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14466779604484 = 224324729412
BaseRepresentation
bin1101001010000100111101…
…0000100110011000000100
31220020000021202002201110221
43102201033100212120010
53344010431034320414
650433540301554124
73022122166464034
oct322411720463004
956200252081427
1014466779604484
114678365a36259
121757913275944
1380c29977994c
143802a566d8c4
151a14aa32b224
hexd284f426604

14466779604484 has 81 divisors (see below), whose sum is σ = 26510702077461. Its totient is φ = 6907500233760.

The previous prime is 14466779604481. The next prime is 14466779604493. The reversal of 14466779604484 is 48440697766441.

The square root of 14466779604484 is 3803522.

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., 8970755794884 + 5496023809600 = 2995122^2 + 2344360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14466779604481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15373835454 + ... + 15373836394.

Almost surely, 214466779604484 is an apocalyptic number.

14466779604484 is the 3803522-nd square number.

It is an amenable number.

14466779604484 is a deficient number, since it is larger than the sum of its proper divisors (12043922472977).

14466779604484 is an frugal number, since it uses more digits than its factorization.

14466779604484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 70.

The spelling of 14466779604484 in words is "fourteen trillion, four hundred sixty-six billion, seven hundred seventy-nine million, six hundred four thousand, four hundred eighty-four".

Divisors: 1 2 4 43 47 86 94 172 188 941 1849 1882 2021 2209 3698 3764 4042 4418 7396 8084 8836 40463 44227 80926 86903 88454 94987 161852 173806 176908 189974 347612 379948 885481 1739909 1770962 1901761 2078669 3479818 3541924 3803522 4084441 4157338 6959636 7607044 8168882 8314676 16337764 38075683 41617607 76151366 81775723 83235214 89382767 152302732 163551446 166470428 178765534 327102892 357531068 1637254369 1789557101 1956027529 3274508738 3579114202 3843458981 3912055058 6549017476 7158228404 7686917962 7824110116 15373835924 76950955343 84109183747 153901910686 168218367494 307803821372 336436734988 3616694901121 7233389802242 14466779604484