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466340710412340 = 22345893234434113
BaseRepresentation
bin110101000001000100110100…
…0011000110111000000110100
32021011011201212220221102210000
41222002021220120313000310
5442111011233331143330
64331453544223031300
7200141001352204461
oct15202115030670064
92234151786842700
10466340710412340
11125654a91606825
1244377b5443b530
13170299815839ca
148323021968668
1538da8d338c560
hex1a82268637034

466340710412340 has 120 divisors (see below), whose sum is σ = 1479365475061320. Its totient is φ = 122960247201792.

The previous prime is 466340710412299. The next prime is 466340710412359. The reversal of 466340710412340 is 43214017043664.

466340710412340 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 407 + 1 + 0 + 4 + 1 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139892456484 + 466200817955856 = 374022^2 + 21591684^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1617072877 + ... + 1617361236.

It is an arithmetic number, because the mean of its divisors is an integer number (12328045625511).

Almost surely, 2466340710412340 is an apocalyptic number.

It is an amenable number.

466340710412340 is an abundant number, since it is smaller than the sum of its proper divisors (1013024764648980).

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

466340710412340 is a wasteful number, since it uses less digits than its factorization.

466340710412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234434223 (or 3234434212 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 466340710412340 in words is "four hundred sixty-six trillion, three hundred forty billion, seven hundred ten million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 16020 24030 28836 36045 48060 72090 144180 3234434113 6468868226 9703302339 12937736452 16172170565 19406604678 29109907017 32344341130 38813209356 48516511695 58219814034 64688682260 87329721051 97033023390 116439628068 145549535085 174659442102 194066046780 261989163153 287864636057 291099070170 349318884204 436648605255 523978326306 575729272114 582198140340 863593908171 873297210510 1047956652612 1151458544228 1309945815765 1439323180285 1727187816342 1746594421020 2590781724513 2619891631530 2878646360570 3454375632684 4317969540855 5181563449026 5239783263060 5757292721140 7772345173539 8635939081710 10363126898052 12953908622565 15544690347078 17271878163420 23317035520617 25907817245130 31089380694156 38861725867695 46634071041234 51815634490260 77723451735390 93268142082468 116585177603085 155446903470780 233170355206170 466340710412340