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14144285584296 = 2333719492351907
BaseRepresentation
bin1100110111010011100100…
…0111100010101110101000
31212002011212120201001222000
43031310321013202232220
53323214444102144141
650025443423531000
72656614403522530
oct315647107425650
955064776631860
1014144285584296
11456361552072a
121705310759a60
137b7a53658a2a
1436c830d104c0
15197dd2ea75b6
hexcdd391e2ba8

14144285584296 has 128 divisors (see below), whose sum is σ = 47265783168000. Its totient is φ = 3828528421056.

The previous prime is 14144285584259. The next prime is 14144285584313. The reversal of 14144285584296 is 69248558244141.

14144285584296 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 4 + 28 + 5 + 584 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 246147226 + ... + 246204681.

It is an arithmetic number, because the mean of its divisors is an integer number (369263931000).

Almost surely, 214144285584296 is an apocalyptic number.

It is an amenable number.

14144285584296 is an abundant number, since it is smaller than the sum of its proper divisors (33121497583704).

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

14144285584296 is a wasteful number, since it uses less digits than its factorization.

14144285584296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492351948 (or 492351938 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 14144285584296 in words is "fourteen trillion, one hundred forty-four billion, two hundred eighty-five million, five hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 492351907 984703814 1477055721 1969407628 2954111442 3446463349 3938815256 4431167163 5908222884 6892926698 8862334326 9354686233 10339390047 11816445768 13293501489 13785853396 17724668652 18709372466 20678780094 26587002978 27571706792 28064058699 31018170141 35449337304 37418744932 41357560188 53174005956 56128117398 62036340282 65482803631 74837489864 82715120376 84192176097 93054510423 106348011912 112256234796 124072680564 130965607262 168384352194 186109020846 196448410893 224512469592 248145361128 252576528291 261931214524 336768704388 372218041692 392896821786 505153056582 523862429048 589345232679 673537408776 744436083384 785793643572 1010306113164 1178690465358 1571587287144 1768035698037 2020612226328 2357380930716 3536071396074 4714761861432 7072142792148 14144285584296