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451144146634142 = 213219374394324927
BaseRepresentation
bin110011010010100000010111…
…0100110100100010110011110
32012011100221220021011112012012
41212211000232212210112132
5433113021203014243032
64235300432041311222
7164012042343316253
oct14645005646442636
92164327807145165
10451144146634142
11120826181520385
1242722911a95512
1316496930c10b00
147d596c94cb42a
1537254642b36b2
hex19a502e9a459e

451144146634142 has 96 divisors (see below), whose sum is σ = 793994501836800. Its totient is φ = 191492776335744.

The previous prime is 451144146634127. The next prime is 451144146634261. The reversal of 451144146634142 is 241436641441154.

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 47 ways as a sum of consecutive naturals, for example, 102150083 + ... + 106475009.

It is an arithmetic number, because the mean of its divisors is an integer number (8270776060800).

Almost surely, 2451144146634142 is an apocalyptic number.

451144146634142 is a deficient number, since it is larger than the sum of its proper divisors (342850355202658).

451144146634142 is a wasteful number, since it uses less digits than its factorization.

451144146634142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325450 (or 4325437 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 50.

The spelling of 451144146634142 in words is "four hundred fifty-one trillion, one hundred forty-four billion, one hundred forty-six million, six hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 13 19 26 37 38 74 169 247 338 439 481 494 703 878 962 1406 3211 5707 6253 6422 8341 9139 11414 12506 16243 16682 18278 32486 74191 108433 118807 148382 211159 216866 237614 308617 422318 617234 1409629 2745067 2819258 4012021 4324927 5490134 8024042 8649854 52156273 56224051 82173613 104312546 112448102 160022299 164347226 320044598 730912663 1068256969 1461825326 1898642953 2080289887 2136513938 3040423681 3797285906 4160579774 6080847362 13887340597 24682358389 27043768531 27774681194 36074216107 39525507853 49364716778 54087537062 70249789261 72148432214 79051015706 140499578522 320870659057 468964809391 513831602089 641741318114 913247260393 937929618782 1027663204178 1334745995959 1826494520786 2669491991918 6096542522083 11872214385109 12193085044166 17351697947467 23744428770218 34703395894934 225572073317071 451144146634142