Search a number
-
+
1013774038224 = 243295711275457
BaseRepresentation
bin11101100000010011010…
…01000011010011010000
310120220201122201001202220
432300021221003103100
5113102202123210344
62053415451541040
7133146160100613
oct16601151032320
93526648631686
101013774038224
11360a37019762
12144586a5a780
13747a1b3050c
14370d190017a
151b585b12c19
hexec09a434d0

1013774038224 has 80 divisors (see below), whose sum is σ = 2713970550720. Its totient is φ = 325700444160.

The previous prime is 1013774038223. The next prime is 1013774038301. The reversal of 1013774038224 is 4228304773101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013774038223) 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, 157104 + ... + 1432560.

It is an arithmetic number, because the mean of its divisors is an integer number (33924631884).

Almost surely, 21013774038224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013774038224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356985275360).

1013774038224 is an abundant number, since it is smaller than the sum of its proper divisors (1700196512496).

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

1013774038224 is a wasteful number, since it uses less digits than its factorization.

1013774038224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276068 (or 1276062 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 1013774038224 in words is "one trillion, thirteen billion, seven hundred seventy-four million, thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 571 696 1142 1392 1713 2284 3426 4568 6852 9136 13704 16559 27408 33118 49677 66236 99354 132472 198708 264944 397416 794832 1275457 2550914 3826371 5101828 7652742 10203656 15305484 20407312 30610968 36988253 61221936 73976506 110964759 147953012 221929518 295906024 443859036 591812048 728285947 887718072 1456571894 1775436144 2184857841 2913143788 4369715682 5826287576 8739431364 11652575152 17478862728 21120292463 34957725456 42240584926 63360877389 84481169852 126721754778 168962339704 253443509556 337924679408 506887019112 1013774038224