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1488451240441 = 11219725632
BaseRepresentation
bin10101101010001110100…
…110111000000111111001
312021021221201121100220001
4111222032212320013321
5143341322004143231
63055441323433001
7212352131535424
oct25521646700771
95237851540801
101488451240441
11524280a15400
1220057b385761
13aa48b8c4279
14520819509bb
1528ab855eb61
hex15a8e9b81f9

1488451240441 has 27 divisors (see below), whose sum is σ = 1647339294223. Its totient is φ = 1343877531920.

The previous prime is 1488451240421. The next prime is 1488451240469. The reversal of 1488451240441 is 1440421548841.

The square root of 1488451240441 is 1220021.

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., 1458382293225 + 30068947216 = 1207635^2 + 173404^2 .

It is not a de Polignac number, because 1488451240441 - 29 = 1488451239929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1488451240391 and 1488451240400.

It is not an unprimeable number, because it can be changed into a prime (1488451240421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2643785226 + ... + 2643785788.

Almost surely, 21488451240441 is an apocalyptic number.

1488451240441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1488451240441 is the 1220021-st square number.

1488451240441 is the 610011-st centered octagonal number.

It is an amenable number.

1488451240441 is a deficient number, since it is larger than the sum of its proper divisors (158888053782).

1488451240441 is an frugal number, since it uses more digits than its factorization.

1488451240441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 46.

The spelling of 1488451240441 in words is "one trillion, four hundred eighty-eight billion, four hundred fifty-one million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 11 121 197 563 2167 6193 23837 38809 68123 110911 316969 426899 1220021 3486659 4695889 13420231 21849467 38353249 62442893 240344137 686871823 2643785507 7555590053 12301249921 135313749131 1488451240441