Search a number
-
+
10144243004 = 2274367125753
BaseRepresentation
bin10010111001010010…
…01101110100111100
3222011222011221022212
421130221031310330
5131233411234004
64354334155552
7506245433330
oct113451156474
928158157285
1010144243004
114336184a05
121b71352bb8
13c58851b6c
146c338d7c0
153e58a196e
hex25ca4dd3c

10144243004 has 48 divisors (see below), whose sum is σ = 21070334208. Its totient is φ = 4183014528.

The previous prime is 10144243003. The next prime is 10144243033. The reversal of 10144243004 is 40034244101.

It is a happy number.

It is a super-2 number, since 2×101442430042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144243003) 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, 17792 + ... + 143544.

It is an arithmetic number, because the mean of its divisors is an integer number (438965296).

Almost surely, 210144243004 is an apocalyptic number.

10144243004 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 10144243004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535167104).

10144243004 is an abundant number, since it is smaller than the sum of its proper divisors (10926091204).

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

10144243004 is a wasteful number, since it uses less digits than its factorization.

10144243004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125874 (or 125872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10144243004 its reverse (40034244101), we get a palindrome (50178487105).

The spelling of 10144243004 in words is "ten billion, one hundred forty-four million, two hundred forty-three thousand, four".

Divisors: 1 2 4 7 14 28 43 67 86 134 172 268 301 469 602 938 1204 1876 2881 5762 11524 20167 40334 80668 125753 251506 503012 880271 1760542 3521084 5407379 8425451 10814758 16850902 21629516 33701804 37851653 58978157 75703306 117956314 151406612 235912628 362294393 724588786 1449177572 2536060751 5072121502 10144243004