Search a number
-
+
1304441000300 = 2252231103514187
BaseRepresentation
bin10010111110110110101…
…111100001000101101100
311121200222201212122100202
4102332312233201011230
5132332443344002200
62435130225413032
7163146156362204
oct22766657410554
94550881778322
101304441000300
11463234a35479
1219098679a178
13960151b4379
14471c72d7404
1523de8c5c1d5
hex12fb6be116c

1304441000300 has 72 divisors (see below), whose sum is σ = 2956391778816. Its totient is φ = 498637015360.

The previous prime is 1304441000281. The next prime is 1304441000377. The reversal of 1304441000300 is 30001444031.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279807 + ... + 2793993.

It is an arithmetic number, because the mean of its divisors is an integer number (41060996928).

Almost surely, 21304441000300 is an apocalyptic number.

1304441000300 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 1304441000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478195889408).

1304441000300 is an abundant number, since it is smaller than the sum of its proper divisors (1651950778516).

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

1304441000300 is a wasteful number, since it uses less digits than its factorization.

1304441000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515327 (or 515320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1304441000300 its reverse (30001444031), we get a palindrome (1334442444331).

The spelling of 1304441000300 in words is "one trillion, three hundred four billion, four hundred forty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1103 1150 2206 2300 4412 5515 11030 22060 25369 27575 50738 55150 101476 110300 126845 253690 507380 514187 634225 1028374 1268450 2056748 2536900 2570935 5141870 10283740 11826301 12854675 23652602 25709350 47305204 51418700 59131505 118263010 236526020 295657525 567148261 591315050 1134296522 1182630100 2268593044 2835741305 5671482610 11342965220 13044410003 14178706525 26088820006 28357413050 52177640012 56714826100 65222050015 130444100030 260888200060 326110250075 652220500150 1304441000300