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1390406427774 = 234713372549081
BaseRepresentation
bin10100001110111010101…
…011100110010001111110
311220220212210222211110000
4110032322223212101332
5140240023021142044
62542424403055130
7202311365430510
oct24167253462176
94826783884400
101390406427774
114967391a9501
121a55783714a6
13a116519b910
144b420441bb0
152627acd4d69
hex143baae647e

1390406427774 has 160 divisors (see below), whose sum is σ = 3938148156096. Its totient is φ = 356789629440.

The previous prime is 1390406427769. The next prime is 1390406427821. The reversal of 1390406427774 is 4777246040931.

It is a happy number.

1390406427774 is a `hidden beast` number, since 13 + 90 + 406 + 4 + 2 + 77 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1390406427774.

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 79 ways as a sum of consecutive naturals, for example, 729087 + ... + 1819994.

Almost surely, 21390406427774 is an apocalyptic number.

1390406427774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1390406427774 is an abundant number, since it is smaller than the sum of its proper divisors (2547741728322).

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

1390406427774 is a wasteful number, since it uses less digits than its factorization.

1390406427774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549152 (or 2549143 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 1390406427774 in words is "one trillion, three hundred ninety billion, four hundred six million, four hundred twenty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 81 91 111 117 126 162 182 189 222 234 259 273 333 351 378 481 518 546 567 666 702 777 819 962 999 1053 1134 1443 1554 1638 1998 2106 2331 2457 2886 2997 3367 4329 4662 4914 5994 6734 6993 7371 8658 10101 12987 13986 14742 20202 20979 25974 30303 38961 41958 60606 77922 90909 181818 272727 545454 2549081 5098162 7647243 15294486 17843567 22941729 33138053 35687134 45883458 53530701 66276106 68825187 94315997 99414159 107061402 137650374 160592103 188631994 198828318 206475561 231966371 282947991 298242477 321184206 412951122 463932742 481776309 565895982 596484954 660211979 695899113 848843973 894727431 963552618 1226107961 1320423958 1391798226 1445328927 1697687946 1789454862 1980635937 2087697339 2452215922 2546531919 2684182293 2890657854 3678323883 3961271874 4175394678 5093063838 5368364586 5941907811 6263092017 7356647766 7639595757 8582755727 11034971649 11883815622 12526184034 15279191514 17165511454 17825723433 18789276051 22069943298 25748267181 33104914947 35651446866 37578552102 51496534362 53477170299 66209829894 77244801543 99314744841 106954340598 154489603086 198629489682 231734404629 463468809258 695203213887 1390406427774