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1330434414045 = 3251117158102723
BaseRepresentation
bin10011010111000100000…
…100100001010111011101
311201012002021001212122100
4103113010010201113131
5133244212202222140
62455105414435313
7165056255633442
oct23270404412735
94635067055570
101330434414045
114732635a69a0
12195a1b962b39
13985c848cc69
14485715959c9
152491ac5e530
hex135c41215dd

1330434414045 has 48 divisors (see below), whose sum is σ = 2663714693952. Its totient is φ = 607114452480.

The previous prime is 1330434414019. The next prime is 1330434414047. The reversal of 1330434414045 is 5404144340331.

1330434414045 is a `hidden beast` number, since 1 + 3 + 304 + 344 + 1 + 4 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 1330434414045 - 211 = 1330434411997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330434414047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79042947 + ... + 79059776.

It is an arithmetic number, because the mean of its divisors is an integer number (55494056124).

Almost surely, 21330434414045 is an apocalyptic number.

1330434414045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330434414045 is an abundant number, since it is smaller than the sum of its proper divisors (1333280279907).

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

1330434414045 is a wasteful number, since it uses less digits than its factorization.

1330434414045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158102762 (or 158102759 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1330434414045 its reverse (5404144340331), we get a palindrome (6734578754376).

The spelling of 1330434414045 in words is "one trillion, three hundred thirty billion, four hundred thirty-four million, four hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 158102723 474308169 790513615 1422924507 1739129953 2371540845 2687746291 5217389859 7114622535 8063238873 8695649765 13438731455 15652169577 24189716619 26086949295 29565209201 40316194365 78260847885 88695627603 120948583095 147826046005 266086882809 443478138015 1330434414045