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14346180096 = 293127251293
BaseRepresentation
bin11010101110001100…
…10101011000000000
31101000210212110101120
431113012111120000
5213340110230341
610331320232240
71015340342643
oct152706253000
941023773346
1014346180096
1160a2054496
12294460b680
131478258481
149a146ba5a
1558e715066
hex357195600

14346180096 has 160 divisors (see below), whose sum is σ = 38805516288. Its totient is φ = 4709376000.

The previous prime is 14346180083. The next prime is 14346180119. The reversal of 14346180096 is 69008164341.

It is a congruent number.

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, 48962926 + ... + 48963218.

Almost surely, 214346180096 is an apocalyptic number.

14346180096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14346180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402758144).

14346180096 is an abundant number, since it is smaller than the sum of its proper divisors (24459336192).

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

14346180096 is a wasteful number, since it uses less digits than its factorization.

14346180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14346180096 in words is "fourteen billion, three hundred forty-six million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 251 254 256 293 381 384 502 508 512 586 753 762 768 879 1004 1016 1172 1506 1524 1536 1758 2008 2032 2344 3012 3048 3516 4016 4064 4688 6024 6096 7032 8032 8128 9376 12048 12192 14064 16064 16256 18752 24096 24384 28128 31877 32128 32512 37211 37504 48192 48768 56256 63754 64256 65024 73543 74422 75008 95631 96384 97536 111633 112512 127508 128512 147086 148844 150016 191262 192768 195072 220629 223266 225024 255016 294172 297688 382524 385536 441258 446532 450048 510032 588344 595376 765048 882516 893064 1020064 1176688 1190752 1530096 1765032 1786128 2040128 2353376 2381504 3060192 3530064 3572256 4080256 4706752 4763008 6120384 7060128 7144512 8160512 9339961 9413504 9526016 12240768 14120256 14289024 16321024 18679922 18827008 19052032 24481536 28019883 28240512 28578048 37359844 37654016 48963072 56039766 56481024 57156096 74719688 112079532 112962048 149439376 224159064 298878752 448318128 597757504 896636256 1195515008 1793272512 2391030016 3586545024 4782060032 7173090048 14346180096