Search a number
-
+
13144305453444 = 22321170979467641
BaseRepresentation
bin1011111101000110010110…
…1010000100100110000100
31201112120202020200002211100
42333101211222010212010
53210324014144002234
643542224403140100
72524434066616164
oct277214552044604
951476666602740
1013144305453444
114208517836820
121583555374630
1374466c528ba9
1433628b39a5a4
1517bda8368399
hexbf465a84984

13144305453444 has 72 divisors (see below), whose sum is σ = 36247006242720. Its totient is φ = 3983058230400.

The previous prime is 13144305453443. The next prime is 13144305453449. The reversal of 13144305453444 is 44435450344131.

13144305453444 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 30 + 545 + 34 + 44 = 666.

It is a super-2 number, since 2×131443054534442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13144305453444.

It is not an unprimeable number, because it can be changed into a prime (13144305453443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27873864 + ... + 28341504.

It is an arithmetic number, because the mean of its divisors is an integer number (503430642260).

Almost surely, 213144305453444 is an apocalyptic number.

It is an amenable number.

13144305453444 is an abundant number, since it is smaller than the sum of its proper divisors (23102700789276).

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

13144305453444 is a wasteful number, since it uses less digits than its factorization.

13144305453444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538641 (or 538636 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 13144305453444 its reverse (44435450344131), we get a palindrome (57579755797575).

The spelling of 13144305453444 in words is "thirteen trillion, one hundred forty-four billion, three hundred five million, four hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 70979 141958 212937 283916 425874 467641 638811 780769 851748 935282 1277622 1402923 1561538 1870564 2342307 2555244 2805846 3123076 4208769 4684614 5144051 5611692 7026921 8417538 9369228 10288102 14053842 15432153 16835076 20576204 28107684 30864306 46296459 61728612 92592918 185185836 33192690539 66385381078 99578071617 132770762156 199156143234 298734214851 365119595929 398312286468 597468429702 730239191858 1095358787787 1194936859404 1460478383716 2190717575574 3286076363361 4381435151148 6572152726722 13144305453444