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14474977344 = 26365572
BaseRepresentation
bin11010111101100011…
…01010000001000000
31101100210020001000000
431132301222001000
5214121043233334
610352201000000
71021463164062
oct153661520100
941323201000
1014474977344
1161588247a3
12297b783000
131498b42669
149b45d7732
1559aba7299
hex35ec6a040

14474977344 has 147 divisors (see below), whose sum is σ = 43143430477. Its totient is φ = 4816329984.

The previous prime is 14474977339. The next prime is 14474977357. The reversal of 14474977344 is 44377947441.

The square root of 14474977344 is 120312.

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

14474977344 is a `hidden beast` number, since 1 + 4 + 47 + 497 + 73 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1270209600 + 13204767744 = 35640^2 + 114912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25987114 + ... + 25987670.

Almost surely, 214474977344 is an apocalyptic number.

14474977344 is the 120312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14474977344

14474977344 is an abundant number, since it is smaller than the sum of its proper divisors (28668453133).

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

14474977344 is an frugal number, since it uses more digits than its factorization.

14474977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 562 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 14474977344 in words is "fourteen billion, four hundred seventy-four million, nine hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 557 576 648 729 864 972 1114 1296 1458 1671 1728 1944 2228 2592 2916 3342 3888 4456 5013 5184 5832 6684 7776 8912 10026 11664 13368 15039 15552 17824 20052 23328 26736 30078 35648 40104 45117 46656 53472 60156 80208 90234 106944 120312 135351 160416 180468 240624 270702 310249 320832 360936 406053 481248 541404 620498 721872 812106 930747 962496 1082808 1240996 1443744 1624212 1861494 2165616 2481992 2792241 2887488 3248424 3722988 4331232 4963984 5584482 6496848 7445976 8376723 8662464 9927968 11168964 12993696 14891952 16753446 19855936 22337928 25130169 25987392 29783904 33506892 44675856 50260338 59567808 67013784 75390507 89351712 100520676 134027568 150781014 178703424 201041352 226171521 268055136 301562028 402082704 452343042 536110272 603124056 804165408 904686084 1206248112 1608330816 1809372168 2412496224 3618744336 4824992448 7237488672 14474977344