Search a number
-
+
14445339720448 = 28713967641239
BaseRepresentation
bin1101001000110101000101…
…0101111011101100000000
31220010221221120011202122211
43102031101111323230000
53343133023432023243
650420033014511504
73020432661461350
oct322152125735400
956127846152584
1014445339720448
11466a26375702a
12175372b065594
1380a26099a730
1437d230052b60
151a0b52e8cd9d
hexd235157bb00

14445339720448 has 144 divisors (see below), whose sum is σ = 35525065354240. Its totient is φ = 5708721328128.

The previous prime is 14445339720421. The next prime is 14445339720463. The reversal of 14445339720448 is 84402793354441.

It is a junction number, because it is equal to n+sod(n) for n = 14445339720392 and 14445339720401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22206613 + ... + 22847851.

Almost surely, 214445339720448 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 14445339720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762532677120).

14445339720448 is an abundant number, since it is smaller than the sum of its proper divisors (21079725633792).

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

14445339720448 is an equidigital number, since it uses as much as digits as its factorization.

14445339720448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642242 (or 642228 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 14445339720448 in words is "fourteen trillion, four hundred forty-five billion, three hundred thirty-nine million, seven hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 967 1456 1664 1792 1934 2912 3328 3868 5824 6769 7736 11648 12571 13538 15472 23296 25142 27076 30944 50284 54152 61888 87997 100568 108304 123776 175994 201136 216608 247552 351988 402272 433216 641239 703976 804544 866432 1282478 1407952 1609088 1732864 2564956 2815904 3218176 4488673 5129912 5631808 8336107 8977346 10259824 11263616 16672214 17954692 20519648 22527232 33344428 35909384 41039296 58352749 66688856 71818768 82078592 116705498 133377712 143637536 164157184 233410996 266755424 287275072 466821992 533510848 574550144 620078113 933643984 1067021696 1149100288 1240156226 1867287968 2134043392 2480312452 3734575936 4340546791 4960624904 7469151872 8061015469 8681093582 9921249808 14938303744 16122030938 17362187164 19842499616 32244061876 34724374328 39684999232 56427108283 64488123752 69448748656 79369998464 112854216566 128976247504 138897497312 158739996928 225708433132 257952495008 277794994624 451416866264 515904990016 555589989248 902833732528 1031809980032 1111179978496 1805667465056 2063619960064 3611334930112 7222669860224 14445339720448