Search a number
-
+
1311242520224 = 257131267135537
BaseRepresentation
bin10011000101001100001…
…001010000011010100000
311122100112202010122200002
4103011030021100122200
5132440411041121344
62442213153515132
7163506545344310
oct23051411203240
94570482118602
101311242520224
1146610524501a
12192164572aa8
139685a345a80
1447670749440
1524195e1c44e
hex1314c2506a0

1311242520224 has 96 divisors (see below), whose sum is σ = 3177581654016. Its totient is φ = 518677770240.

The previous prime is 1311242520191. The next prime is 1311242520227. The reversal of 1311242520224 is 4220252421131.

It is not an unprimeable number, because it can be changed into a prime (1311242520227) 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, 36880184 + ... + 36915720.

It is an arithmetic number, because the mean of its divisors is an integer number (33099808896).

Almost surely, 21311242520224 is an apocalyptic number.

1311242520224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311242520224 is an abundant number, since it is smaller than the sum of its proper divisors (1866339133792).

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

1311242520224 is a wasteful number, since it uses less digits than its factorization.

1311242520224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48238 (or 48230 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1311242520224 its reverse (4220252421131), we get a palindrome (5531494941355).

The spelling of 1311242520224 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 12671 25342 35537 50684 71074 88697 101368 142148 164723 177394 202736 248759 284296 329446 354788 405472 461981 497518 568592 658892 709576 923962 995036 1137184 1153061 1317784 1419152 1847924 1990072 2306122 2635568 2838304 3233867 3695848 3980144 4612244 5271136 6467734 7391696 7960288 9224488 12935468 14783392 18448976 25870936 36897952 51741872 103483744 450289327 900578654 1801157308 3152025289 3602314616 5853761251 6304050578 7204629232 11707522502 12608101156 14409258464 23415045004 25216202312 40976328757 46830090008 50432404624 81952657514 93660180016 100864809248 163905315028 187320360032 327810630056 655621260112 1311242520224