Search a number
-
+
13440020541200 = 24521117179679419
BaseRepresentation
bin1100001110010011111110…
…1001100110111100010000
31202120212001010210000222222
43003210333221212330100
53230200130224304300
644330132111520212
72555003144445161
oct303447751467420
952525033700888
1013440020541200
114311976240030
121610923829068
137665086bb866
143467013c1768
15184914773785
hexc393fa66f10

13440020541200 has 120 divisors (see below), whose sum is σ = 37297135285920. Its totient is φ = 4599793100800.

The previous prime is 13440020541197. The next prime is 13440020541203. The reversal of 13440020541200 is 214502004431.

It is an interprime number because it is at equal distance from previous prime (13440020541197) and next prime (13440020541203).

It is a self number, because there is not a number n which added to its sum of digits gives 13440020541200.

It is not an unprimeable number, because it can be changed into a prime (13440020541203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89764910 + ... + 89914509.

It is an arithmetic number, because the mean of its divisors is an integer number (310809460716).

Almost surely, 213440020541200 is an apocalyptic number.

13440020541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440020541200 is an abundant number, since it is smaller than the sum of its proper divisors (23857114744720).

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

13440020541200 is a wasteful number, since it uses less digits than its factorization.

13440020541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179679465 (or 179679454 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 13440020541200 its reverse (214502004431), we get a palindrome (13654522545631).

The spelling of 13440020541200 in words is "thirteen trillion, four hundred forty billion, twenty million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 179679419 359358838 718717676 898397095 1437435352 1796794190 1976473609 2874870704 3054550123 3593588380 3952947218 4491985475 6109100246 7187176760 7905894436 8983970950 9882368045 12218200492 14374353520 15272750615 15811788872 17967941900 19764736090 24436400984 30545501230 31623577744 33600051353 35935883800 39529472180 48872801968 49411840225 61091002460 67200102706 71871767600 76363753075 79058944360 98823680450 122182004920 134400205412 152727506150 158117888720 168000256765 197647360900 244364009840 268800410824 305455012300 336000513530 395294721800 537600821648 610910024600 672001027060 790589443600 840001283825 1221820049200 1344002054120 1680002567650 2688004108240 3360005135300 6720010270600 13440020541200