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14438958818769 = 34372114112
BaseRepresentation
bin1101001000011101010100…
…0000101110010111010001
31220010100110212101101010000
43102013111000232113101
53343031441424200034
650413055514000213
73020115600633432
oct322072500562721
956110425341100
1014438958818769
114667589915171
12175244a116069
13809784a19274
1437cbc6811489
151a08ccbb5599
hexd21d502e5d1

14438958818769 has 45 divisors (see below), whose sum is σ = 22169961526251. Its totient is φ = 9364990355280.

The previous prime is 14438958818737. The next prime is 14438958818771. The reversal of 14438958818769 is 96781885983441.

The square root of 14438958818769 is 3799863.

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

14438958818769 is a `hidden beast` number, since 1 + 4 + 4 + 389 + 58 + 8 + 187 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12920178636225 + 1518780182544 = 3594465^2 + 1232388^2 .

It is not a de Polignac number, because 14438958818769 - 25 = 14438958818737 is a prime.

It is a super-2 number, since 2×144389588187692 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (14438958818719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1265348674 + ... + 1265360084.

Almost surely, 214438958818769 is an apocalyptic number.

14438958818769 is the 3799863-rd square number.

14438958818769 is the 1899932-nd centered octagonal number.

It is an amenable number.

14438958818769 is a deficient number, since it is larger than the sum of its proper divisors (7731002707482).

14438958818769 is an frugal number, since it uses more digits than its factorization.

14438958818769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22908 (or 11451 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 81.

14438958818769 divided by its sum of digits (81) gives a square (178258750849 = 4222072).

The spelling of 14438958818769 in words is "fourteen trillion, four hundred thirty-eight billion, nine hundred fifty-eight million, eight hundred eighteen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 37 81 111 333 999 1369 2997 4107 11411 12321 34233 36963 102699 110889 308097 422207 924291 1266621 3799863 11399589 15621659 34198767 46864977 130210921 140594931 390632763 421784793 1171898289 1265354379 3515694867 4817804077 10547084601 14453412231 43360236693 130080710079 178258750849 390242130237 534776252547 1604328757641 4812986272923 14438958818769