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14803445374432 = 2511132439566851
BaseRepresentation
bin1101011101101011001000…
…0110100101110111100000
31221102012021120010211221121
43113122302012211313200
53420014424003440212
651252335305502024
73055341114351031
oct327326206456740
957365246124847
1014803445374432
114798118a97170
1217b100baa1914
13834c60952300
143926c2212a88
151aa11190bd07
hexd76b21a5de0

14803445374432 has 144 divisors (see below), whose sum is σ = 34506049818240. Its totient is φ = 6197076288000.

The previous prime is 14803445374397. The next prime is 14803445374433. The reversal of 14803445374432 is 23447354430841.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 14803445374432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14803445374433) 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, 25831807 + ... + 26398657.

It is an arithmetic number, because the mean of its divisors is an integer number (239625345960).

Almost surely, 214803445374432 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 14803445374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253024909120).

14803445374432 is an abundant number, since it is smaller than the sum of its proper divisors (19702604443808).

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

14803445374432 is a wasteful number, since it uses less digits than its factorization.

14803445374432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567337 (or 567316 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 52.

The spelling of 14803445374432 in words is "fourteen trillion, eight hundred three billion, four hundred forty-five million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 439 572 676 878 1144 1352 1756 1859 2288 2704 3512 3718 4576 4829 5408 5707 7024 7436 9658 11414 14048 14872 19316 22828 29744 38632 45656 59488 62777 74191 77264 91312 125554 148382 154528 182624 251108 296764 502216 566851 593528 816101 1004432 1133702 1187056 1632202 2008864 2267404 2374112 3264404 4534808 6235361 6528808 7369063 9069616 12470722 13057616 14738126 18139232 24941444 26115232 29476252 49882888 58952504 81059693 95797819 99765776 117905008 162119386 191595638 199531552 235810016 248847589 324238772 383191276 497695178 648477544 766382552 995390356 1053776009 1296955088 1532765104 1990780712 2107552018 2593910176 2737323479 3065530208 3235018657 3981561424 4215104036 5474646958 6470037314 7963122848 8430208072 10949293916 12940074628 16860416144 21898587832 25880149256 33720832288 35585205227 42055242541 43797175664 51760298512 71170410454 84110485082 87594351328 103520597024 142340820908 168220970164 284681641816 336441940328 462607667951 569363283632 672883880656 925215335902 1138726567264 1345767761312 1850430671804 3700861343608 7401722687216 14803445374432