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14388555108144 = 2437232118824043
BaseRepresentation
bin1101000101100001100010…
…1101110100111100110000
31212221112101010220120121210
43101120120231310330300
53341220230101430034
650334002211320120
73013352544312660
oct321303055647460
955845333816553
1014388555108144
114648174282378
121744721bb0040
13804ab1439019
1437a5a46321a0
1519e42cb778e9
hexd1618b74f30

14388555108144 has 160 divisors (see below), whose sum is σ = 44537561985024. Its totient is φ = 3913639107840.

The previous prime is 14388555108139. The next prime is 14388555108157. The reversal of 14388555108144 is 44180155588341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781414 + ... + 6042629.

Almost surely, 214388555108144 is an apocalyptic number.

14388555108144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14388555108144 is an abundant number, since it is smaller than the sum of its proper divisors (30149006876880).

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

14388555108144 is a wasteful number, since it uses less digits than its factorization.

14388555108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824295 (or 8824289 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 57.

The spelling of 14388555108144 in words is "fourteen trillion, three hundred eighty-eight billion, five hundred fifty-five million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 211 276 322 336 368 422 483 552 633 644 844 966 1104 1266 1288 1477 1688 1932 2532 2576 2954 3376 3864 4431 4853 5064 5908 7728 8862 9706 10128 11816 14559 17724 19412 23632 29118 33971 35448 38824 58236 67942 70896 77648 101913 116472 135884 203826 232944 271768 407652 543536 815304 1630608 8824043 17648086 26472129 35296172 52944258 61768301 70592344 105888516 123536602 141184688 185304903 202952989 211777032 247073204 370609806 405905978 423554064 494146408 608858967 741219612 811811956 988292816 1217717934 1420670923 1482439224 1623623912 1861873073 2435435868 2841341846 2964878448 3247247824 3723746146 4262012769 4870871736 5585619219 5682683692 7447492292 8524025538 9741743472 11171238438 11365367384 13033111511 14894984584 17048051076 22342476876 22730734768 26066223022 29789969168 34096102152 39099334533 42823080679 44684953752 52132446044 68192204304 78198669066 85646161358 89369907504 104264892088 128469242037 156397338132 171292322716 208529784176 256938484074 299761564753 312794676264 342584645432 513876968148 599523129506 625589352528 685169290864 899284694259 1027753936296 1199046259012 1798569388518 2055507872592 2398092518024 3597138777036 4796185036048 7194277554072 14388555108144