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402014254203243 = 3211294323399139169
BaseRepresentation
bin101101101101000010011110…
…0110100010000000101101011
31221201102012001120220111222100
41123122010330310100011223
5410143100143034000433
63543002444313024443
7150451366662105303
oct13332047464200553
91851365046814870
10402014254203243
1110710431900a340
12391090803b5123
1314341a20c758c6
14713b845262603
1531724a7703b13
hex16da13cd1016b

402014254203243 has 96 divisors (see below), whose sum is σ = 670594541760000. Its totient is φ = 229761202083840.

The previous prime is 402014254203209. The next prime is 402014254203269. The reversal of 402014254203243 is 342302452410204.

402014254203243 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 1 + 42 + 542 + 0 + 32 + 43 = 666.

It is not a de Polignac number, because 402014254203243 - 214 = 402014254186859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402014254203198 and 402014254203207.

It is not an unprimeable number, because it can be changed into a prime (402014254203203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2888607163 + ... + 2888746331.

It is an arithmetic number, because the mean of its divisors is an integer number (6985359810000).

Almost surely, 2402014254203243 is an apocalyptic number.

402014254203243 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

402014254203243 is a deficient number, since it is larger than the sum of its proper divisors (268580287556757).

402014254203243 is a wasteful number, since it uses less digits than its factorization.

402014254203243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162657 (or 162654 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 402014254203243 in words is "four hundred two trillion, fourteen billion, two hundred fifty-four million, two hundred three thousand, two hundred forty-three".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 319 387 473 957 1247 1419 2871 3741 4257 11223 13717 23399 41151 70197 123453 139169 210591 257389 417507 678571 772167 1006157 1252521 1530859 2035713 2316501 3018471 4035901 4592577 5984267 6107139 7464281 9055413 11067727 12107703 13777731 17952801 22392843 29178553 33203181 36323109 44394911 53858403 65826937 67178529 87535659 99609543 133184733 173543743 197480811 262606977 320964083 399554199 520631229 592442433 962892249 1561893687 1908981173 2888676747 3256415431 5726943519 9769246293 17180830557 29307738879 35820569741 94436047499 107461709223 140025863533 283308142497 322385127669 420077590599 849924427491 1038796522489 1260232771797 1540284498863 3116389567467 4060750042457 4620853496589 9349168702401 12182250127371 13862560489767 36546750382113 44668250467027 134004751401081 402014254203243