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114401243214 = 2336773433151
BaseRepresentation
bin110101010001011011…
…0000111000001001110
3101221021211010022001000
41222202312013001032
53333243204240324
6124315531401130
711156653344216
oct1524266070116
9357254108030
10114401243214
11445765792a5
121a2088b31a6
13aa322a6a2b
145773943246
152e986c99c9
hex1aa2d8704e

114401243214 has 64 divisors (see below), whose sum is σ = 261554503680. Its totient is φ = 37049918400.

The previous prime is 114401243207. The next prime is 114401243251. The reversal of 114401243214 is 412342104411.

114401243214 is a `hidden beast` number, since 1 + 1 + 4 + 401 + 2 + 43 + 214 = 666.

It is a super-3 number, since 3×1144012432143 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47539 + ... + 480689.

It is an arithmetic number, because the mean of its divisors is an integer number (4086789120).

Almost surely, 2114401243214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114401243214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130777251840).

114401243214 is an abundant number, since it is smaller than the sum of its proper divisors (147153260466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114401243214 is a wasteful number, since it uses less digits than its factorization.

114401243214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433302 (or 433296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114401243214 its reverse (412342104411), we get a palindrome (526743347625).

The spelling of 114401243214 in words is "one hundred fourteen billion, four hundred one million, two hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 67 73 134 146 201 219 402 438 603 657 1206 1314 1809 1971 3618 3942 4891 9782 14673 29346 44019 88038 132057 264114 433151 866302 1299453 2598906 3898359 7796718 11695077 23390154 29021117 31620023 58042234 63240046 87063351 94860069 174126702 189720138 261190053 284580207 522380106 569160414 783570159 853740621 1567140318 1707481242 2118541541 4237083082 6355624623 12711249246 19066873869 38133747738 57200621607 114401243214