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14121409273344 = 29331487686963
BaseRepresentation
bin1100110101111110010110…
…0101010101111000000000
31211222222211021220001212000
43031133211211111320000
53322331121233221334
650011141425104000
72655144454220442
oct315374545257000
954888737801760
1014121409273344
11455494643271a
1217009a7488000
137b58490b5969
1436b6a0a1c492
151974e497b299
hexcd7e5955e00

14121409273344 has 160 divisors (see below), whose sum is σ = 41828523517440. Its totient is φ = 4703964051456.

The previous prime is 14121409273339. The next prime is 14121409273357. The reversal of 14121409273344 is 44337290412141.

14121409273344 is a `hidden beast` number, since 1 + 4 + 1 + 214 + 0 + 92 + 7 + 3 + 344 = 666.

14121409273344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14121409273344.

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, 20212807 + ... + 20899769.

It is an arithmetic number, because the mean of its divisors is an integer number (261428271984).

Almost surely, 214121409273344 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 14121409273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914261758720).

14121409273344 is an abundant number, since it is smaller than the sum of its proper divisors (27707114244096).

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

14121409273344 is an equidigital number, since it uses as much as digits as its factorization.

14121409273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688477 (or 688455 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 14121409273344 its reverse (44337290412141), we get a palindrome (58458699685485).

The spelling of 14121409273344 in words is "fourteen trillion, one hundred twenty-one billion, four hundred nine million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1487 1536 1728 2304 2974 3456 4461 4608 5948 6912 8922 11896 13383 13824 17844 23792 26766 35688 40149 47584 53532 71376 80298 95168 107064 142752 160596 190336 214128 285504 321192 380672 428256 571008 642384 686963 761344 856512 1142016 1284768 1373926 1713024 2060889 2284032 2569536 2747852 3426048 4121778 5139072 5495704 6182667 6852096 8243556 10278144 10991408 12365334 16487112 18548001 20556288 21982816 24730668 32974224 37096002 43965632 49461336 65948448 74192004 87931264 98922672 131896896 148384008 175862528 197845344 263793792 296768016 351725056 395690688 527587584 593536032 791381376 1021513981 1055175168 1187072064 1582762752 2043027962 2374144128 3064541943 3165525504 4086055924 4748288256 6129083886 8172111848 9193625829 9496576512 12258167772 16344223696 18387251658 24516335544 27580877487 32688447392 36774503316 49032671088 55161754974 65376894784 73549006632 98065342176 110323509948 130753789568 147098013264 196130684352 220647019896 261507579136 294196026528 392261368704 441294039792 523015158272 588392053056 784522737408 882588079584 1176784106112 1569045474816 1765176159168 2353568212224 3530352318336 4707136424448 7060704636672 14121409273344