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11314440114210 = 2325857146693117
BaseRepresentation
bin1010010010100101100100…
…1011110001000000100010
31111001122112210012111211100
42210221121023301000202
52440333433132123320
640021440530255230
72245304242101222
oct244513113610042
944048483174740
1011314440114210
1136724775287a2
121328993127516
13640c40aa992c
142b189c3d8082
151494ab935790
hexa4a592f1022

11314440114210 has 48 divisors (see below), whose sum is σ = 29451870687096. Its totient is φ = 3013663375104.

The previous prime is 11314440114199. The next prime is 11314440114233. The reversal of 11314440114210 is 1241104441311.

11314440114210 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 440 + 1 + 1 + 4 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8504998166889 + 2809441947321 = 2916333^2 + 1676139^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73269429 + ... + 73423688.

Almost surely, 211314440114210 is an apocalyptic number.

11314440114210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11314440114210 is an abundant number, since it is smaller than the sum of its proper divisors (18137430572886).

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

11314440114210 is a wasteful number, since it uses less digits than its factorization.

11314440114210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146693987 (or 146693984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11314440114210 its reverse (1241104441311), we get a palindrome (12555544555521).

The spelling of 11314440114210 in words is "eleven trillion, three hundred fourteen billion, four hundred forty million, one hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 857 1714 2571 4285 5142 7713 8570 12855 15426 25710 38565 77130 146693117 293386234 440079351 733465585 880158702 1320238053 1466931170 2200396755 2640476106 4400793510 6601190265 13202380530 125716001269 251432002538 377148003807 628580006345 754296007614 1131444011421 1257160012690 1885740019035 2262888022842 3771480038070 5657220057105 11314440114210