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14550379734016 = 21072170292
BaseRepresentation
bin1101001110111100011000…
…1101110010010000000000
31220112000001222111022202201
43103233012031302100000
53401343134202442031
650540204022522544
73031141655040100
oct323570615622000
956460058438681
1014550379734016
1146aa8660399a5
12176bb64896454
13817130708809
143843565cd200
151a374e8d4d61
hexd3bc6372400

14550379734016 has 99 divisors (see below), whose sum is σ = 33837361664409. Its totient is φ = 6235510837248.

The previous prime is 14550379733993. The next prime is 14550379734157. The reversal of 14550379734016 is 61043797305541.

The square root of 14550379734016 is 3814496.

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

It can be written as a sum of positive squares in only one way, i.e., 11636940399616 + 2913439334400 = 3411296^2 + 1706880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 854438590 + ... + 854455618.

Almost surely, 214550379734016 is an apocalyptic number.

14550379734016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14550379734016 is the 3814496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14550379734016

14550379734016 is an abundant number, since it is smaller than the sum of its proper divisors (19286981930393).

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

14550379734016 is an frugal number, since it uses more digits than its factorization.

14550379734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34092 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 14550379734016 in words is "fourteen trillion, five hundred fifty billion, three hundred seventy-nine million, seven hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 17029 25088 34058 50176 68116 119203 136232 238406 272464 476812 544928 834421 953624 1089856 1668842 1907248 2179712 3337684 3814496 4359424 6675368 7628992 8718848 13350736 15257984 17437696 26701472 30515968 53402944 61031936 106805888 122063872 213611776 289986841 427223552 579973682 854447104 1159947364 2029907887 2319894728 4059815774 4639789456 8119631548 9279578912 14209355209 16239263096 18559157824 28418710418 32478526192 37118315648 56837420836 64957052384 74236631296 113674841672 129914104768 148473262592 227349683344 259828209536 296946525184 454699366688 519656419072 909398733376 1039312838144 1818797466752 2078625676288 3637594933504 7275189867008 14550379734016