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14402844731664 = 24323162592
BaseRepresentation
bin1101000110010110110001…
…1100011010100100010000
31212222220021000100122222100
43101211230130122210100
53341434011222403124
650344324151440400
73014366630152644
oct321455434324420
955886230318870
1014402844731664
114653237407a94
12174744b686100
1380624aa5195c
1437b15c37ac24
1519e9b741a1c9
hexd196c71a910

14402844731664 has 45 divisors (see below), whose sum is σ = 40308088750423. Its totient is φ = 4800933063456.

The previous prime is 14402844731647. The next prime is 14402844731687. The reversal of 14402844731664 is 46613744820441.

It is a happy number.

The square root of 14402844731664 is 3795108.

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

14402844731664 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 2 + 8 + 4 + 473 + 166 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14402844731664.

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, 45383167 + ... + 45699425.

Almost surely, 214402844731664 is an apocalyptic number.

14402844731664 is the 3795108-th square number.

It is an amenable number.

14402844731664 is an abundant number, since it is smaller than the sum of its proper divisors (25905244018759).

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

14402844731664 is an frugal number, since it uses more digits than its factorization.

14402844731664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632532 (or 316264 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 14402844731664 in words is "fourteen trillion, four hundred two billion, eight hundred forty-four million, seven hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 316259 632518 948777 1265036 1897554 2530072 2846331 3795108 5060144 5692662 7590216 11385324 15180432 22770648 45541296 100019755081 200039510162 300059265243 400079020324 600118530486 800158040648 900177795729 1200237060972 1600316081296 1800355591458 2400474121944 3600711182916 4800948243888 7201422365832 14402844731664