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4140668000 = 25537147881
BaseRepresentation
bin1111011011001101…
…1001010001100000
3101200120101201200002
43312303121101200
531440002334000
61522512515132
7204416045240
oct36663312140
911616351602
104140668000
111835332177
1297684baa8
1350cb03b11
142b3ccdb20
151937ae8d5
hexf6cd9460

4140668000 has 96 divisors (see below), whose sum is σ = 11627074368. Its totient is φ = 1419648000.

The previous prime is 4140667997. The next prime is 4140668027. The reversal of 4140668000 is 8660414.

4140668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45941 + ... + 101940.

It is an arithmetic number, because the mean of its divisors is an integer number (121115358).

Almost surely, 24140668000 is an apocalyptic number.

4140668000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140668000 is an abundant number, since it is smaller than the sum of its proper divisors (7486406368).

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

4140668000 is a wasteful number, since it uses less digits than its factorization.

4140668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147913 (or 147895 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4140668000 is about 64348.0225026380. The cubic root of 4140668000 is about 1605.7951307791.

The spelling of 4140668000 in words is "four billion, one hundred forty million, six hundred sixty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 147881 295762 591524 739405 1035167 1183048 1478810 2070334 2366096 2957620 3697025 4140668 4732192 5175835 5915240 7394050 8281336 10351670 11830480 14788100 16562672 18485125 20703340 23660960 25879175 29576200 33125344 36970250 41406680 51758350 59152400 73940500 82813360 103516700 118304800 129395875 147881000 165626720 207033400 258791750 295762000 414066800 517583500 591524000 828133600 1035167000 2070334000 4140668000