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14205229266112 = 261723647877379
BaseRepresentation
bin1100111010110110100110…
…1001001111010011000000
31212022000011211222212210121
43032231221221033103000
53330214302143003422
650113443042310024
72664202552340263
oct316555151172300
955260154885717
1014205229266112
114587449655915
12171509a658314
137c0716764c11
14371772c50cda
1519979d4b48c7
hexceb69a4f4c0

14205229266112 has 112 divisors (see below), whose sum is σ = 31192501455360. Its totient is φ = 6384279621632.

The previous prime is 14205229266103. The next prime is 14205229266121. The reversal of 14205229266112 is 21166292250241.

14205229266112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14205229266103) and next prime (14205229266121).

It is a super-2 number, since 2×142052292661122 (a number of 27 digits) contains 22 as substring.

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, 15751839 + ... + 16629217.

It is an arithmetic number, because the mean of its divisors is an integer number (278504477280).

Almost surely, 214205229266112 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 14205229266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596250727680).

14205229266112 is an abundant number, since it is smaller than the sum of its proper divisors (16987272189248).

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

14205229266112 is a wasteful number, since it uses less digits than its factorization.

14205229266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878078 (or 878068 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 14205229266112 in words is "fourteen trillion, two hundred five billion, two hundred twenty-nine million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 647 736 782 1088 1294 1472 1564 2588 3128 5176 6256 10352 10999 12512 14881 20704 21998 25024 29762 41408 43996 59524 87992 119048 175984 238096 252977 351968 476192 505954 703936 877379 952384 1011908 1754758 2023816 3509516 4047632 7019032 8095264 14038064 14915443 16190528 20179717 28076128 29830886 40359434 56152256 59661772 80718868 119323544 161437736 238647088 322875472 343055189 477294176 567664213 645750944 686110378 954588352 1135328426 1291501888 1372220756 2270656852 2744441512 4541313704 5488883024 9082627408 9650291621 10977766048 13056276899 18165254816 19300583242 21955532096 26112553798 36330509632 38601166484 52225107596 77202332968 104450215192 154404665936 208900430384 221956707283 308809331872 417800860768 443913414566 617618663744 835601721536 887826829132 1775653658264 3551307316528 7102614633056 14205229266112