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14345777406724 = 221277214832
BaseRepresentation
bin1101000011000010001011…
…1101110110001100000100
31212210102221220010012002221
43100300202331312030010
53340020123004003344
650302205324542124
73010306510665211
oct320604275661404
955712856105087
1014345777406724
114631012397125
1217383839b1944
13800a54a65c6a
143784a71a6b08
1519d2773ad184
hexd0c22f76304

14345777406724 has 27 divisors (see below), whose sum is σ = 25141738589877. Its totient is φ = 7162438764624.

The previous prime is 14345777406721. The next prime is 14345777406743. The reversal of 14345777406724 is 42760477754341.

The square root of 14345777406724 is 3787582.

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., 9423733436100 + 4922043970624 = 3069810^2 + 2218568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14345777406721) by changing a digit.

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, 9673483687 + ... + 9673485169.

Almost surely, 214345777406724 is an apocalyptic number.

14345777406724 is the 3787582-nd square number.

It is an amenable number.

14345777406724 is a deficient number, since it is larger than the sum of its proper divisors (10795961183153).

14345777406724 is an frugal number, since it uses more digits than its factorization.

14345777406724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 61.

The spelling of 14345777406724 in words is "fourteen trillion, three hundred forty-five billion, seven hundred seventy-seven million, four hundred six thousand, seven hundred twenty-four".

Divisors: 1 2 4 1277 1483 2554 2966 5108 5932 1630729 1893791 2199289 3261458 3787582 4398578 6522916 7575164 8797156 2418371107 2808492053 4836742214 5616984106 9673484428 11233968212 3586444351681 7172888703362 14345777406724