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23343140251134 = 23311411317316741
BaseRepresentation
bin1010100111010111111111…
…00101010010010111111110
310001122120201120122122002000
411103223333211102113332
511024423222401014014
6121351405100043130
74626325530212304
oct523537745222776
9101576646578060
1023343140251134
11748a852132220
1227500825334a6
131004330473a52
145a9b57938274
152a731e2ba509
hex153aff9525fe

23343140251134 has 128 divisors (see below), whose sum is σ = 58412185413120. Its totient is φ = 6848468640000.

The previous prime is 23343140251127. The next prime is 23343140251181. The reversal of 23343140251134 is 43115204134332.

23343140251134 is a `hidden beast` number, since 2 + 3 + 3 + 431 + 40 + 2 + 51 + 134 = 666.

It is a super-2 number, since 2×233431402511342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467997 + ... + 6848744.

It is an arithmetic number, because the mean of its divisors is an integer number (456345198540).

Almost surely, 223343140251134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23343140251134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29206092706560).

23343140251134 is an abundant number, since it is smaller than the sum of its proper divisors (35069045161986).

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

23343140251134 is a wasteful number, since it uses less digits than its factorization.

23343140251134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316935 (or 7316929 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23343140251134 its reverse (43115204134332), we get a palindrome (66458344385466).

The spelling of 23343140251134 in words is "twenty-three trillion, three hundred forty-three billion, one hundred forty million, two hundred fifty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 131 198 246 262 297 369 393 451 594 738 786 902 1107 1179 1353 1441 2214 2358 2706 2882 3537 4059 4323 5371 7074 8118 8646 10742 12177 12969 16113 24354 25938 32226 38907 48339 59081 77814 96678 118162 145017 177243 290034 354486 531729 1063458 1595187 3190374 7316741 14633482 21950223 43900446 65850669 80484151 131701338 160968302 197552007 241452453 299986381 395104014 482904906 599972762 724357359 899959143 958493071 1448714718 1799918286 1916986142 2173072077 2699877429 2875479213 3299850191 4346144154 5399754858 5750958426 6599700382 8099632287 8626437639 9899550573 10543423781 16199264574 17252875278 19799101146 21086847562 25879312917 29698651719 31630271343 39298215911 51758625834 59397303438 63260542686 78596431822 89095955157 94890814029 117894647733 178191910314 189781628058 235789295466 284672442087 353683943199 432280375021 569344884174 707367886398 864560750042 1061051829597 1296841125063 2122103659194 2593682250126 3890523375189 7781046750378 11671570125567 23343140251134