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42351346320 = 24351311347053
BaseRepresentation
bin100111011100010101…
…100100001010010000
311001022112112022021020
4213130111210022100
51143213421040240
631242252155440
73026335334613
oct473425441220
9131275468236
1042351346320
1116a6325a368
12825b468b80
133cbc26484a
14209a9a417a
15117d14c0d0
hex9dc564290

42351346320 has 80 divisors (see below), whose sum is σ = 132291479232. Its totient is φ = 11207472640.

The previous prime is 42351346259. The next prime is 42351346321. The reversal of 42351346320 is 2364315324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42351346321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642087 + ... + 704966.

Almost surely, 242351346320 is an apocalyptic number.

42351346320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42351346320 is an abundant number, since it is smaller than the sum of its proper divisors (89940132912).

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

42351346320 is a wasteful number, since it uses less digits than its factorization.

42351346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347200 (or 1347194 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 42351346320 in words is "forty-two billion, three hundred fifty-one million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 1347053 2694106 4041159 5388212 6735265 8082318 10776424 13470530 16164636 20205795 21552848 26941060 32329272 40411590 53882120 64658544 80823180 107764240 161646360 176463943 323292720 352927886 529391829 705855772 882319715 1058783658 1411711544 1764639430 2117567316 2646959145 2823423088 3529278860 4235134632 5293918290 7058557720 8470269264 10587836580 14117115440 21175673160 42351346320