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1330955294144 = 2672970882353
BaseRepresentation
bin10011010111100011000…
…111100001010111000000
311201020102120012022210212
4103113203013201113000
5133301244023403034
62455233223013252
7165105212223350
oct23274307412700
94636376168725
101330955294144
11473500624913
12195b4629a228
139867c375c38
14485c0824b60
152494b84e2ce
hex135e31e15c0

1330955294144 has 28 divisors (see below), whose sum is σ = 3018416471664. Its totient is φ = 570409411584.

The previous prime is 1330955294131. The next prime is 1330955294167. The reversal of 1330955294144 is 4414925590331.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 1330955294092 and 1330955294101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1485440729 + ... + 1485441624.

Almost surely, 21330955294144 is an apocalyptic number.

1330955294144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330955294144 is an abundant number, since it is smaller than the sum of its proper divisors (1687461177520).

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

1330955294144 is an equidigital number, since it uses as much as digits as its factorization.

1330955294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970882372 (or 2970882362 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 1330955294144 in words is "one trillion, three hundred thirty billion, nine hundred fifty-five million, two hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2970882353 5941764706 11883529412 20796176471 23767058824 41592352942 47534117648 83184705884 95068235296 166369411768 190136470592 332738823536 665477647072 1330955294144