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13444521302544 = 243598362119209
BaseRepresentation
bin1100001110100100101111…
…1010101001101000010000
31202121021122210202101212120
43003221023322221220100
53230233334423140134
644332154450454240
72555222525336313
oct303511372515020
952537583671776
1013444521302544
114313875860702
12161177ab94380
13766a74ca0a57
14346a0b04897a
15184ac9962649
hexc3a4bea9a10

13444521302544 has 160 divisors (see below), whose sum is σ = 35755536499200. Its totient is φ = 4351297121280.

The previous prime is 13444521302491. The next prime is 13444521302581. The reversal of 13444521302544 is 44520312544431.

It is a junction number, because it is equal to n+sod(n) for n = 13444521302496 and 13444521302505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459928212 + ... + 1459937420.

It is an arithmetic number, because the mean of its divisors is an integer number (223472103120).

Almost surely, 213444521302544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444521302544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877768249600).

13444521302544 is an abundant number, since it is smaller than the sum of its proper divisors (22311015196656).

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

13444521302544 is a wasteful number, since it uses less digits than its factorization.

13444521302544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15573 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 13444521302544 its reverse (44520312544431), we get a palindrome (57964833846975).

The spelling of 13444521302544 in words is "thirteen trillion, four hundred forty-four billion, five hundred twenty-one million, three hundred two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 83 118 166 177 236 249 332 354 472 498 664 708 944 996 1328 1416 1992 2832 3984 4897 6211 9209 9794 12422 14691 18418 18633 19588 24844 27627 29382 36836 37266 39176 49688 55254 58764 73672 74532 78352 99376 110508 117528 147344 149064 221016 235056 298128 366449 442032 515513 543331 732898 764347 1031026 1086662 1099347 1465796 1528694 1546539 1629993 2062052 2173324 2198694 2293041 2931592 3057388 3093078 3259986 4124104 4346648 4397388 4586082 5863184 6114776 6186156 6519972 8248208 8693296 8794776 9172164 12229552 12372312 13039944 17589552 18344328 24744624 26079888 30415267 36688656 45096473 57197099 60830534 90192946 91245801 114394198 121661068 135289419 171591297 180385892 182491602 228788396 243322136 270578838 343182594 360771784 364983204 457576792 486644272 541157676 686365188 721543568 729966408 915153584 1082315352 1372730376 1459932816 2164630704 2745460752 3374628841 4747359217 6749257682 9494718434 10123886523 13498515364 14242077651 18989436868 20247773046 26997030728 28484155302 37978873736 40495546092 53994061456 56968310604 75957747472 80991092184 113936621208 161982184368 227873242416 280094193803 560188387606 840282581409 1120376775212 1680565162818 2240753550424 3361130325636 4481507100848 6722260651272 13444521302544