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1314150500 = 2253131811117
BaseRepresentation
bin100111001010100…
…0101100001100100
310101120210202120202
41032111011201210
510142410304000
6334222450032
744365044365
oct11625054144
93346722522
101314150500
116148927a3
12308133918
1317c350a60
14c6765b6c
157a587dd5
hex4e545864

1314150500 has 96 divisors (see below), whose sum is σ = 3110741088. Its totient is φ = 482112000.

The previous prime is 1314150421. The next prime is 1314150521. The reversal of 1314150500 is 50514131.

It can be written as a sum of positive squares in 16 ways, for example, as 1233976384 + 80174116 = 35128^2 + 8954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 1175942 + ... + 1177058.

It is an arithmetic number, because the mean of its divisors is an integer number (32403553).

Almost surely, 21314150500 is an apocalyptic number.

1314150500 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 1314150500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555370544).

1314150500 is an abundant number, since it is smaller than the sum of its proper divisors (1796590588).

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

1314150500 is a wasteful number, since it uses less digits than its factorization.

1314150500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1314150500 is about 36251.2137727828. The cubic root of 1314150500 is about 1095.3385385272.

Adding to 1314150500 its reverse (50514131), we get a palindrome (1364664631).

The spelling of 1314150500 in words is "one billion, three hundred fourteen million, one hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 181 250 260 325 362 500 650 724 905 1117 1300 1625 1810 2234 2353 3250 3620 4468 4525 4706 5585 6500 9050 9412 11170 11765 14521 18100 22340 22625 23530 27925 29042 45250 47060 55850 58084 58825 72605 90500 111700 117650 139625 145210 202177 235300 279250 290420 294125 363025 404354 558500 588250 726050 808708 1010885 1176500 1452100 1815125 2021770 2628301 3630250 4043540 5054425 5256602 7260500 10108850 10513204 13141505 20217700 25272125 26283010 50544250 52566020 65707525 101088500 131415050 262830100 328537625 657075250 1314150500