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342142404444320 = 25578831193922721
BaseRepresentation
bin100110111001011010011110…
…0011110101100000010100000
31122212102111100102210202102012
41031302310330132230002200
5324321130121014204240
63211402014543012052
7132031654510045004
oct11562647436540240
91585374312722365
10342142404444320
119a020862747087
12324595a6b9a028
13118bab75ca943c
14606bad0488704
152984d983ccb65
hex1372d3c7ac0a0

342142404444320 has 96 divisors (see below), whose sum is σ = 808517264103360. Its totient is φ = 136822117089280.

The previous prime is 342142404444317. The next prime is 342142404444359. The reversal of 342142404444320 is 23444404241243.

It is a super-3 number, since 3×3421424044443203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15058410560 + ... + 15058433280.

It is an arithmetic number, because the mean of its divisors is an integer number (8422054834410).

Almost surely, 2342142404444320 is an apocalyptic number.

It is an amenable number.

342142404444320 is an abundant number, since it is smaller than the sum of its proper divisors (466374859659040).

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

342142404444320 is a wasteful number, since it uses less digits than its factorization.

342142404444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42558 (or 42550 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 41.

Adding to 342142404444320 its reverse (23444404241243), we get a palindrome (365586808685563).

The spelling of 342142404444320 in words is "three hundred forty-two trillion, one hundred forty-two billion, four hundred four million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 7883 11939 15766 22721 23878 31532 39415 45442 47756 59695 63064 78830 90884 95512 113605 119390 126128 157660 181768 191024 227210 238780 252256 315320 363536 382048 454420 477560 630640 727072 908840 955120 1261280 1817680 1910240 3635360 94115137 179109643 188230274 271266019 358219286 376460548 470575685 542532038 716438572 752921096 895548215 941151370 1085064076 1356330095 1432877144 1505842192 1791096430 1882302740 2170128152 2712660190 2865754288 3011684384 3582192860 3764605480 4340256304 5425320380 5731508576 7164385720 7529210960 8680512608 10850640760 14328771440 15058421920 21701281520 28657542880 43402563040 2138390027777 4276780055554 8553560111108 10691950138885 17107120222216 21383900277770 34214240444432 42767800555540 68428480888864 85535601111080 171071202222160 342142404444320