Search a number
-
+
423309232206504 = 23347330728219577
BaseRepresentation
bin110000000111111110101110…
…0011010100111001010101000
32001111210222010012221121110000
41200033331130122213022220
5420440444301421102004
64100145324320023000
7155110040251420650
oct14017753432471250
92044728105847400
10423309232206504
11112974489a28036
123b5881b9461a60
1315227b73a92c67
1476763c1abd360
1533e13a0660c39
hex180ff5c6a72a8

423309232206504 has 160 divisors (see below), whose sum is σ = 1355447285628480. Its totient is φ = 120908918059776.

The previous prime is 423309232206499. The next prime is 423309232206611. The reversal of 423309232206504 is 405602232903324.

423309232206504 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 0 + 92 + 32 + 20 + 6 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 423309232206504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 890764 + ... + 29110340.

It is an arithmetic number, because the mean of its divisors is an integer number (8471545535178).

Almost surely, 2423309232206504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423309232206504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677723642814240).

423309232206504 is an abundant number, since it is smaller than the sum of its proper divisors (932138053421976).

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

423309232206504 is a wasteful number, since it uses less digits than its factorization.

423309232206504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28222909 (or 28222896 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 423309232206504 in words is "four hundred twenty-three trillion, three hundred nine billion, two hundred thirty-two million, two hundred six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 3307 4536 6614 9921 13228 19842 23149 26456 29763 39684 46298 59526 69447 79368 89289 92596 119052 138894 178578 185192 208341 238104 267867 277788 357156 416682 535734 555576 625023 714312 833364 1071468 1250046 1666728 1875069 2142936 2500092 3750138 5000184 7500276 15000552 28219577 56439154 84658731 112878308 169317462 197537039 225756616 253976193 338634924 395074078 507952386 592611117 677269848 761928579 790148156 1015904772 1185222234 1523857158 1580296312 1777833351 2031809544 2285785737 2370444468 3047714316 3555666702 4571571474 4740888936 5333500053 6095428632 7111333404 9143142948 10667000106 14222666808 16000500159 18286285896 21334000212 32001000318 42668000424 64002000636 93322141139 128004001272 186644282278 279966423417 373288564556 559932846834 653254987973 746577129112 839899270251 1119865693668 1306509975946 1679798540502 1959764963919 2239731387336 2519697810753 2613019951892 3359597081004 3919529927838 5039395621506 5226039903784 5879294891757 6719194162008 7559093432259 7839059855676 10078791243012 11758589783514 15118186864518 15678119711352 17637884675271 20157582486024 23517179567028 30236373729036 35275769350542 47034359134056 52913654025813 60472747458072 70551538701084 105827308051626 141103077402168 211654616103252 423309232206504