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1314040300 = 2252101281463
BaseRepresentation
bin100111001010010…
…1010100111101100
310101120121011102021
41032110222213230
510142343242200
6334220235524
744364105166
oct11624524754
93346534367
101314040300
11614817a21
1230809bba4
1317c312851
14c6737936
157a56541a
hex4e52a9ec

1314040300 has 72 divisors (see below), whose sum is σ = 2896189632. Its totient is φ = 517440000.

The previous prime is 1314040297. The next prime is 1314040339. The reversal of 1314040300 is 30404131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837869 + ... + 2838331.

It is an arithmetic number, because the mean of its divisors is an integer number (40224856).

Almost surely, 21314040300 is an apocalyptic number.

1314040300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448094816).

1314040300 is an abundant number, since it is smaller than the sum of its proper divisors (1582149332).

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

1314040300 is a wasteful number, since it uses less digits than its factorization.

1314040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1314040300 is about 36249.6937918102. The cubic root of 1314040300 is about 1095.3079206030.

Adding to 1314040300 its reverse (30404131), we get a palindrome (1344444431).

The spelling of 1314040300 in words is "one billion, three hundred fourteen million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 281 404 463 505 562 926 1010 1124 1405 1852 2020 2315 2525 2810 4630 5050 5620 7025 9260 10100 11575 14050 23150 28100 28381 46300 46763 56762 93526 113524 130103 141905 187052 233815 260206 283810 467630 520412 567620 650515 709525 935260 1169075 1301030 1419050 2338150 2602060 2838100 3252575 4676300 6505150 13010300 13140403 26280806 52561612 65702015 131404030 262808060 328510075 657020150 1314040300