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423300111010344 = 23346753861181019
BaseRepresentation
bin110000000111111010011110…
…0110000000000101000101000
32001111210002120112210211120000
41200033310330300000220220
5420440322111404312334
64100141215245103000
7155106265234504221
oct14017647460005050
92044702515724500
10423300111010344
11112970629288397
123b586492857a60
131522704c18a479
147675b9855a248
1533e10199e4299
hex180fd3cc00a28

423300111010344 has 160 divisors (see below), whose sum is σ = 1203357248200800. Its totient is φ = 138990717866880.

The previous prime is 423300111010331. The next prime is 423300111010363. The reversal of 423300111010344 is 443010111003324.

423300111010344 is a `hidden beast` number, since 4 + 2 + 3 + 300 + 1 + 1 + 1 + 0 + 10 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2338338667 + ... + 2338519685.

It is an arithmetic number, because the mean of its divisors is an integer number (7520982801255).

Almost surely, 2423300111010344 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 423300111010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601678624100400).

423300111010344 is an abundant number, since it is smaller than the sum of its proper divisors (780057137190456).

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

423300111010344 is a wasteful number, since it uses less digits than its factorization.

423300111010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234965 (or 234952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 423300111010344 its reverse (443010111003324), we get a palindrome (866310222013668).

The spelling of 423300111010344 in words is "four hundred twenty-three trillion, three hundred billion, one hundred eleven million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 14472 21708 43416 53861 107722 161583 181019 215444 323166 362038 430888 484749 543057 646332 724076 969498 1086114 1292664 1448152 1454247 1629171 1938996 2172228 2908494 3258342 3608687 3877992 4344456 4362741 4887513 5816988 6516684 7217374 8725482 9775026 10826061 11633976 12128273 13033368 14434748 14662539 17450964 19550052 21652122 24256546 28869496 29325078 32478183 34901928 36384819 39100104 43304244 48513092 58650156 64956366 72769638 86608488 97026184 97434549 109154457 117300312 129912732 145539276 194869098 218308914 259825464 291078552 292303647 327463371 389738196 436617828 584607294 654926742 779476392 873235656 982390113 1169214588 1309853484 1964780226 2338429176 2619706968 3929560452 7859120904 9749864359 19499728718 29249593077 38999457436 58499186154 77998914872 87748779231 116998372308 175497558462 233996744616 263246337693 350995116924 526492675386 653240912053 701990233848 789739013079 1052985350772 1306481824106 1579478026158 1959722736159 2105970701544 2612963648212 3158956052316 3919445472318 5225927296424 5879168208477 6317912104632 7838890944636 11758336416954 15677781889272 17637504625431 23516672833908 35275009250862 47033345667816 52912513876293 70550018501724 105825027752586 141100037003448 211650055505172 423300111010344