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141416688 = 2437974339
BaseRepresentation
bin10000110110111…
…01100011110000
3100212002201020010
420123131203300
5242200313223
622011014520
73335010360
oct1033354360
9325081203
10141416688
117290a4a6
123b43a440
13233b511a
1414ad29a0
15c636393
hex86dd8f0

141416688 has 80 divisors (see below), whose sum is σ = 421917440. Its totient is φ = 39979008.

The previous prime is 141416683. The next prime is 141416689. The reversal of 141416688 is 886614141.

141416688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141416683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30423 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (5273968).

Almost surely, 2141416688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141416688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210958720).

141416688 is an abundant number, since it is smaller than the sum of its proper divisors (280500752).

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

141416688 is a wasteful number, since it uses less digits than its factorization.

141416688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4448 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 141416688 is about 11891.8748732065. The cubic root of 141416688 is about 520.9949982512.

The spelling of 141416688 in words is "one hundred forty-one million, four hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4339 4656 5432 8148 8678 10864 13017 16296 17356 26034 30373 32592 34712 52068 60746 69424 91119 104136 121492 182238 208272 242984 364476 420883 485968 728952 841766 1262649 1457904 1683532 2525298 2946181 3367064 5050596 5892362 6734128 8838543 10101192 11784724 17677086 20202384 23569448 35354172 47138896 70708344 141416688