Search a number
-
+
1013000044 = 2272910511187
BaseRepresentation
bin111100011000010…
…010011101101100
32121121010201211011
4330120102131230
54033312000134
6244304035004
734050233620
oct7430223554
92547121734
101013000044
1147a8a2a21
12243302a64
13131b3c414
1498773180
155dded264
hex3c61276c

1013000044 has 48 divisors (see below), whose sum is σ = 2099623680. Its totient is φ = 418420800.

The previous prime is 1013000041. The next prime is 1013000059. The reversal of 1013000044 is 4400003101.

1013000044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012999988 and 1013000033.

It is not an unprimeable number, because it can be changed into a prime (1013000041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852819 + ... + 854005.

It is an arithmetic number, because the mean of its divisors is an integer number (43742160).

Almost surely, 21013000044 is an apocalyptic number.

1013000044 is a gapful number since it is divisible by the number (14) 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 1013000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049811840).

1013000044 is an abundant number, since it is smaller than the sum of its proper divisors (1086623636).

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

1013000044 is a wasteful number, since it uses less digits than its factorization.

1013000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1013000044 is about 31827.6616169017. The cubic root of 1013000044 is about 1004.3147045495.

Adding to 1013000044 its reverse (4400003101), we get a palindrome (5413003145).

The spelling of 1013000044 in words is "one billion, thirteen million, forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1051 1187 2102 2374 4204 4748 7357 8309 14714 16618 29428 30479 33236 34423 60958 68846 121916 137692 213353 240961 426706 481922 853412 963844 1247537 2495074 4990148 8732759 17465518 34931036 36178573 72357146 144714292 253250011 506500022 1013000044