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13421302244224 = 277557248281
BaseRepresentation
bin1100001101001110001111…
…1100111110001110000000
31202112001201122000000202121
43003103203330332032000
53224343311333303344
644313354445454024
72553441244524610
oct303234374761600
952461648000677
1013421302244224
114304a40251506
12160917ab71314
137648147139a4
14345847416a40
151841bb2d1684
hexc34e3f3e380

13421302244224 has 96 divisors (see below), whose sum is σ = 30613022490960. Its totient is φ = 5741541027840.

The previous prime is 13421302244137. The next prime is 13421302244237. The reversal of 13421302244224 is 42244220312431.

13421302244224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13421302244224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277958964 + ... + 278007244.

Almost surely, 213421302244224 is an apocalyptic number.

13421302244224 is a gapful number since it is divisible by the number (14) 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 13421302244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306511245480).

13421302244224 is an abundant number, since it is smaller than the sum of its proper divisors (17191720246736).

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

13421302244224 is an frugal number, since it uses more digits than its factorization.

13421302244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49416 (or 48847 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 13421302244224 its reverse (42244220312431), we get a palindrome (55665522556655).

The spelling of 13421302244224 in words is "thirteen trillion, four hundred twenty-one billion, three hundred two million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 557 896 1114 2228 3899 4456 7798 8912 15596 17824 31192 35648 48281 62384 71296 96562 124768 193124 249536 310249 337967 386248 499072 620498 675934 772496 1240996 1351868 1544992 2171743 2481992 2703736 3089984 4343486 4963984 5407472 6179968 8686972 9927968 10814944 17373944 19855936 21629888 26892517 34747888 39711872 43259776 53785034 69495776 107570068 138991552 188247619 215140136 277983104 376495238 430280272 752990476 860560544 1505980952 1721121088 3011961904 3442242176 6023923808 12047847616 14979131969 24095695232 29958263938 59916527876 104853923783 119833055752 209707847566 239666111504 419415695132 479332223008 838831390264 958664446016 1677662780528 1917328892032 3355325561056 6710651122112 13421302244224