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244414301114340 = 223257193979604059
BaseRepresentation
bin110111100100101100100011…
…100110001000111111100100
31012001101210000212220000121100
4313210230203212020333210
5224013440442041124330
62223454214014320100
7102324231141634410
oct6744544346107744
91161353025800540
10244414301114340
1170972583125245
12234b5166ab9030
13a64c228a9a326
14444da02a9bd40
151d3cb9be22060
hexde4b23988fe4

244414301114340 has 72 divisors (see below), whose sum is σ = 847302910534080. Its totient is φ = 55866125968704.

The previous prime is 244414301114329. The next prime is 244414301114393. The reversal of 244414301114340 is 43411103414442.

244414301114340 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 1 + 4 + 301 + 1 + 1 + 4 + 340 = 666.

It is a super-2 number, since 2×2444143011143402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244414301114295 and 244414301114304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96989800770 + ... + 96989803289.

It is an arithmetic number, because the mean of its divisors is an integer number (11768095979640).

Almost surely, 2244414301114340 is an apocalyptic number.

244414301114340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244414301114340 is an abundant number, since it is smaller than the sum of its proper divisors (602888609419740).

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

244414301114340 is a wasteful number, since it uses less digits than its factorization.

244414301114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193979604081 (or 193979604076 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 244414301114340 its reverse (43411103414442), we get a palindrome (287825404528782).

The spelling of 244414301114340 in words is "two hundred forty-four trillion, four hundred fourteen billion, three hundred one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 193979604059 387959208118 581938812177 775918416236 969898020295 1163877624354 1357857228413 1745816436531 1939796040590 2327755248708 2715714456826 2909694060885 3491632873062 3879592081180 4073571685239 5431428913652 5819388121770 6789286142065 6983265746124 8147143370478 8729082182655 11638776243540 12220715055717 13578572284130 16294286740956 17458164365310 20367858426195 24441430111434 27157144568260 34916328730620 40735716852390 48882860222868 61103575278585 81471433704780 122207150557170 244414301114340