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14542248604416 = 283137319952813
BaseRepresentation
bin1101001110011110000110…
…0011111111001100000000
31220111020002022100010212120
43103213201203333030000
53401230011120320131
650532341120324240
73030433322422641
oct323474143771400
956436068303776
1014542248604416
1146a7373248985
12176a475773680
13816435c72a20
14383bc474d6c8
151a3425b36496
hexd39e18ff300

14542248604416 has 144 divisors (see below), whose sum is σ = 42251759681376. Its totient is φ = 4413242769408.

The previous prime is 14542248604379. The next prime is 14542248604439. The reversal of 14542248604416 is 61440684224541.

14542248604416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145422486044162 (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, 9247575 + ... + 10705238.

Almost surely, 214542248604416 is an apocalyptic number.

14542248604416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14542248604416 is an abundant number, since it is smaller than the sum of its proper divisors (27709511076960).

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

14542248604416 is a wasteful number, since it uses less digits than its factorization.

14542248604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19952918 (or 19952904 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 14542248604416 in words is "fourteen trillion, five hundred forty-two billion, two hundred forty-eight million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 256 292 312 384 416 438 584 624 768 832 876 949 1168 1248 1664 1752 1898 2336 2496 2847 3328 3504 3796 4672 4992 5694 7008 7592 9344 9984 11388 14016 15184 18688 22776 28032 30368 45552 56064 60736 91104 121472 182208 242944 364416 728832 19952813 39905626 59858439 79811252 119716878 159622504 239433756 259386569 319245008 478867512 518773138 638490016 778159707 957735024 1037546276 1276980032 1456555349 1556319414 1915470048 2075092552 2553960064 2913110698 3112638828 3830940096 4150185104 4369666047 5107920128 5826221396 6225277656 7661880192 8300370208 8739332094 11652442792 12450555312 15323760384 16600740416 17478664188 18935219537 23304885584 24901110624 33201480832 34957328376 37870439074 46609771168 49802221248 56805658611 66402961664 69914656752 75740878148 93219542336 99604442496 113611317222 139829313504 151481756296 186439084672 199208884992 227222634444 279658627008 302963512592 372878169344 454445268888 559317254016 605927025184 908890537776 1118634508032 1211854050368 1817781075552 2423708100736 3635562151104 4847416201472 7271124302208 14542248604416