Search a number
-
+
6303141414120 = 2335173089775203
BaseRepresentation
bin101101110111001000010…
…0000010100010011101000
3211022120111202120221200110
41123232100200110103220
51311232313200222440
621223342335334320
71220246502006345
oct133562040242350
924276452527613
106303141414120
112010169007671
128597113813a0
133694cac56b15
1417b1062297cc
15ade5c321080
hex5bb908144e8

6303141414120 has 64 divisors (see below), whose sum is σ = 20021743321920. Its totient is φ = 1581964903424.

The previous prime is 6303141414067. The next prime is 6303141414203. The reversal of 6303141414120 is 214141413036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544885562 + ... + 1544889641.

It is an arithmetic number, because the mean of its divisors is an integer number (312839739405).

Almost surely, 26303141414120 is an apocalyptic number.

6303141414120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6303141414120 is an abundant number, since it is smaller than the sum of its proper divisors (13718601907800).

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

6303141414120 is a wasteful number, since it uses less digits than its factorization.

6303141414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089775234 (or 3089775230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 6303141414120 its reverse (214141413036), we get a palindrome (6517282827156).

The spelling of 6303141414120 in words is "six trillion, three hundred three billion, one hundred forty-one million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 3089775203 6179550406 9269325609 12359100812 15448876015 18538651218 24718201624 30897752030 37077302436 46346628045 52526178451 61795504060 74154604872 92693256090 105052356902 123591008120 157578535353 185386512180 210104713804 262630892255 315157070706 370773024360 420209427608 525261784510 630314141412 787892676765 1050523569020 1260628282824 1575785353530 2101047138040 3151570707060 6303141414120