Search a number
-
+
114306658326 = 23371797183383
BaseRepresentation
bin110101001110100110…
…1010011000000010110
3101221001020010212222000
41222131031103000112
53333100001031301
6124302312220130
711154424364430
oct1523515230026
9357036125860
10114306658326
1144528146273
121a1a109a646
13aa1880ac43
145765161650
152e90244786
hex1a9d353016

114306658326 has 128 divisors (see below), whose sum is σ = 310549800960. Its totient is φ = 30420873216.

The previous prime is 114306658321. The next prime is 114306658327. The reversal of 114306658326 is 623856603411.

114306658326 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 66 + 583 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114306658321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 531631 + ... + 715013.

It is an arithmetic number, because the mean of its divisors is an integer number (2426170320).

Almost surely, 2114306658326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114306658326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155274900480).

114306658326 is an abundant number, since it is smaller than the sum of its proper divisors (196243142634).

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

114306658326 is a wasteful number, since it uses less digits than its factorization.

114306658326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183515 (or 183509 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 114306658326 in words is "one hundred fourteen billion, three hundred six million, six hundred fifty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 97 102 119 126 153 189 194 238 291 306 357 378 459 582 679 714 873 918 1071 1358 1649 1746 2037 2142 2619 3213 3298 4074 4947 5238 6111 6426 9894 11543 12222 14841 18333 23086 29682 34629 36666 44523 69258 89046 103887 183383 207774 311661 366766 550149 623322 1100298 1283681 1650447 2567362 3117511 3300894 3851043 4951341 6235022 7702086 9352533 9902682 11553129 17788151 18705066 21822577 23106258 28057599 34659387 35576302 43645154 53364453 56115198 65467731 69318774 84172797 106728906 124517057 130935462 160093359 168345594 196403193 249034114 302398567 320186718 373551171 392806386 480280077 589209579 604797134 747102342 907195701 960560154 1120653513 1178419158 1814391402 2116789969 2241307026 2721587103 3361960539 4233579938 5443174206 6350369907 6723921078 8164761309 12700739814 16329522618 19051109721 38102219442 57153329163 114306658326