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114322331034 = 232172947274103
BaseRepresentation
bin110101001111000100…
…1000101010110011010
3101221002022122010212200
41222132021011112122
53333113004043114
6124304032151030
711155004531442
oct1523611052632
9357068563780
10114322331034
1144535a8041a
121a1a6398476
13aa1bb37832
145767281122
152e917dd409
hex1a9e24559a

114322331034 has 96 divisors (see below), whose sum is σ = 277086251520. Its totient is φ = 33892164096.

The previous prime is 114322331033. The next prime is 114322331077. The reversal of 114322331034 is 430133223411.

It is a happy number.

114322331034 is a `hidden beast` number, since 1 + 1 + 4 + 322 + 331 + 0 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114322330989 and 114322331007.

It is not an unprimeable number, because it can be changed into a prime (114322331033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280027 + ... + 554129.

It is an arithmetic number, because the mean of its divisors is an integer number (2886315120).

Almost surely, 2114322331034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114322331034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138543125760).

114322331034 is an abundant number, since it is smaller than the sum of its proper divisors (162763920486).

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

114322331034 is a wasteful number, since it uses less digits than its factorization.

114322331034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274204 (or 274201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114322331034 its reverse (430133223411), we get a palindrome (544455554445).

The spelling of 114322331034 in words is "one hundred fourteen billion, three hundred twenty-two million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 29 34 47 51 58 87 94 102 141 153 174 261 282 306 423 493 522 799 846 986 1363 1479 1598 2397 2726 2958 4089 4437 4794 7191 8178 8874 12267 14382 23171 24534 46342 69513 139026 208539 274103 417078 548206 822309 1644618 2466927 4659751 4933854 7948987 9319502 12882841 13979253 15897974 23846961 25765682 27958506 38648523 41937759 47693922 71540883 77297046 83875518 115945569 135132779 143081766 219008297 231891138 270265558 373602389 405398337 438016594 657024891 747204778 810796674 1120807167 1216195011 1314049782 1971074673 2241614334 2432390022 3362421501 3942149346 6351240613 6724843002 12702481226 19053721839 38107443678 57161165517 114322331034