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1314062500 = 2258292
BaseRepresentation
bin100111001010011…
…0000000010100100
310101120122021212111
41032110300002210
510142400000000
6334220530404
744364230002
oct11624600244
93346567774
101314062500
11614832673
123080b0a04
1317c31c99a
14c6741a72
157a56bcba
hex4e5300a4

1314062500 has 81 divisors (see below), whose sum is σ = 2977049257. Its totient is φ = 507500000.

The previous prime is 1314062467. The next prime is 1314062509. The reversal of 1314062500 is 52604131.

The square root of 1314062500 is 36250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 75585636 + 1238476864 = 8694^2 + 35192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314062509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45312486 + ... + 45312514.

Almost surely, 21314062500 is an apocalyptic number.

1314062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314062500 is the 36250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314062500

1314062500 is an abundant number, since it is smaller than the sum of its proper divisors (1662986757).

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

1314062500 is an frugal number, since it uses more digits than its factorization.

1314062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 1314062500 is about 1095.3140887799.

Adding to 1314062500 its reverse (52604131), we get a palindrome (1366666631).

The spelling of 1314062500 in words is "one billion, three hundred fourteen million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 841 1250 1450 1682 2500 2900 3125 3364 3625 4205 6250 7250 8410 12500 14500 15625 16820 18125 21025 31250 36250 42050 62500 72500 78125 84100 90625 105125 156250 181250 210250 312500 362500 390625 420500 453125 525625 781250 906250 1051250 1562500 1812500 2102500 2265625 2628125 4531250 5256250 9062500 10512500 11328125 13140625 22656250 26281250 45312500 52562500 65703125 131406250 262812500 328515625 657031250 1314062500