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14095489324816 = 247921094
BaseRepresentation
bin1100110100011101110010…
…1000100101011100010000
31211220111220212221020220101
43031013130220211130100
53321420030231343231
645551213422422144
72653236236254414
oct315073450453420
954814825836811
1014095489324816
114544955289759
1216b7972a31954
137b32780bcc03
1436a322404d44
151969c913b661
hexcd1dca25710

14095489324816 has 75 divisors (see below), whose sum is σ = 27916194682131. Its totient is φ = 6894692955072.

The previous prime is 14095489324769. The next prime is 14095489324913. The reversal of 14095489324816 is 61842398459041.

The square root of 14095489324816 is 3754396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2188020806416 + 11907468518400 = 1479196^2 + 3450720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129316415770 + ... + 129316415878.

Almost surely, 214095489324816 is an apocalyptic number.

14095489324816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14095489324816 is the 3754396-th square number.

It is an amenable number.

14095489324816 is a deficient number, since it is larger than the sum of its proper divisors (13820705357315).

14095489324816 is an frugal number, since it uses more digits than its factorization.

14095489324816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 14095489324816 by its sum of digits (64), we get a square (902111316788224 = 300351682).

The spelling of 14095489324816 in words is "fourteen trillion, ninety-five billion, four hundred eighty-nine million, three hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 79 109 158 218 316 436 632 872 1264 1744 6241 8611 11881 12482 17222 23762 24964 34444 47524 49928 68888 95048 99856 137776 190096 680269 938599 1295029 1360538 1877198 2590058 2721076 3754396 5180116 5442152 7508792 10360232 10884304 15017584 20720464 74149321 102307291 141158161 148298642 204614582 282316322 296597284 409229164 564632644 593194568 818458328 1129265288 1186389136 1636916656 2258530576 8082275989 11151494719 16164551978 22302989438 32329103956 44605978876 64658207912 89211957752 129316415824 178423915504 880968082801 1761936165602 3523872331204 7047744662408 14095489324816