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23034430314 = 23274713927983
BaseRepresentation
bin10101011100111101…
…011000001101101010
32012110022100022002200
4111130331120031222
5334133303232224
614325403441030
71443546266340
oct253475301552
965408308080
1023034430314
119850376475
12456a226176
13223125582c
1411872d1990
158ec3615c9
hex55cf5836a

23034430314 has 96 divisors (see below), whose sum is σ = 58672373760. Its totient is φ = 6394670496.

The previous prime is 23034430301. The next prime is 23034430337. The reversal of 23034430314 is 41303443032.

23034430314 is a `hidden beast` number, since 2 + 3 + 0 + 344 + 3 + 0 + 314 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809167 + ... + 837149.

It is an arithmetic number, because the mean of its divisors is an integer number (611170560).

Almost surely, 223034430314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23034430314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29336186880).

23034430314 is an abundant number, since it is smaller than the sum of its proper divisors (35637943446).

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

23034430314 is a wasteful number, since it uses less digits than its factorization.

23034430314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28184 (or 28181 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23034430314 its reverse (41303443032), we get a palindrome (64337873346).

The spelling of 23034430314 in words is "twenty-three billion, thirty-four million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 139 141 278 282 329 417 423 658 834 846 973 987 1251 1946 1974 2502 2919 2961 5838 5922 6533 8757 13066 17514 19599 27983 39198 45731 55966 58797 83949 91462 117594 137193 167898 195881 251847 274386 391762 411579 503694 587643 823158 1175286 1315201 1762929 2630402 3525858 3889637 3945603 7779274 7891206 9206407 11668911 11836809 18412814 23337822 23673618 27227459 27619221 35006733 54454918 55238442 70013466 81682377 82857663 163364754 165715326 182812939 245047131 365625878 490094262 548438817 1096877634 1279690573 1645316451 2559381146 3290632902 3839071719 7678143438 11517215157 23034430314