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14445240546636 = 223219612383145283
BaseRepresentation
bin1101001000110100101101…
…1011100111010101001100
31220010221200122120012202200
43102031023123213111030
53343132323034443021
650420015113121500
73020430345510024
oct322151333472514
956127618505680
1014445240546636
11466a21277a2a9
1217537019b9290
1380a246285cc3
1437d220bd8a84
151a0b493ed126
hexd234b6e754c

14445240546636 has 144 divisors (see below), whose sum is σ = 39082930199040. Its totient is φ = 4484959943040.

The previous prime is 14445240546619. The next prime is 14445240546643. The reversal of 14445240546636 is 63664504254441.

14445240546636 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 52 + 40 + 546 + 6 + 3 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 99355651 + ... + 99500933.

Almost surely, 214445240546636 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 14445240546636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541465099520).

14445240546636 is an abundant number, since it is smaller than the sum of its proper divisors (24637689652404).

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

14445240546636 is a wasteful number, since it uses less digits than its factorization.

14445240546636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147756 (or 147751 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 14445240546636 in words is "fourteen trillion, four hundred forty-five billion, two hundred forty million, five hundred forty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 2383 3477 4636 4766 6954 7149 9532 10431 13908 14298 20862 21447 28596 41724 42894 45277 85788 90554 135831 145283 145363 181108 271662 290566 290726 407493 435849 436089 543324 581132 581452 814986 871698 872178 1307547 1308267 1629972 1743396 1744356 2615094 2616534 2760377 2761897 5230188 5233068 5520754 5523794 8281131 8285691 8862263 11041508 11047588 16562262 16571382 17724526 24843393 24857073 26586789 33124524 33142764 35449052 49686786 49714146 53173578 79760367 99373572 99428292 106347156 159520734 168382997 319041468 336765994 346209389 505148991 673531988 692418778 1010297982 1038628167 1384837556 1515446973 2020595964 2077256334 3030893946 3115884501 4154512668 6061787892 6231769002 6577978391 12463538004 13155956782 19733935173 21118772729 26311913564 39467870346 42237545458 59201805519 63356318187 78935740692 84475090916 118403611038 126712636374 190068954561 236807222076 253425272748 380137909122 401256681851 760275818244 802513363702 1203770045553 1605026727404 2407540091106 3611310136659 4815080182212 7222620273318 14445240546636