417 2164487013 2645484127 3105568323 5494467033 6493461039 7936452381 23809357143 71428071429