Search a number
-
+
1314118880 = 25541200323
BaseRepresentation
bin100111001010011…
…1101110011100000
310101120202011012122
41032110331303200
510142403301010
6334222043412
744364553244
oct11624756340
93346664178
101314118880
11614870a68
12308119568
1317c33c549
14c6758424
157a57d855
hex4e53dce0

1314118880 has 48 divisors (see below), whose sum is σ = 3180343824. Its totient is φ = 512824320.

The previous prime is 1314118879. The next prime is 1314118903. The reversal of 1314118880 is 888114131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314118880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93602 + ... + 106721.

It is an arithmetic number, because the mean of its divisors is an integer number (66257163).

Almost surely, 21314118880 is an apocalyptic number.

1314118880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314118880 is an abundant number, since it is smaller than the sum of its proper divisors (1866224944).

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

1314118880 is a wasteful number, since it uses less digits than its factorization.

1314118880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200379 (or 200371 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 35.

The square root of 1314118880 is about 36250.7776468312. Note that the first 3 decimals coincide. The cubic root of 1314118880 is about 1095.3297534141.

The spelling of 1314118880 in words is "one billion, three hundred fourteen million, one hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 200323 400646 801292 1001615 1602584 2003230 3205168 4006460 6410336 8012920 8213243 16025840 16426486 32051680 32852972 41066215 65705944 82132430 131411888 164264860 262823776 328529720 657059440 1314118880