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13842264900 = 2235246140883
BaseRepresentation
bin11001110010001000…
…00011001101000100
31022201200122220200210
430321010003031010
5211322104434100
610205315435420
71000011211302
oct147104031504
938650586623
1013842264900
115963663552
1228238b5b70
1313c7a322b9
14954577272
15560376c50
hex339103344

13842264900 has 36 divisors (see below), whose sum is σ = 40050287312. Its totient is φ = 3691270560.

The previous prime is 13842264893. The next prime is 13842264901. The reversal of 13842264900 is 946224831.

It is not an unprimeable number, because it can be changed into a prime (13842264901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23070142 + ... + 23070741.

Almost surely, 213842264900 is an apocalyptic number.

13842264900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842264900 is an abundant number, since it is smaller than the sum of its proper divisors (26208022412).

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

13842264900 is a wasteful number, since it uses less digits than its factorization.

13842264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46140900 (or 46140893 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13842264900 in words is "thirteen billion, eight hundred forty-two million, two hundred sixty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 46140883 92281766 138422649 184563532 230704415 276845298 461408830 553690596 692113245 922817660 1153522075 1384226490 2307044150 2768452980 3460566225 4614088300 6921132450 13842264900