Search a number
-
+
1314211402452 = 2231373167691037
BaseRepresentation
bin10011000111111101000…
…110101001001011010100
311122122012122121111110010
4103013331012221023110
5133013001104334302
62443423531200220
7163643245414524
oct23077506511324
94578178544403
101314211402452
114673990911a3
121928528a6070
1396c11453610
1447872b71684
15242bb8b616c
hex131fd1a92d4

1314211402452 has 96 divisors (see below), whose sum is σ = 3367665891072. Its totient is φ = 396444589056.

The previous prime is 1314211402397. The next prime is 1314211402459. The reversal of 1314211402452 is 2542041124131.

It is a super-2 number, since 2×13142114024522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314211402459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556278 + ... + 2247314.

It is an arithmetic number, because the mean of its divisors is an integer number (35079853032).

Almost surely, 21314211402452 is an apocalyptic number.

1314211402452 is a gapful number since it is divisible by the number (12) 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 1314211402452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683832945536).

1314211402452 is an abundant number, since it is smaller than the sum of its proper divisors (2053454488620).

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

1314211402452 is a wasteful number, since it uses less digits than its factorization.

1314211402452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691297 (or 691295 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1314211402452 its reverse (2542041124131), we get a palindrome (3856252526583).

The spelling of 1314211402452 in words is "one trillion, three hundred fourteen billion, two hundred eleven million, four hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 167 219 292 334 438 501 668 876 949 1002 1898 2004 2171 2847 3796 4342 5694 6513 8684 11388 12191 13026 24382 26052 36573 48764 73146 146292 158483 316966 475449 633932 691037 950898 1382074 1901796 2073111 2764148 4146222 8292444 8983481 17966962 26950443 35933924 50445701 53900886 100891402 107801772 115403179 151337103 201782804 230806358 302674206 346209537 461612716 605348412 655794113 692419074 1311588226 1384838148 1500241327 1967382339 2623176452 3000482654 3934764678 4500723981 6000965308 7869529356 8424432067 9001447962 16848864134 18002895924 25273296201 33697728268 50546592402 101093184804 109517616871 219035233742 328552850613 438070467484 657105701226 1314211402452