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1414667688 = 233716750423
BaseRepresentation
bin101010001010010…
…0001110110101000
310122120221120020120
41110110201312220
510344123331223
6352213123240
750025322410
oct12424416650
93576846216
101414667688
116665a7855
12335929520
13197115a95
14d5c4d640
15842e0be3
hex54521da8

1414667688 has 64 divisors (see below), whose sum is σ = 4066191360. Its totient is φ = 401762496.

The previous prime is 1414667663. The next prime is 1414667701. The reversal of 1414667688 is 8867664141.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1414667688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 53267.

It is an arithmetic number, because the mean of its divisors is an integer number (63534240).

Almost surely, 21414667688 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 1414667688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033095680).

1414667688 is an abundant number, since it is smaller than the sum of its proper divisors (2651523672).

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

1414667688 is a wasteful number, since it uses less digits than its factorization.

1414667688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50606 (or 50602 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 1414667688 is about 37612.0683823690. The cubic root of 1414667688 is about 1122.5821820343.

The spelling of 1414667688 in words is "one billion, four hundred fourteen million, six hundred sixty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 4008 4676 7014 9352 14028 28056 50423 100846 151269 201692 302538 352961 403384 605076 705922 1058883 1210152 1411844 2117766 2823688 4235532 8420641 8471064 16841282 25261923 33682564 50523846 58944487 67365128 101047692 117888974 176833461 202095384 235777948 353666922 471555896 707333844 1414667688