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114344202312 = 23332918254183
BaseRepresentation
bin110101001111101110…
…0100001000001001000
3101221010211210022122000
41222133130201001020
53333134103433222
6124310133031000
711155361453214
oct1523734410110
9357124708560
10114344202312
114454735965a
121a1b1785460
13aa23524912
14576a135944
152e936ad9ac
hex1a9f721048

114344202312 has 64 divisors (see below), whose sum is σ = 328575312000. Its totient is φ = 36800430912.

The previous prime is 114344202289. The next prime is 114344202317. The reversal of 114344202312 is 213202443411.

114344202312 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 420 + 231 + 2 = 666.

114344202312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1143442023122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114344202317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9120828 + ... + 9133355.

It is an arithmetic number, because the mean of its divisors is an integer number (5133989250).

Almost surely, 2114344202312 is an apocalyptic number.

114344202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114344202312 is an abundant number, since it is smaller than the sum of its proper divisors (214231109688).

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

114344202312 is a wasteful number, since it uses less digits than its factorization.

114344202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18254227 (or 18254217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114344202312 its reverse (213202443411), we get a palindrome (327546645723).

The spelling of 114344202312 in words is "one hundred fourteen billion, three hundred forty-four million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 18254183 36508366 54762549 73016732 109525098 146033464 164287647 219050196 328575294 438100392 492862941 529371307 657150588 985725882 1058742614 1314301176 1588113921 1971451764 2117485228 3176227842 3942903528 4234970456 4764341763 6352455684 9528683526 12704911368 14293025289 19057367052 28586050578 38114734104 57172101156 114344202312