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1414816688 = 24317936107
BaseRepresentation
bin101010001010100…
…0110001110110000
310122121020010122002
41110111012032300
510344143113223
6352220233132
750026512665
oct12425061660
93577203562
101414816688
1166669979a
1233599b7a8
1319716884c
14d5c8ba6c
158431ee28
hex545463b0

1414816688 has 40 divisors (see below), whose sum is σ = 2865530880. Its totient is φ = 675904320.

The previous prime is 1414816681. The next prime is 1414816699. The reversal of 1414816688 is 8866184141.

It is not an unprimeable number, because it can be changed into a prime (1414816681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21131 + ... + 57237.

It is an arithmetic number, because the mean of its divisors is an integer number (71638272).

Almost surely, 21414816688 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 1414816688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432765440).

1414816688 is an abundant number, since it is smaller than the sum of its proper divisors (1450714192).

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

1414816688 is a wasteful number, since it uses less digits than its factorization.

1414816688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36225 (or 36219 counting only the distinct ones).

The product of its digits is 294912, while the sum is 47.

The square root of 1414816688 is about 37614.0490774391. The cubic root of 1414816688 is about 1122.6215926734.

The spelling of 1414816688 in words is "one billion, four hundred fourteen million, eight hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 9796 19592 36107 39184 72214 144428 288856 577712 1119317 2238634 2852453 4477268 5704906 8954536 11409812 17909072 22819624 45639248 88426043 176852086 353704172 707408344 1414816688