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14111404544 = 292337139233
BaseRepresentation
bin11010010010001101…
…01111001000000000
31100102110002121212202
431021012233020000
5212400004421134
610252132212332
71006456650056
oct151106571000
940373077782
1014111404544
115a9157a106
122899a6a0a8
13143b716623
1497c1d61d6
15578cdbd7e
hex3491af200

14111404544 has 160 divisors (see below), whose sum is σ = 30564293760. Its totient is φ = 6491308032.

The previous prime is 14111404511. The next prime is 14111404547. The reversal of 14111404544 is 44540411141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14111404547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60563852 + ... + 60564084.

It is an arithmetic number, because the mean of its divisors is an integer number (191026836).

Almost surely, 214111404544 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 14111404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

14111404544 is an abundant number, since it is smaller than the sum of its proper divisors (16452889216).

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

14111404544 is a wasteful number, since it uses less digits than its factorization.

14111404544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 14111404544 its reverse (44540411141), we get a palindrome (58651815685).

The spelling of 14111404544 in words is "fourteen billion, one hundred eleven million, four hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 139 148 184 233 256 278 296 368 466 512 556 592 736 851 932 1112 1184 1472 1702 1864 2224 2368 2944 3197 3404 3728 4448 4736 5143 5359 5888 6394 6808 7456 8621 8896 9472 10286 10718 11776 12788 13616 14912 17242 17792 18944 20572 21436 25576 27232 29824 32387 34484 35584 41144 42872 51152 54464 59648 64774 68968 71168 82288 85744 102304 108928 118289 119296 129548 137936 164576 171488 198283 204608 217856 236578 259096 275872 329152 342976 396566 409216 435712 473156 518192 551744 658304 685952 744901 793132 818432 946312 1036384 1103488 1198319 1316608 1371904 1489802 1586264 1636864 1892624 2072768 2206976 2396638 2633216 2743808 2979604 3172528 3785248 4145536 4413952 4793276 5959208 6345056 7570496 8291072 9586552 11918416 12690112 15140992 16582144 19173104 23836832 25380224 27561337 30281984 38346208 47673664 50760448 55122674 60563968 76692416 95347328 101520896 110245348 153384832 190694656 220490696 306769664 381389312 440981392 613539328 881962784 1763925568 3527851136 7055702272 14111404544