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14112004608 = 293213235577
BaseRepresentation
bin11010010010010010…
…00001101000000000
31100102111020010000100
431021021001220000
5212400133121413
610252153122400
71006465026402
oct151111015000
940374203010
1014112004608
115a91949a29
12289a0b9400
13143b8967b0
1497c310b72
15578da9a73
hex349241a00

14112004608 has 120 divisors (see below), whose sum is σ = 43861325508. Its totient is φ = 4342136832.

The previous prime is 14112004603. The next prime is 14112004633. The reversal of 14112004608 is 80640021141.

It is a happy number.

14112004608 is a `hidden beast` number, since 1 + 41 + 12 + 0 + 0 + 4 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12071856384 + 2040148224 = 109872^2 + 45168^2 .

It is not an unprimeable number, because it can be changed into a prime (14112004603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57885 + ... + 177692.

Almost surely, 214112004608 is an apocalyptic number.

14112004608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14112004608 is an abundant number, since it is smaller than the sum of its proper divisors (29749320900).

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

14112004608 is a wasteful number, since it uses less digits than its factorization.

14112004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235614 (or 235595 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14112004608 its reverse (80640021141), we get a palindrome (94752025749).

It can be divided in two parts, 1411200 and 4608, that multiplied together give a square (6502809600 = 806402).

The spelling of 14112004608 in words is "fourteen billion, one hundred twelve million, four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 235577 471154 706731 942308 1413462 1884616 2120193 2826924 3062501 3769232 4240386 5653848 6125002 7538464 8480772 9187503 11307696 12250004 15076928 16961544 18375006 22615392 24500008 27562509 30153856 33923088 36750012 45230784 49000016 55125018 60307712 67846176 73500024 90461568 98000032 110250036 120615424 135692352 147000048 180923136 196000064 220500072 271384704 294000096 361846272 392000128 441000144 542769408 588000192 784000256 882000288 1085538816 1176000384 1568000512 1764000576 2352000768 3528001152 4704001536 7056002304 14112004608