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14314434422022 = 2327149787968819
BaseRepresentation
bin1101000001001101011011…
…0001110110010100000110
31212200110001112202121001200
43100103112301312110012
53334011430203001042
650235543240003330
73005120013010110
oct320232661662406
955613045677050
1014314434422022
114619799066889
121732297160546
137caacb395977
14376b7264c3b0
1519c540902c4c
hexd04d6c76506

14314434422022 has 96 divisors (see below), whose sum is σ = 35728531488000. Its totient is φ = 4057223770944.

The previous prime is 14314434421949. The next prime is 14314434422053. The reversal of 14314434422022 is 22022443441341.

14314434422022 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 4 + 3 + 442 + 202 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14290729 + ... + 15259547.

It is an arithmetic number, because the mean of its divisors is an integer number (372172203000).

Almost surely, 214314434422022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314434422022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864265744000).

14314434422022 is an abundant number, since it is smaller than the sum of its proper divisors (21414097065978).

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

14314434422022 is a wasteful number, since it uses less digits than its factorization.

14314434422022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969770 (or 969767 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14314434422022 its reverse (22022443441341), we get a palindrome (36336877863363).

The spelling of 14314434422022 in words is "fourteen trillion, three hundred fourteen billion, four hundred thirty-four million, four hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 787 894 1043 1341 1574 2086 2361 2682 3129 4722 5509 6258 7083 9387 11018 14166 16527 18774 33054 49581 99162 117263 234526 351789 703578 820841 968819 1055367 1641682 1937638 2110734 2462523 2906457 4925046 5812914 6781733 7387569 8719371 13563466 14775138 17438742 20345199 40690398 61035597 122071194 144354031 288708062 433062093 762460553 866124186 1010478217 1299186279 1524921106 2020956434 2287381659 2598372558 3031434651 4574763318 5337223871 6062869302 6862144977 9094303953 10674447742 13724289954 16011671613 18188607906 32023343226 48035014839 96070029678 113606622397 227213244794 340819867191 681639734382 795246356779 1022459601573 1590492713558 2044919203146 2385739070337 4771478140674 7157217211011 14314434422022