Search a number
-
+
23151344544504 = 23331138925048411
BaseRepresentation
bin1010100001110010101111…
…01010101110101011111000
310000222020200000012020022000
411100321113222232223320
511013302423200411004
6121123325244301000
74606425620464041
oct520712752565370
9100866600166260
1023151344544504
117416480494070
12271aa76541760
13cbc215ac6247
145a07612dd8c8
152a2346247c39
hex150e57aaeaf8

23151344544504 has 128 divisors (see below), whose sum is σ = 70335940896000. Its totient is φ = 6997523817600.

The previous prime is 23151344544467. The next prime is 23151344544511. The reversal of 23151344544504 is 40544544315132.

23151344544504 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 13 + 44 + 544 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23151344544504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11599942 + ... + 13448469.

It is an arithmetic number, because the mean of its divisors is an integer number (549499538250).

Almost surely, 223151344544504 is an apocalyptic number.

23151344544504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23151344544504 is an abundant number, since it is smaller than the sum of its proper divisors (47184596351496).

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

23151344544504 is a wasteful number, since it uses less digits than its factorization.

23151344544504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25048826 (or 25048816 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 23151344544504 its reverse (40544544315132), we get a palindrome (63695888859636).

The spelling of 23151344544504 in words is "twenty-three trillion, one hundred fifty-one billion, three hundred forty-four million, five hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 389 396 594 778 792 1167 1188 1556 2334 2376 3112 3501 4279 4668 7002 8558 9336 10503 12837 14004 17116 21006 25674 28008 34232 38511 42012 51348 77022 84024 102696 115533 154044 231066 308088 462132 924264 25048411 50096822 75145233 100193644 150290466 200387288 225435699 275532521 300580932 450871398 551065042 601161864 676307097 826597563 901742796 1102130084 1352614194 1653195126 1803485592 2204260168 2479792689 2705228388 3306390252 4959585378 5410456776 6612780504 7439378067 9743831879 9919170756 14878756134 19487663758 19838341512 29231495637 29757512268 38975327516 58462991274 59515024536 77950655032 87694486911 107182150669 116925982548 175388973822 214364301338 233851965096 263083460733 321546452007 350777947644 428728602676 526166921466 643092904014 701555895288 857457205352 964639356021 1052333842932 1286185808028 1929278712042 2104667685864 2572371616056 2893918068063 3858557424084 5787836136126 7717114848168 11575672272252 23151344544504