Search a number
-
+
1412365864900 = 22521188432
BaseRepresentation
bin10100100011010111100…
…100001100111111000100
312000000120012112211010011
4110203113210030333010
5141120011130134100
63000455410040004
7204016512525214
oct24432744147704
95000505484104
101412365864900
114a4a8778a651
121a9886579004
13a32547baab3
144c504a64244
1526b13a9ebba
hex148d790cfc4

1412365864900 has 27 divisors (see below), whose sum is σ = 3064859715981. Its totient is φ = 564941592240.

The previous prime is 1412365864831. The next prime is 1412365864913. The reversal of 1412365864900 is 94685632141.

The square root of 1412365864900 is 1188430.

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

It can be written as a sum of positive squares in only one way, i.e., 508451711364 + 903914153536 = 713058^2 + 950744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11824879 + ... + 11943721.

Almost surely, 21412365864900 is an apocalyptic number.

1412365864900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1412365864900 is the 1188430-th square number.

It is an amenable number.

1412365864900 is an abundant number, since it is smaller than the sum of its proper divisors (1652493851081).

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

1412365864900 is an frugal number, since it uses more digits than its factorization.

1412365864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237700 (or 118850 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 1412365864900 by its sum of digits (49), we get a square (69205927380100 = 83190102).

The spelling of 1412365864900 in words is "one trillion, four hundred twelve billion, three hundred sixty-five million, eight hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 118843 237686 475372 594215 1188430 2376860 2971075 5942150 11884300 14123658649 28247317298 56494634596 70618293245 141236586490 282473172980 353091466225 706182932450 1412365864900