Search a number
-
+
4122666614100 = 2235213742222047
BaseRepresentation
bin111011111111100010000…
…101000011110101010100
3112121010022201120100021210
4323333202011003311110
51020021210123122400
612433532113141420
7603565344011466
oct73774205036524
915533281510253
104122666614100
11134a45a90a3a1
1256700085a870
1323b9c55aa368
141037768a8136
15723900ed950
hex3bfe2143d54

4122666614100 has 36 divisors (see below), whose sum is σ = 11928248737664. Its totient is φ = 1099377763680.

The previous prime is 4122666614047. The next prime is 4122666614179. The reversal of 4122666614100 is 14166662214.

It is a super-4 number, since 4×41226666141004 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6871110724 + ... + 6871111323.

Almost surely, 24122666614100 is an apocalyptic number.

It is an amenable number.

4122666614100 is an abundant number, since it is smaller than the sum of its proper divisors (7805582123564).

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

4122666614100 is a wasteful number, since it uses less digits than its factorization.

4122666614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742222064 (or 13742222057 counting only the distinct ones).

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

The spelling of 4122666614100 in words is "four trillion, one hundred twenty-two billion, six hundred sixty-six million, six hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 13742222047 27484444094 41226666141 54968888188 68711110235 82453332282 137422220470 164906664564 206133330705 274844440940 343555551175 412266661410 687111102350 824533322820 1030666653525 1374222204700 2061333307050 4122666614100