Search a number
-
+
1042310311224 = 2337133718171263
BaseRepresentation
bin11110010101011101000…
…10010010110100111000
310200122101101201221011220
433022232202102310320
5114034122414424344
62114455235152040
7135206264315040
oct17125642226470
93618341657156
101042310311224
1137204aaa7a56
1214a00b745620
137739bb93660
143863b7a8720
151c1a5ea9c19
hexf2ae892d38

1042310311224 has 256 divisors, whose sum is σ = 3312031457280. Its totient is φ = 265983989760.

The previous prime is 1042310311219. The next prime is 1042310311253. The reversal of 1042310311224 is 4221130132401.

1042310311224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1042310311194 and 1042310311203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14590617 + ... + 14661879.

It is an arithmetic number, because the mean of its divisors is an integer number (12937622880).

Almost surely, 21042310311224 is an apocalyptic number.

1042310311224 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 1042310311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656015728640).

1042310311224 is an abundant number, since it is smaller than the sum of its proper divisors (2269721146056).

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

1042310311224 is a wasteful number, since it uses less digits than its factorization.

1042310311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71510 (or 71506 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1042310311224 its reverse (4221130132401), we get a palindrome (5263440443625).

The spelling of 1042310311224 in words is "one trillion, forty-two billion, three hundred ten million, three hundred eleven thousand, two hundred twenty-four".