Search a number
-
+
42714659778615 = 33511534911105333
BaseRepresentation
bin10011011011001010010000…
…00111110111000000110111
312121020111000002020011201000
421231211020013313000313
521044314110400403430
6230502502132334343
711666014042325466
oct1155451007670067
9177214002204630
1042714659778615
1112679204970170
12495a4791743b3
131aaac8a4a3786
14a795872109dd
154e118dcaee60
hex26d9481f7037

42714659778615 has 128 divisors (see below), whose sum is σ = 84575559490560. Its totient is φ = 20277978739200.

The previous prime is 42714659778611. The next prime is 42714659778629. The reversal of 42714659778615 is 51687795641724.

42714659778615 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 465 + 9 + 77 + 86 + 15 = 666.

42714659778615 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42714659778615 - 22 = 42714659778611 is a prime.

It is a super-2 number, since 2×427146597786152 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42714659778611) 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 127 ways as a sum of consecutive naturals, for example, 38091489 + ... + 39196821.

It is an arithmetic number, because the mean of its divisors is an integer number (660746558520).

Almost surely, 242714659778615 is an apocalyptic number.

42714659778615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42714659778615 is a deficient number, since it is larger than the sum of its proper divisors (41860899711945).

42714659778615 is a wasteful number, since it uses less digits than its factorization.

42714659778615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105902 (or 1105896 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 42714659778615 in words is "forty-two trillion, seven hundred fourteen billion, six hundred fifty-nine million, seven hundred seventy-eight thousand, six hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 53 55 99 135 159 165 265 297 477 491 495 583 795 1431 1473 1485 1749 2385 2455 2915 4419 5247 5401 7155 7365 8745 13257 15741 16203 22095 26023 26235 27005 48609 66285 78069 78705 81015 130115 145827 234207 243045 286253 390345 702621 729135 858759 1105333 1171035 1431265 2576277 3315999 3513105 4293795 5526665 7728831 9947997 12158663 12881385 16579995 29843991 36475989 38644155 49739985 58582649 60793315 109427967 149219955 175747947 182379945 292913245 328283901 527243841 542718503 547139835 644409139 878739735 1581731523 1628155509 1641419505 1933227417 2636219205 2713592515 3222045695 4884466527 5799682251 5969903533 7908657615 8140777545 9666137085 14653399581 17399046753 17909710599 24422332635 28764080659 28998411255 29849517665 53729131797 73266997905 86292241977 86995233765 89548552995 143820403295 161187395391 258876725931 268645658985 316404887249 431461209885 776630177793 805936976955 949214661747 1294383629655 1582024436245 2847643985241 3883150888965 4746073308735 8542931955723 14238219926205 42714659778615