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423243322423344 = 24334196643247259
BaseRepresentation
bin110000000111100000000001…
…1111000101111100000110000
32001111120122222212001201021000
41200033000003320233200300
5420433404311020021334
64100055144220402000
7155102215041462513
oct14017000370574060
92044518885051230
10423243322423344
11112949537639465
123b5774843a6300
131522189bb66877
14767312c3c2d7a
1533de7e4196299
hex180f003e2f830

423243322423344 has 160 divisors (see below), whose sum is σ = 1244513858515200. Its totient is φ = 137638123983360.

The previous prime is 423243322423301. The next prime is 423243322423357. The reversal of 423243322423344 is 443324223342324.

423243322423344 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 4 + 332 + 242 + 33 + 44 = 666.

It is a super-2 number, since 2×4232433224233442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 423243322423344.

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 31 ways as a sum of consecutive naturals, for example, 1711617187 + ... + 1711864445.

It is an arithmetic number, because the mean of its divisors is an integer number (7778211615720).

Almost surely, 2423243322423344 is an apocalyptic number.

It is an amenable number.

423243322423344 is an abundant number, since it is smaller than the sum of its proper divisors (821270536091856).

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

423243322423344 is a wasteful number, since it uses less digits than its factorization.

423243322423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343960 (or 343948 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 45.

Adding to 423243322423344 its reverse (443324223342324), we get a palindrome (866567545765668).

The spelling of 423243322423344 in words is "four hundred twenty-three trillion, two hundred forty-three billion, three hundred twenty-two million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 96643 193286 247259 289929 386572 494518 579858 741777 773144 869787 989036 1159716 1483554 1546288 1739574 1978072 2225331 2319432 2609361 2967108 3479148 3956144 3962363 4450662 4638864 5218722 5934216 6675993 6958296 7924726 8901324 10137619 10437444 11868432 11887089 13351986 13916592 15849452 17802648 20275238 20874888 23774178 26703972 30412857 31698904 35605296 35661267 40550476 41749776 47548356 53407944 60825714 63397808 71322534 81100952 91238571 95096712 106815888 106983801 121651428 142645068 162201904 182477142 190193424 213967602 243302856 273715713 285290136 364954284 427935204 486605712 547431426 570580272 729908568 855870408 1094862852 1459817136 1711740816 2189725704 4379451408 23895851537 47791703074 71687554611 95583406148 143375109222 191166812296 215062663833 286750218444 382333624592 430125327666 573500436888 645187991499 860250655332 979729913017 1147000873776 1290375982998 1720501310664 1959459826034 2580751965996 2939189739051 3441002621328 3918919652068 5161503931992 5878379478102 7837839304136 8817569217153 10323007863984 11756758956204 15675678608272 17635138434306 23513517912408 26452707651459 35270276868612 47027035824816 52905415302918 70540553737224 105810830605836 141081107474448 211621661211672 423243322423344