Search a number
-
+
1314695808 = 27321141229
BaseRepresentation
bin100111001011100…
…1010101010000000
310101121211110121100
41032113022222000
510143030231213
6334242254400
744402505246
oct11627125200
93347743540
101314695808
11615125468
12308357400
1317c4b201a
14c6868796
157a644773
hex4e5caa80

1314695808 has 48 divisors (see below), whose sum is σ = 3783177450. Its totient is φ = 438231552.

The previous prime is 1314695783. The next prime is 1314695821. The reversal of 1314695808 is 8085964131.

1314695808 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 69 + 580 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1273633344 + 41062464 = 35688^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 569463 + ... + 571766.

Almost surely, 21314695808 is an apocalyptic number.

1314695808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1314695808 is an abundant number, since it is smaller than the sum of its proper divisors (2468481642).

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

1314695808 is a wasteful number, since it uses less digits than its factorization.

1314695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141249 (or 1141234 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1314695808 is about 36258.7342305271. The cubic root of 1314695808 is about 1095.4900214993.

The spelling of 1314695808 in words is "one billion, three hundred fourteen million, six hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1141229 2282458 3423687 4564916 6847374 9129832 10271061 13694748 18259664 20542122 27389496 36519328 41084244 54778992 73038656 82168488 109557984 146077312 164336976 219115968 328673952 438231936 657347904 1314695808