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14093206744464 = 24323128412
BaseRepresentation
bin1100110100010101010010…
…0101001110110110010000
31211220022000210212011022100
43031011110211032312100
53321400341411310324
645550155123040400
72653125541534251
oct315052445166620
954808023764270
1014093206744464
114543993886311
1216b7436510100
137b2ca3236853
1436a1871ccb28
151968e3a5b4c9
hexcd15494ed90

14093206744464 has 45 divisors (see below), whose sum is σ = 39441531061569. Its totient is φ = 4697720565120.

The previous prime is 14093206744433. The next prime is 14093206744499. The reversal of 14093206744464 is 46444760239041.

The square root of 14093206744464 is 3754092.

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

14093206744464 is a `hidden beast` number, since 1 + 4 + 0 + 93 + 20 + 6 + 74 + 4 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 14093116646400 = 9492^2 + 3754080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14093206744464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44892684 + ... + 45205524.

Almost surely, 214093206744464 is an apocalyptic number.

14093206744464 is the 3754092-nd square number.

It is an amenable number.

14093206744464 is an abundant number, since it is smaller than the sum of its proper divisors (25348324317105).

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

14093206744464 is an frugal number, since it uses more digits than its factorization.

14093206744464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625696 (or 312846 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 14093206744464 in words is "fourteen trillion, ninety-three billion, two hundred six million, seven hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 312841 625682 938523 1251364 1877046 2502728 2815569 3754092 5005456 5631138 7508184 11262276 15016368 22524552 45049104 97869491281 195738982562 293608473843 391477965124 587216947686 782955930248 880825421529 1174433895372 1565911860496 1761650843058 2348867790744 3523301686116 4697735581488 7046603372232 14093206744464