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1434376670517 = 347372232571193
BaseRepresentation
bin10100110111110111100…
…000110000110100110101
312002010101011202121010000
4110313313200300310311
5142000100411424032
63014535450021513
7205426122350160
oct24676740606465
95063334677100
101434376670517
1150335226669a
121b1ba9a17899
13a535195422b
144d5d2018ad7
15274a1114e7c
hex14df7830d35

1434376670517 has 160 divisors (see below), whose sum is σ = 2538230188032. Its totient is φ = 790163030016.

The previous prime is 1434376670491. The next prime is 1434376670521. The reversal of 1434376670517 is 7150766734341.

1434376670517 is a `hidden beast` number, since 1 + 4 + 34 + 37 + 6 + 67 + 0 + 517 = 666.

It is not a de Polignac number, because 1434376670517 - 214 = 1434376654133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434376670557) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1202326873 + ... + 1202328065.

Almost surely, 21434376670517 is an apocalyptic number.

It is an amenable number.

1434376670517 is a deficient number, since it is larger than the sum of its proper divisors (1103853517515).

1434376670517 is a wasteful number, since it uses less digits than its factorization.

1434376670517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 1434376670517 in words is "one trillion, four hundred thirty-four billion, three hundred seventy-six million, six hundred seventy thousand, five hundred seventeen".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 223 257 259 333 567 669 771 777 999 1193 1561 1799 2007 2313 2331 2997 3579 4683 5397 6021 6939 6993 8251 8351 9509 10737 14049 16191 18063 20817 20979 24753 25053 28527 32211 42147 44141 48573 57311 57757 66563 74259 75159 85581 96633 126441 132423 145719 171933 173271 199689 222777 225477 256743 266039 306601 308987 397269 401177 515799 519813 599067 668331 676431 770229 798117 919803 926961 1191807 1203531 1547397 1559439 1797201 1862273 2120507 2146207 2394351 2759409 2780883 3575421 3610593 4642191 4678317 5391603 5586819 6361521 6438621 7183053 8278227 8342649 9843443 10831779 11344237 14843549 16760457 19084563 19315863 21549159 24834681 25027947 29530329 32495337 34032711 44530647 50281371 57253689 57947589 68372023 68904101 79409659 88590987 102098133 133591941 150844113 171761067 173842767 205116069 206712303 238228977 265772961 306294399 400775823 478604161 615348207 620136909 714686931 797318883 918883197 1202327469 1435812483 1846044621 1860410727 2144060793 2529764851 4307437449 5538133863 5581232181 6432182379 7589294553 12922312347 17708353957 22767883659 38766937041 53125061871 68303650977 159375185613 204910952931 478125556839 1434376670517