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1459235008144 = 243019972
BaseRepresentation
bin10101001111000001001…
…011110010111010010000
312011111112121002222200101
4111033001023302322100
5142402003130230034
63034210250302144
7210266126625544
oct25170113627220
95144477088611
101459235008144
11512949135681
121b6986a27954
13a77b3a1a854
14508ad647a24
1527e58653514
hex153c12f2e90

1459235008144 has 15 divisors (see below), whose sum is σ = 2827277190217. Its totient is φ = 729615088096.

The previous prime is 1459235008117. The next prime is 1459235008171. The reversal of 1459235008144 is 4418005329541.

The square root of 1459235008144 is 1207988.

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

It is an interprime number because it is at equal distance from previous prime (1459235008117) and next prime (1459235008171).

It can be written as a sum of positive squares in only one way, i.e., 175745408400 + 1283489599744 = 419220^2 + 1132912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1459235008094 and 1459235008103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4680954 + ... + 4982950.

Almost surely, 21459235008144 is an apocalyptic number.

1459235008144 is the 1207988-th square number.

It is an amenable number.

1459235008144 is a deficient number, since it is larger than the sum of its proper divisors (1368042182073).

1459235008144 is an frugal number, since it uses more digits than its factorization.

1459235008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604002 (or 301999 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 1459235008144 in words is "one trillion, four hundred fifty-nine billion, two hundred thirty-five million, eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 301997 603994 1207988 2415976 4831952 91202188009 182404376018 364808752036 729617504072 1459235008144