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114074462047 = 71383103331443
BaseRepresentation
bin110101000111101011…
…1100010011101011111
3101220110001020002112211
41222033113202131133
53332111030241142
6124223255341251
711145604633360
oct1521727423537
9356401202484
10114074462047
1144419072817
121a137381827
13a9ac6900b0
14574239bb67
152e79b7a917
hex1a8f5e275f

114074462047 has 64 divisors (see below), whose sum is σ = 144228704256. Its totient is φ = 87838058880.

The previous prime is 114074462027. The next prime is 114074462057. The reversal of 114074462047 is 740264470411.

It is not a de Polignac number, because 114074462047 - 235 = 79714723679 is a prime.

It is a super-3 number, since 3×1140744620473 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114074462027) 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 63 ways as a sum of consecutive naturals, for example, 257504208 + ... + 257504650.

It is an arithmetic number, because the mean of its divisors is an integer number (2253573504).

Almost surely, 2114074462047 is an apocalyptic number.

114074462047 is a deficient number, since it is larger than the sum of its proper divisors (30154242209).

114074462047 is a wasteful number, since it uses less digits than its factorization.

114074462047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 114074462047 in words is "one hundred fourteen billion, seventy-four million, four hundred sixty-two thousand, forty-seven".

Divisors: 1 7 13 83 91 103 331 443 581 721 1079 1339 2317 3101 4303 5759 7553 8549 9373 27473 30121 34093 36769 40313 45629 59843 111137 146633 192311 238651 257383 319403 357149 443209 477997 593177 777959 1026431 1906229 2500043 2829719 3102463 3345979 3787207 4152239 12170539 13343603 15103199 19808033 26510449 36786347 49233691 85193773 105722393 158217007 196341587 257504429 344635837 1107519049 1253565517 1374391109 8774958619 16296351721 114074462047