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10414222343343 = 3271337343669681
BaseRepresentation
bin1001011110001100000000…
…0001011111110010101111
31100212120221001122112010100
42113203000001133302233
52331111311404441333
634052121103242143
72123255065230210
oct227430001376257
940776831575110
1010414222343343
113355713018485
121202419ba9353
135a7098183930
142800a0125407
15130d7023e213
hex978c005fcaf

10414222343343 has 48 divisors (see below), whose sum is σ = 19014556165696. Its totient is φ = 5344750863360.

The previous prime is 10414222343333. The next prime is 10414222343351. The reversal of 10414222343343 is 34334322241401.

10414222343343 is a `hidden beast` number, since 1 + 0 + 41 + 42 + 2 + 234 + 3 + 343 = 666.

10414222343343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10414222343343 - 28 = 10414222343087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10414222343298 and 10414222343307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414222343333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171804538 + ... + 171865143.

Almost surely, 210414222343343 is an apocalyptic number.

10414222343343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10414222343343 is a deficient number, since it is larger than the sum of its proper divisors (8600333822353).

10414222343343 is a wasteful number, since it uses less digits than its factorization.

10414222343343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343669744 (or 343669741 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10414222343343 its reverse (34334322241401), we get a palindrome (44748544584744).

The spelling of 10414222343343 in words is "ten trillion, four hundred fourteen billion, two hundred twenty-two million, three hundred forty-three thousand, three hundred forty-three".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 343669681 1031009043 2405687767 3093027129 4467705853 7217063301 12715778197 13403117559 21651189903 31273940971 38147334591 40209352677 89010447379 93821822913 114442003773 165305116561 267031342137 281465468739 495915349683 801094026411 1157135815927 1487746049049 3471407447781 10414222343343