Search a number
-
+
1140100444 = 2274176983
BaseRepresentation
bin100001111110100…
…1000110101011100
32221110022002210101
41003331020311130
54313331203234
6305044150444
740152460000
oct10375106534
92843262711
101140100444
1153561437a
12279998424
13152281162
14ab5ba700
156a157814
hex43f48d5c

1140100444 has 60 divisors (see below), whose sum is σ = 2464835184. Its totient is φ = 459806592.

The previous prime is 1140100441. The next prime is 1140100459. The reversal of 1140100444 is 4440010411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140100441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159777 + ... + 166759.

Almost surely, 21140100444 is an apocalyptic number.

1140100444 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 1140100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232417592).

1140100444 is an abundant number, since it is smaller than the sum of its proper divisors (1324734740).

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

1140100444 is an equidigital number, since it uses as much as digits as its factorization.

1140100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1140100444 is about 33765.3734467724. The cubic root of 1140100444 is about 1044.6746066858.

Adding to 1140100444 its reverse (4440010411), we get a palindrome (5580110855).

The spelling of 1140100444 in words is "one billion, one hundred forty million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2401 3332 4802 5831 6983 9604 11662 13966 23324 27932 40817 48881 81634 97762 118711 163268 195524 237422 342167 474844 684334 830977 1368668 1661954 2395169 3323908 4790338 5816839 9580676 11633678 16766183 23267356 33532366 40717873 67064732 81435746 162871492 285025111 570050222 1140100444