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334055601343005 = 3517191631850322861
BaseRepresentation
bin100101111110100100110000…
…1011101000000101000011101
31121210210101220020001220222120
41023331021201131000220131
5322241131332420434010
63142251005155133153
7130235502133614303
oct11375114135005035
91553711806056876
10334055601343005
1197493204168093
1231572268ba41b9
13114524009b7049
145c6c53d72a273
152894845ac4e70
hex12fd261740a1d

334055601343005 has 128 divisors (see below), whose sum is σ = 599428559278080. Its totient is φ = 157867376578560.

The previous prime is 334055601342973. The next prime is 334055601343033. The reversal of 334055601343005 is 500343106550433.

It is not a de Polignac number, because 334055601343005 - 25 = 334055601342973 is a prime.

It is a super-2 number, since 2×3340556013430052 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 14612455275 + ... + 14612478135.

It is an arithmetic number, because the mean of its divisors is an integer number (4683035619360).

Almost surely, 2334055601343005 is an apocalyptic number.

It is an amenable number.

334055601343005 is a deficient number, since it is larger than the sum of its proper divisors (265372957935075).

334055601343005 is a wasteful number, since it uses less digits than its factorization.

334055601343005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41571.

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 334055601343005 its reverse (500343106550433), we get a palindrome (834398707893438).

The spelling of 334055601343005 in words is "three hundred thirty-four trillion, fifty-five billion, six hundred one million, three hundred forty-three thousand, five".

Divisors: 1 3 5 15 17 19 51 57 85 95 163 255 285 323 489 815 969 1615 2445 2771 3097 4845 8313 9291 13855 15485 18503 22861 41565 46455 52649 55509 68583 92515 114305 157947 263245 277545 314551 342915 351557 388637 434359 789735 943653 1054671 1165911 1303077 1572755 1757785 1943185 2171795 3015989 3726343 4718265 5273355 5829555 5976469 6515385 7384103 9047967 11179029 15079945 17929407 18631715 22152309 29882345 36920515 45239835 51271813 55895145 57303791 63347831 70800517 89647035 110761545 153815439 171911373 190043493 212401551 256359065 286518955 316739155 354002585 422997083 769077195 859556865 950217465 974164447 1062007755 1203608789 1268991249 2114985415 2922493341 3610826367 4870822235 6018043945 6344956245 7190950411 8036944577 14612466705 18054131835 21572851233 24110833731 35954752055 40184722885 68948524529 107864256165 120554168655 136628057809 206845573587 344742622645 409884173427 683140289045 1034227867935 1172124916993 1310021966051 2049420867135 3516374750979 3930065898153 5860624584965 6550109830255 17581873754895 19650329490765 22270373422867 66811120268601 111351867114335 334055601343005